Timeline for Spectrum of operator involving ladder operators
Current License: CC BY-SA 4.0
8 events
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| Jan 21, 2023 at 9:07 | comment | added | Carlo Beenakker | I think we agree, thanks for the clarification. | |
| Jan 20, 2023 at 22:14 | comment | added | Nik Weaver | Oh, I didn't realize $H(a,a^*)$ meant "normally ordered Hermitian operator" ... if your point is that this special class is tractable, I'm puzzled by the suggestion that Arveson's work "invalidates the entire field of quantum many-body physics". | |
| Jan 20, 2023 at 16:49 | comment | added | Carlo Beenakker | I don't think any of these examples are normally ordered Hermitian operators $H(a,a^\ast)$ (of the type $\sum_k c_k (a^\ast)^k a^k$ with $c_k\in\mathbb{R}$); I understood the question of the OP in that quantum mechanics context. | |
| Jan 20, 2023 at 16:07 | comment | added | Nik Weaver | @CarloBeenakker See Remark 3.13 of his paper for a simple class of examples. | |
| Jan 20, 2023 at 15:58 | history | edited | Nik Weaver | CC BY-SA 4.0 |
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| Jan 20, 2023 at 7:19 | comment | added | Carlo Beenakker | this statement is so strong, it seems as if it invalidates the entire field of quantum many-body physics; would you know of an example of a Hermitian operator $H(a,a^\ast)$ where the "naive" truncation approach fails? | |
| Jan 19, 2023 at 22:30 | history | edited | Nik Weaver | CC BY-SA 4.0 |
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| Jan 19, 2023 at 21:25 | history | answered | Nik Weaver | CC BY-SA 4.0 |