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Outline of Schrödinger equation for different levels High school
In the first equation after "THE HYDROGEN ATOM" should it be r^2 instead of r. For a learner like me it would be good to have the units of the parameters described eg I assume the units for epsi are Coulombs per cubic metre. |
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Is a wave function a vector?
"A wave function can be an eigenvector of an observable" 88.111.117.83 ( talk) 18:28, 31 August 2023 (UTC)
I'm no expert so maybe I'm just confused, but under the section "Separation of variables", the first sentence after the equation, it says, "The operator on the right side depends only on time; the one on the left side depends only on space." but the left operator is i\hbar\frac{\partial}{\partial t} and the right operator contains the \nabla^2. Then, below the next equation, the next sentence says, "Substituting this expression for \Psi into the time dependent left hand side shows that...".
Am I confused? The two places seem to contradict each other. It seems to me the first sentence is wrong. It should read:
"The operator on the right side depends only on space; the one on the left side depends only on time."
That is to say, should the words "time" and "space" be swapped in that sentence?
(P.S. Due to my lack of experience editing wikis, if my observation is correct, could someone make that change other than me. I get this deep only once a decade or so, so it would be better for everyone if I just watch. Thanks.) BornRightTheFirstTime ( talk) 18:20, 8 November 2023 (UTC)
@ EditingPencil Thanks for your recent edits. I want to encourage more qualitative physics and less math.
I think we should expect readers of this article to include interested first physics undergrads. For example, in my opinion the section on "Probability current" should be describing what the heck probability current is and why it is related to Schrodinger's equation. It should be a summary only; they should not be faced with a proof. There are lots of other articles for details, eg Probability current Johnjbarton ( talk) 19:19, 14 December 2023 (UTC)
@ Rolancito recently added this GIF:
The caption says:
But I can't figure out what it means. I assume that the graph plots 1D solution amplitude vs x. What is "40"? Why is the graph flopping around? We are told there are two solutions, but only some are valid: are these the valid ones? If yes, why are you telling us about the discarded ones? What is the significance of the seemingly infinite amplitude for large values of x?
Finally, and most important, which reference can I consult to verify this image? Johnjbarton ( talk) 16:16, 20 April 2024 (UTC)
The following paragraph in the "definition" of the SE is irrelevant:
The paragraph above goes off-topic as it talks about the measurement postulate and observables, not about Schrödinger's equation. I propose to move it to a page about measurement in quantum mechanics. This is a major change, just wanted to ask what was the purpose of this paragraph? Rolancito ( talk) 19:51, 7 May 2024 (UTC)
![]() | This article is written in American English, which has its own spelling conventions (color, defense, traveled) and some terms that are used in it may be different or absent from other varieties of English. According to the relevant style guide, this should not be changed without broad consensus. |
![]() | Schrödinger equation was one of the Natural sciences good articles, but it has been removed from the list. There are suggestions below for improving the article to meet the good article criteria. Once these issues have been addressed, the article can be renominated. Editors may also seek a reassessment of the decision if they believe there was a mistake. | ||||||||||||
| |||||||||||||
Current status: Delisted good article |
![]() | This ![]() It is of interest to the following WikiProjects: | ||||||||||||||||||||||||||||||
|
Outline of Schrödinger equation for different levels High school
In the first equation after "THE HYDROGEN ATOM" should it be r^2 instead of r. For a learner like me it would be good to have the units of the parameters described eg I assume the units for epsi are Coulombs per cubic metre. |
This page has archives. Sections older than 365 days may be automatically archived by Lowercase sigmabot III when more than 5 sections are present. |
![]() |
Daily pageviews of this article
A graph should have been displayed here but
graphs are temporarily disabled. Until they are enabled again, visit the interactive graph at
pageviews.wmcloud.org |
Is a wave function a vector?
"A wave function can be an eigenvector of an observable" 88.111.117.83 ( talk) 18:28, 31 August 2023 (UTC)
I'm no expert so maybe I'm just confused, but under the section "Separation of variables", the first sentence after the equation, it says, "The operator on the right side depends only on time; the one on the left side depends only on space." but the left operator is i\hbar\frac{\partial}{\partial t} and the right operator contains the \nabla^2. Then, below the next equation, the next sentence says, "Substituting this expression for \Psi into the time dependent left hand side shows that...".
Am I confused? The two places seem to contradict each other. It seems to me the first sentence is wrong. It should read:
"The operator on the right side depends only on space; the one on the left side depends only on time."
That is to say, should the words "time" and "space" be swapped in that sentence?
(P.S. Due to my lack of experience editing wikis, if my observation is correct, could someone make that change other than me. I get this deep only once a decade or so, so it would be better for everyone if I just watch. Thanks.) BornRightTheFirstTime ( talk) 18:20, 8 November 2023 (UTC)
@ EditingPencil Thanks for your recent edits. I want to encourage more qualitative physics and less math.
I think we should expect readers of this article to include interested first physics undergrads. For example, in my opinion the section on "Probability current" should be describing what the heck probability current is and why it is related to Schrodinger's equation. It should be a summary only; they should not be faced with a proof. There are lots of other articles for details, eg Probability current Johnjbarton ( talk) 19:19, 14 December 2023 (UTC)
@ Rolancito recently added this GIF:
The caption says:
But I can't figure out what it means. I assume that the graph plots 1D solution amplitude vs x. What is "40"? Why is the graph flopping around? We are told there are two solutions, but only some are valid: are these the valid ones? If yes, why are you telling us about the discarded ones? What is the significance of the seemingly infinite amplitude for large values of x?
Finally, and most important, which reference can I consult to verify this image? Johnjbarton ( talk) 16:16, 20 April 2024 (UTC)
The following paragraph in the "definition" of the SE is irrelevant:
The paragraph above goes off-topic as it talks about the measurement postulate and observables, not about Schrödinger's equation. I propose to move it to a page about measurement in quantum mechanics. This is a major change, just wanted to ask what was the purpose of this paragraph? Rolancito ( talk) 19:51, 7 May 2024 (UTC)