Timeline for Schrodinger equation, commutative operators, and Symmetry
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Feb 4, 2015 at 17:08 | history | edited | Ruslan | CC BY-SA 3.0 |
Make the equations displayed
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| Feb 4, 2015 at 5:50 | answer | added | Ali Moh | timeline score: 1 | |
| Feb 4, 2015 at 5:34 | comment | added | arynhard | @SurgicalCommander: is there any mathematical significance? Maybe not physics so much but maybe some linear algebra theorem(s) that can help me draw conclusions about other physical models that have solutions which share eigenvalues? | |
| Feb 4, 2015 at 5:31 | comment | added | Surgical Commander | Your welcome. I just don't think there's a deep meaning behind this, it's just the usual thing when solving a linear wave equation in 3D. | |
| Feb 4, 2015 at 5:25 | history | edited | arynhard | CC BY-SA 3.0 |
Improved title
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| Feb 4, 2015 at 5:24 | comment | added | arynhard | @SurgicalCommander: thank you. I am not really looking for more of an understanding of separation of variables. I am looking more for the significance of shared eigenvalues, commutativity, and symmetry. Sorry if my question is unclear. | |
| Feb 4, 2015 at 5:17 | comment | added | Surgical Commander | All the complications of quantum mechanics aren't crucial for understanding what's going on here. Separation of variables is a standard and straightforward mathematical procedure to write down general solutions of linear PDE's in terms of superpositions of known functions (like spherical harmonics). I'd recommend just reading about separation of variables, perhaps in the context of classical electromagnetism. The quantum mechanical nature of the problem is important for how to interpret the solutions once you have them but it's not very helpful for understanding the separation of variables. | |
| Feb 4, 2015 at 4:58 | history | edited | arynhard | CC BY-SA 3.0 |
added 11 characters in body
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| Feb 4, 2015 at 4:33 | review | First posts | |||
| Feb 4, 2015 at 4:40 | |||||
| Feb 4, 2015 at 4:33 | history | asked | arynhard | CC BY-SA 3.0 |