Timeline for Energy degeneracy of two particles in isotropic harmonic potential
Current License: CC BY-SA 3.0
13 events
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| Feb 25, 2023 at 16:56 | comment | added | Cosmas Zachos | I fear your getting the 12 in that question is pure luck. I get it as 3x(1+3)=12, but your 6x2=12 glosses over the fact that there are two separate channels for total antisymmetry, not impeding each other; so, accidentally, space and spin parts don't block each other. It is a fine shortcut, as long as you can justify it in your head, but I fear it won't always work. Unless you stated a general argument... | |
| Feb 25, 2023 at 7:59 | comment | added | curious_mind | @CosmasZachos please have a look at this approach, whether is it consistent with symmetry constrained counting problem like you described or not ? Thanks.physics.stackexchange.com/questions/751784/… | |
| Mar 31, 2018 at 16:15 | vote | accept | Jhonny | ||
| Mar 31, 2018 at 2:05 | history | edited | Cosmas Zachos | CC BY-SA 3.0 |
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| Mar 31, 2018 at 1:52 | comment | added | Cosmas Zachos | Right you are. (000)(011) and its 2 permutants is there, contributing 12 when multiplied by spin states. In fact, this 12 comes out of the overcounted 6, which should have been 3. I'll tweak the answer. | |
| Mar 30, 2018 at 23:01 | comment | added | Jhonny | Sorry for the late comment, but what about the (000) and (011) combination for the second excited state of fermions? Why is that not valid/does contribute to the degeneracy? | |
| Mar 30, 2018 at 9:37 | vote | accept | Jhonny | ||
| Mar 30, 2018 at 23:00 | |||||
| Mar 24, 2018 at 16:45 | vote | accept | Jhonny | ||
| Mar 30, 2018 at 9:34 | |||||
| Mar 17, 2018 at 13:21 | history | edited | Cosmas Zachos | CC BY-SA 3.0 |
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| Mar 16, 2018 at 10:55 | history | edited | Cosmas Zachos | CC BY-SA 3.0 |
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| Mar 16, 2018 at 0:38 | history | edited | Cosmas Zachos | CC BY-SA 3.0 |
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| Mar 15, 2018 at 22:43 | history | edited | Cosmas Zachos | CC BY-SA 3.0 |
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| Mar 15, 2018 at 22:37 | history | answered | Cosmas Zachos | CC BY-SA 3.0 |