Does gravity affect the time evolution of a QM wave function?Why do we consider the evolution (usually in time) of a wave function?Time evolution of Gaussian wave packetHow to know if a wave function is physically acceptable solution of a Schrödinger equation?Schrödinger Equation and Special RelativityWho is doing the normalization of wave function in the time evolution of wave function?Time reversal symmetry in the Schrodinger equation and evolution of wave packetHow does gravity affect the wavefunction of a particle?Why do we assume that the wave function should satisfy the Schrödinger equation?Why is a wave function time dependent?What exactly is deterministic in Schrödinger's equation?
The art of clickbait captions
Why did the Dothraki not follow Jon?
Purpose and meaning of "dabei" in the sentence "sehen Sie dabei nicht ins Bildlexikon"?
Are these reasonable traits for someone with autism?
Is Jon Snow the last of his House?
Could a 19.25mm revolver actually exist?
Did 20% of US soldiers in Vietnam use heroin, 95% of whom quit afterwards?
Any advice on creating fictional locations in real places when writing historical fiction?
Should I disclose a colleague's illness (that I should not know) when others badmouth him
Looking for a soft substance that doesn't dissolve underwater
Which melee weapons have the Two-Handed property, but lack Heavy and Special?
Gladys goes shopping
Can a person survive on blood in place of water?
Caught student / friend cheating on the final exam that I proctored
Construct a word ladder
What was the idiom for something that we take without a doubt?
What is the object moving across the ceiling in this stock footage?
What is a Centaur Thief's climbing speed?
I unknowingly submitted plagarised work
How to know if a folder is a symbolic link?
Why aren't space telescopes put in GEO?
Why does this if-statement combining assignment and an equality check return true?
Website returning plaintext password
Does Nitrogen inside commercial airliner wheels prevent blowouts on touchdown?
Does gravity affect the time evolution of a QM wave function?
Why do we consider the evolution (usually in time) of a wave function?Time evolution of Gaussian wave packetHow to know if a wave function is physically acceptable solution of a Schrödinger equation?Schrödinger Equation and Special RelativityWho is doing the normalization of wave function in the time evolution of wave function?Time reversal symmetry in the Schrodinger equation and evolution of wave packetHow does gravity affect the wavefunction of a particle?Why do we assume that the wave function should satisfy the Schrödinger equation?Why is a wave function time dependent?What exactly is deterministic in Schrödinger's equation?
$begingroup$
We know that the Schrödinger equation describes the time evolution of a wave function, but how does gravity affect that evolution? For example, does the wave spread slower in a strong gravitational field that in a weaker one since a clock of the system runs slower?
quantum-mechanics newtonian-gravity wavefunction schroedinger-equation
edited May 12 at 19:14
Qmechanic♦
109k122061277
asked May 12 at 18:47
HulksterHulkster
19110
$endgroup$
add a comment |
$begingroup$
We know that the Schrödinger equation describes the time evolution of a wave function, but how does gravity affect that evolution? For example, does the wave spread slower in a strong gravitational field that in a weaker one since a clock of the system runs slower?
quantum-mechanics newtonian-gravity wavefunction schroedinger-equation
edited May 12 at 19:14
Qmechanic♦
109k122061277
asked May 12 at 18:47
HulksterHulkster
19110
$endgroup$
3
$begingroup$
The Schrödinger–Newton equation adds classical Newtonian gravity to Schrödinger's equation. You can find several resources via Google, Wikipedia, etc.
$endgroup$
– Rodney Dunning
May 12 at 18:55
$begingroup$
Do you specifically mean relativistic effects, or do you also want to know if the presence of a Newtonian potential $phi(x)$ affects the time evolution? (The answer is yes, since it contributes to the potential in Schrodingers equation.)
$endgroup$
– jacob1729
May 12 at 19:48
$begingroup$
My interpretation is that the OP does not want to simply place a particle in a gravity well but learn about the effects that strong gravitational fields might have on ordinary quantum systems in slightly different frames.
$endgroup$
– ggcg
May 12 at 19:55
add a comment |
$begingroup$
We know that the Schrödinger equation describes the time evolution of a wave function, but how does gravity affect that evolution? For example, does the wave spread slower in a strong gravitational field that in a weaker one since a clock of the system runs slower?
quantum-mechanics newtonian-gravity wavefunction schroedinger-equation
edited May 12 at 19:14
Qmechanic♦
109k122061277
asked May 12 at 18:47
HulksterHulkster
19110
$endgroup$
We know that the Schrödinger equation describes the time evolution of a wave function, but how does gravity affect that evolution? For example, does the wave spread slower in a strong gravitational field that in a weaker one since a clock of the system runs slower?
quantum-mechanics newtonian-gravity wavefunction schroedinger-equation
quantum-mechanics newtonian-gravity wavefunction schroedinger-equation
edited May 12 at 19:14
Qmechanic♦
109k122061277
asked May 12 at 18:47
HulksterHulkster
19110
edited May 12 at 19:14
Qmechanic♦
109k122061277
asked May 12 at 18:47
HulksterHulkster
19110
edited May 12 at 19:14
Qmechanic♦
109k122061277
edited May 12 at 19:14
Qmechanic♦
109k122061277
edited May 12 at 19:14
Qmechanic♦
109k122061277
109k122061277
asked May 12 at 18:47
HulksterHulkster
19110
asked May 12 at 18:47
HulksterHulkster
19110
asked May 12 at 18:47
HulksterHulkster
19110
19110
3
$begingroup$
The Schrödinger–Newton equation adds classical Newtonian gravity to Schrödinger's equation. You can find several resources via Google, Wikipedia, etc.
$endgroup$
– Rodney Dunning
May 12 at 18:55
$begingroup$
Do you specifically mean relativistic effects, or do you also want to know if the presence of a Newtonian potential $phi(x)$ affects the time evolution? (The answer is yes, since it contributes to the potential in Schrodingers equation.)
$endgroup$
– jacob1729
May 12 at 19:48
$begingroup$
My interpretation is that the OP does not want to simply place a particle in a gravity well but learn about the effects that strong gravitational fields might have on ordinary quantum systems in slightly different frames.
$endgroup$
– ggcg
May 12 at 19:55
add a comment |
3
$begingroup$
The Schrödinger–Newton equation adds classical Newtonian gravity to Schrödinger's equation. You can find several resources via Google, Wikipedia, etc.
$endgroup$
– Rodney Dunning
May 12 at 18:55
$begingroup$
Do you specifically mean relativistic effects, or do you also want to know if the presence of a Newtonian potential $phi(x)$ affects the time evolution? (The answer is yes, since it contributes to the potential in Schrodingers equation.)
$endgroup$
– jacob1729
May 12 at 19:48
$begingroup$
My interpretation is that the OP does not want to simply place a particle in a gravity well but learn about the effects that strong gravitational fields might have on ordinary quantum systems in slightly different frames.
$endgroup$
– ggcg
May 12 at 19:55
3
3
$begingroup$
The Schrödinger–Newton equation adds classical Newtonian gravity to Schrödinger's equation. You can find several resources via Google, Wikipedia, etc.
$endgroup$
– Rodney Dunning
May 12 at 18:55
$begingroup$
The Schrödinger–Newton equation adds classical Newtonian gravity to Schrödinger's equation. You can find several resources via Google, Wikipedia, etc.
$endgroup$
– Rodney Dunning
May 12 at 18:55
$begingroup$
Do you specifically mean relativistic effects, or do you also want to know if the presence of a Newtonian potential $phi(x)$ affects the time evolution? (The answer is yes, since it contributes to the potential in Schrodingers equation.)
$endgroup$
– jacob1729
May 12 at 19:48
$begingroup$
Do you specifically mean relativistic effects, or do you also want to know if the presence of a Newtonian potential $phi(x)$ affects the time evolution? (The answer is yes, since it contributes to the potential in Schrodingers equation.)
$endgroup$
– jacob1729
May 12 at 19:48
$begingroup$
My interpretation is that the OP does not want to simply place a particle in a gravity well but learn about the effects that strong gravitational fields might have on ordinary quantum systems in slightly different frames.
$endgroup$
– ggcg
May 12 at 19:55
$begingroup$
My interpretation is that the OP does not want to simply place a particle in a gravity well but learn about the effects that strong gravitational fields might have on ordinary quantum systems in slightly different frames.
$endgroup$
– ggcg
May 12 at 19:55
add a comment |
3 Answers
3
active
oldest
votes
$begingroup$
There is no theory of quantum gravity yet, but we can say that also in quantum mechanics, gravitational time dilation is affecting mass particle quantum systems. This fact is already used in quantum physics: The measured time (of the laboratory clock) is the time after gravitational time dilation (redshifted with respect to proper time), and from this measured time may be retrieved the proper time of the quantum system if we know the gravity forces which are acting on it.
answered May 12 at 18:59
MoonrakerMoonraker
2,13011023
$endgroup$
$begingroup$
Thanks for answering.
$endgroup$
– Hulkster
May 12 at 19:53
$begingroup$
There are some research efforts to make portable optical lattice clocks (a type of atomic clock) that work as sensitive gravimeters. I believe researchers in Japan already demonstrated measurements of height difference in 1 cm.
$endgroup$
– AmIAStudent
May 13 at 0:28
add a comment |
$begingroup$
If you're talking about the non relativistic Schrodinger equation
$$
i hbar fracddt psi = - frachbar^22m nabla^2 psi + V(x) psi
$$
then a gravitaional field effects the particle by changing the external potential $V(x)$ to be the gravitational potential energy at position $x$. In this case, no, there is no time dilation present.
If you want a relativistic theory of quantum mechanics, then you have to use quantum field theory. You could couple a quantum field to a fixed background metric $g_mu nu$, and in that case yes, there would actually be gravitational time dilation. The "wave function" of a particle is not perfectly well defined in curved space time, but I would say yes, for most intents you could say that the "wave function would spread slower" higher in a gravitational field.
answered May 12 at 19:55
user1379857user1379857
2,549830
$endgroup$
$begingroup$
Do you mean that the wave function would spread slower lower in a gravitational field?
$endgroup$
– S. McGrew
May 13 at 2:17
$begingroup$
Yes, that's right, I mixed it up
$endgroup$
– user1379857
May 13 at 2:47
add a comment |
$begingroup$
In the context of GR gravity is space-time curvature. Thus one can discuss the effect by developing and solving the QM equations one a curved manifold, using the metric tensor for the Schwartzchild metric. There is some theoretical research connected to this. One area of research in the 80's involved this approach in the context of demonstrating that trapping particles in curves and curved surfaces generated a geometry based potential well, leading to trapping particles in the highly curved regions. I realize this is not what you are asking about, but these articles are applicable to real solid-state systems and the approach is noteworthy as it serves as a toy model for figuring out what you want to do. Another area of research, similar time period, is developing QFT on curved space-time manifolds. There are actually some text books available on this topic that might interest you. I cannot recall the author, but google the phrase "Quantum Field Theory on curved space-times" and you'll find them.
answered May 12 at 19:53
ggcgggcg
1,822214
$endgroup$
add a comment |
Your Answer
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "151"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fphysics.stackexchange.com%2fquestions%2f479610%2fdoes-gravity-affect-the-time-evolution-of-a-qm-wave-function%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
3 Answers
3
active
oldest
votes
3 Answers
3
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
There is no theory of quantum gravity yet, but we can say that also in quantum mechanics, gravitational time dilation is affecting mass particle quantum systems. This fact is already used in quantum physics: The measured time (of the laboratory clock) is the time after gravitational time dilation (redshifted with respect to proper time), and from this measured time may be retrieved the proper time of the quantum system if we know the gravity forces which are acting on it.
answered May 12 at 18:59
MoonrakerMoonraker
2,13011023
$endgroup$
$begingroup$
Thanks for answering.
$endgroup$
– Hulkster
May 12 at 19:53
$begingroup$
There are some research efforts to make portable optical lattice clocks (a type of atomic clock) that work as sensitive gravimeters. I believe researchers in Japan already demonstrated measurements of height difference in 1 cm.
$endgroup$
– AmIAStudent
May 13 at 0:28
add a comment |
$begingroup$
There is no theory of quantum gravity yet, but we can say that also in quantum mechanics, gravitational time dilation is affecting mass particle quantum systems. This fact is already used in quantum physics: The measured time (of the laboratory clock) is the time after gravitational time dilation (redshifted with respect to proper time), and from this measured time may be retrieved the proper time of the quantum system if we know the gravity forces which are acting on it.
answered May 12 at 18:59
MoonrakerMoonraker
2,13011023
$endgroup$
$begingroup$
Thanks for answering.
$endgroup$
– Hulkster
May 12 at 19:53
$begingroup$
There are some research efforts to make portable optical lattice clocks (a type of atomic clock) that work as sensitive gravimeters. I believe researchers in Japan already demonstrated measurements of height difference in 1 cm.
$endgroup$
– AmIAStudent
May 13 at 0:28
add a comment |
$begingroup$
There is no theory of quantum gravity yet, but we can say that also in quantum mechanics, gravitational time dilation is affecting mass particle quantum systems. This fact is already used in quantum physics: The measured time (of the laboratory clock) is the time after gravitational time dilation (redshifted with respect to proper time), and from this measured time may be retrieved the proper time of the quantum system if we know the gravity forces which are acting on it.
answered May 12 at 18:59
MoonrakerMoonraker
2,13011023
$endgroup$
There is no theory of quantum gravity yet, but we can say that also in quantum mechanics, gravitational time dilation is affecting mass particle quantum systems. This fact is already used in quantum physics: The measured time (of the laboratory clock) is the time after gravitational time dilation (redshifted with respect to proper time), and from this measured time may be retrieved the proper time of the quantum system if we know the gravity forces which are acting on it.
answered May 12 at 18:59
MoonrakerMoonraker
2,13011023
answered May 12 at 18:59
MoonrakerMoonraker
2,13011023
answered May 12 at 18:59
MoonrakerMoonraker
2,13011023
answered May 12 at 18:59
MoonrakerMoonraker
2,13011023
2,13011023
$begingroup$
Thanks for answering.
$endgroup$
– Hulkster
May 12 at 19:53
$begingroup$
There are some research efforts to make portable optical lattice clocks (a type of atomic clock) that work as sensitive gravimeters. I believe researchers in Japan already demonstrated measurements of height difference in 1 cm.
$endgroup$
– AmIAStudent
May 13 at 0:28
add a comment |
$begingroup$
Thanks for answering.
$endgroup$
– Hulkster
May 12 at 19:53
$begingroup$
There are some research efforts to make portable optical lattice clocks (a type of atomic clock) that work as sensitive gravimeters. I believe researchers in Japan already demonstrated measurements of height difference in 1 cm.
$endgroup$
– AmIAStudent
May 13 at 0:28
$begingroup$
Thanks for answering.
$endgroup$
– Hulkster
May 12 at 19:53
$begingroup$
Thanks for answering.
$endgroup$
– Hulkster
May 12 at 19:53
$begingroup$
There are some research efforts to make portable optical lattice clocks (a type of atomic clock) that work as sensitive gravimeters. I believe researchers in Japan already demonstrated measurements of height difference in 1 cm.
$endgroup$
– AmIAStudent
May 13 at 0:28
$begingroup$
There are some research efforts to make portable optical lattice clocks (a type of atomic clock) that work as sensitive gravimeters. I believe researchers in Japan already demonstrated measurements of height difference in 1 cm.
$endgroup$
– AmIAStudent
May 13 at 0:28
add a comment |
$begingroup$
If you're talking about the non relativistic Schrodinger equation
$$
i hbar fracddt psi = - frachbar^22m nabla^2 psi + V(x) psi
$$
then a gravitaional field effects the particle by changing the external potential $V(x)$ to be the gravitational potential energy at position $x$. In this case, no, there is no time dilation present.
If you want a relativistic theory of quantum mechanics, then you have to use quantum field theory. You could couple a quantum field to a fixed background metric $g_mu nu$, and in that case yes, there would actually be gravitational time dilation. The "wave function" of a particle is not perfectly well defined in curved space time, but I would say yes, for most intents you could say that the "wave function would spread slower" higher in a gravitational field.
answered May 12 at 19:55
user1379857user1379857
2,549830
$endgroup$
$begingroup$
Do you mean that the wave function would spread slower lower in a gravitational field?
$endgroup$
– S. McGrew
May 13 at 2:17
$begingroup$
Yes, that's right, I mixed it up
$endgroup$
– user1379857
May 13 at 2:47
add a comment |
$begingroup$
If you're talking about the non relativistic Schrodinger equation
$$
i hbar fracddt psi = - frachbar^22m nabla^2 psi + V(x) psi
$$
then a gravitaional field effects the particle by changing the external potential $V(x)$ to be the gravitational potential energy at position $x$. In this case, no, there is no time dilation present.
If you want a relativistic theory of quantum mechanics, then you have to use quantum field theory. You could couple a quantum field to a fixed background metric $g_mu nu$, and in that case yes, there would actually be gravitational time dilation. The "wave function" of a particle is not perfectly well defined in curved space time, but I would say yes, for most intents you could say that the "wave function would spread slower" higher in a gravitational field.
answered May 12 at 19:55
user1379857user1379857
2,549830
$endgroup$
$begingroup$
Do you mean that the wave function would spread slower lower in a gravitational field?
$endgroup$
– S. McGrew
May 13 at 2:17
$begingroup$
Yes, that's right, I mixed it up
$endgroup$
– user1379857
May 13 at 2:47
add a comment |
$begingroup$
If you're talking about the non relativistic Schrodinger equation
$$
i hbar fracddt psi = - frachbar^22m nabla^2 psi + V(x) psi
$$
then a gravitaional field effects the particle by changing the external potential $V(x)$ to be the gravitational potential energy at position $x$. In this case, no, there is no time dilation present.
If you want a relativistic theory of quantum mechanics, then you have to use quantum field theory. You could couple a quantum field to a fixed background metric $g_mu nu$, and in that case yes, there would actually be gravitational time dilation. The "wave function" of a particle is not perfectly well defined in curved space time, but I would say yes, for most intents you could say that the "wave function would spread slower" higher in a gravitational field.
answered May 12 at 19:55
user1379857user1379857
2,549830
$endgroup$
If you're talking about the non relativistic Schrodinger equation
$$
i hbar fracddt psi = - frachbar^22m nabla^2 psi + V(x) psi
$$
then a gravitaional field effects the particle by changing the external potential $V(x)$ to be the gravitational potential energy at position $x$. In this case, no, there is no time dilation present.
If you want a relativistic theory of quantum mechanics, then you have to use quantum field theory. You could couple a quantum field to a fixed background metric $g_mu nu$, and in that case yes, there would actually be gravitational time dilation. The "wave function" of a particle is not perfectly well defined in curved space time, but I would say yes, for most intents you could say that the "wave function would spread slower" higher in a gravitational field.
answered May 12 at 19:55
user1379857user1379857
2,549830
edited May 13 at 0:51
answered May 12 at 19:55
user1379857user1379857
2,549830
answered May 12 at 19:55
user1379857user1379857
2,549830
answered May 12 at 19:55
user1379857user1379857
2,549830
2,549830
$begingroup$
Do you mean that the wave function would spread slower lower in a gravitational field?
$endgroup$
– S. McGrew
May 13 at 2:17
$begingroup$
Yes, that's right, I mixed it up
$endgroup$
– user1379857
May 13 at 2:47
add a comment |
$begingroup$
Do you mean that the wave function would spread slower lower in a gravitational field?
$endgroup$
– S. McGrew
May 13 at 2:17
$begingroup$
Yes, that's right, I mixed it up
$endgroup$
– user1379857
May 13 at 2:47
$begingroup$
Do you mean that the wave function would spread slower lower in a gravitational field?
$endgroup$
– S. McGrew
May 13 at 2:17
$begingroup$
Do you mean that the wave function would spread slower lower in a gravitational field?
$endgroup$
– S. McGrew
May 13 at 2:17
$begingroup$
Yes, that's right, I mixed it up
$endgroup$
– user1379857
May 13 at 2:47
$begingroup$
Yes, that's right, I mixed it up
$endgroup$
– user1379857
May 13 at 2:47
add a comment |
$begingroup$
In the context of GR gravity is space-time curvature. Thus one can discuss the effect by developing and solving the QM equations one a curved manifold, using the metric tensor for the Schwartzchild metric. There is some theoretical research connected to this. One area of research in the 80's involved this approach in the context of demonstrating that trapping particles in curves and curved surfaces generated a geometry based potential well, leading to trapping particles in the highly curved regions. I realize this is not what you are asking about, but these articles are applicable to real solid-state systems and the approach is noteworthy as it serves as a toy model for figuring out what you want to do. Another area of research, similar time period, is developing QFT on curved space-time manifolds. There are actually some text books available on this topic that might interest you. I cannot recall the author, but google the phrase "Quantum Field Theory on curved space-times" and you'll find them.
answered May 12 at 19:53
ggcgggcg
1,822214
$endgroup$
add a comment |
$begingroup$
In the context of GR gravity is space-time curvature. Thus one can discuss the effect by developing and solving the QM equations one a curved manifold, using the metric tensor for the Schwartzchild metric. There is some theoretical research connected to this. One area of research in the 80's involved this approach in the context of demonstrating that trapping particles in curves and curved surfaces generated a geometry based potential well, leading to trapping particles in the highly curved regions. I realize this is not what you are asking about, but these articles are applicable to real solid-state systems and the approach is noteworthy as it serves as a toy model for figuring out what you want to do. Another area of research, similar time period, is developing QFT on curved space-time manifolds. There are actually some text books available on this topic that might interest you. I cannot recall the author, but google the phrase "Quantum Field Theory on curved space-times" and you'll find them.
answered May 12 at 19:53
ggcgggcg
1,822214
$endgroup$
add a comment |
$begingroup$
In the context of GR gravity is space-time curvature. Thus one can discuss the effect by developing and solving the QM equations one a curved manifold, using the metric tensor for the Schwartzchild metric. There is some theoretical research connected to this. One area of research in the 80's involved this approach in the context of demonstrating that trapping particles in curves and curved surfaces generated a geometry based potential well, leading to trapping particles in the highly curved regions. I realize this is not what you are asking about, but these articles are applicable to real solid-state systems and the approach is noteworthy as it serves as a toy model for figuring out what you want to do. Another area of research, similar time period, is developing QFT on curved space-time manifolds. There are actually some text books available on this topic that might interest you. I cannot recall the author, but google the phrase "Quantum Field Theory on curved space-times" and you'll find them.
answered May 12 at 19:53
ggcgggcg
1,822214
$endgroup$
In the context of GR gravity is space-time curvature. Thus one can discuss the effect by developing and solving the QM equations one a curved manifold, using the metric tensor for the Schwartzchild metric. There is some theoretical research connected to this. One area of research in the 80's involved this approach in the context of demonstrating that trapping particles in curves and curved surfaces generated a geometry based potential well, leading to trapping particles in the highly curved regions. I realize this is not what you are asking about, but these articles are applicable to real solid-state systems and the approach is noteworthy as it serves as a toy model for figuring out what you want to do. Another area of research, similar time period, is developing QFT on curved space-time manifolds. There are actually some text books available on this topic that might interest you. I cannot recall the author, but google the phrase "Quantum Field Theory on curved space-times" and you'll find them.
answered May 12 at 19:53
ggcgggcg
1,822214
answered May 12 at 19:53
ggcgggcg
1,822214
answered May 12 at 19:53
ggcgggcg
1,822214
answered May 12 at 19:53
ggcgggcg
1,822214
1,822214
add a comment |
add a comment |
Thanks for contributing an answer to Physics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fphysics.stackexchange.com%2fquestions%2f479610%2fdoes-gravity-affect-the-time-evolution-of-a-qm-wave-function%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
3
$begingroup$
The Schrödinger–Newton equation adds classical Newtonian gravity to Schrödinger's equation. You can find several resources via Google, Wikipedia, etc.
$endgroup$
– Rodney Dunning
May 12 at 18:55
$begingroup$
Do you specifically mean relativistic effects, or do you also want to know if the presence of a Newtonian potential $phi(x)$ affects the time evolution? (The answer is yes, since it contributes to the potential in Schrodingers equation.)
$endgroup$
– jacob1729
May 12 at 19:48
$begingroup$
My interpretation is that the OP does not want to simply place a particle in a gravity well but learn about the effects that strong gravitational fields might have on ordinary quantum systems in slightly different frames.
$endgroup$
– ggcg
May 12 at 19:55