Timeline for Expectation value of $x,y,z$ for general $nlm$ state of hydrogen atom
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Apr 16, 2019 at 9:26 | history | edited | Emilio Pisanty | CC BY-SA 4.0 |
added 5 characters in body
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| Apr 16, 2019 at 8:02 | comment | added | Emilio Pisanty | If you absolutely want to do things via methods which are utterly unnecessarily complicated, you can reduce the integrals in your question to the triple products of harmonics in e.g. this question (being careful with the conjugate), and then using the properties of the Wigner 3j symbols (specifically, that they vanish if the bottom row dies not add to zero). But that route is the wrong thing to do - unless you really understand the physical content, you're just obscuring the reason instead of clarifying it. | |
| Apr 16, 2019 at 7:50 | comment | added | Emilio Pisanty | Yes, it can be simplified: $$\langle x\rangle = \langle y \rangle = \langle z\rangle = 0,$$ for all $\psi_{nlm} $, on symmetry grounds. | |
| Apr 16, 2019 at 7:14 | comment | added | user135580 | Does it vanish for all the states $\psi_{nlm}$? | |
| Apr 16, 2019 at 7:14 | comment | added | user135580 | Can you please bit elaborate? Is there any way that I can simplify this expression for $<x>$ and $<y>$ and $<z>$. | |
| Apr 16, 2019 at 6:57 | history | answered | Emilio Pisanty | CC BY-SA 4.0 |