Timeline for Spectrum of operator involving ladder operators
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Jan 22, 2023 at 22:28 | comment | added | fedja | I'm just an idiot: I'm looking at one operator and seeing another one. Don't know why. So, please, disregard everything I said and accept my apologies :-) | |
| Jan 19, 2023 at 21:09 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
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| Jan 19, 2023 at 15:10 | comment | added | Carlo Beenakker | I am not quite sure what you mean; the property of $a$ I need is that $a^\ast$ does not annihilate any state in the Hilbert space ($a^\ast|\psi\rangle=0$ has no nonzero solution). | |
| Jan 19, 2023 at 14:56 | comment | added | fedja | That is more due to the lucky fact that the eigenvector of $a^*a$ corresponding to the eigenvalue $0$ is finitely supported than to the proposed idea itself. If it weren't, you would never see $0$ in any truncation despite all words about chiral symmetry and such would remain perfectly valid for a general compact $a$, woudn't they? I mean, the method definitely works in this case, but the explanation of why doesn't hold water IMHO. Am I saying nonsense? :-) | |
| Jan 19, 2023 at 14:46 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
added 2 characters in body
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| Jan 19, 2023 at 14:44 | vote | accept | António Borges Santos | ||
| Jan 19, 2023 at 14:38 | history | answered | Carlo Beenakker | CC BY-SA 4.0 |