Timeline for Vacuum vector and basis defined by anti-commuting operators
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 10, 2022 at 19:05 | answer | added | jjcale | timeline score: 3 | |
| Apr 10, 2022 at 16:10 | comment | added | LSpice | @CarloBeenakker, sure, and of course you are careful to say it that way in your answer. I was objecting to the claim that there is a unique vector $\Omega$, as in the body of the question. | |
| Apr 10, 2022 at 15:30 | comment | added | Carlo Beenakker | @LSpice --- certainly, vectors that differ by a complex factor describe the same state, in that sense $\Omega$ is a unique state. | |
| Apr 10, 2022 at 14:51 | comment | added | LSpice | The conditions that you have stated can pin down $\Omega$ at most only up to scaling—but I guess in quantum physics one often works in projective space rather than affine space anyway? | |
| Apr 10, 2022 at 7:55 | answer | added | Vladimir Dotsenko | timeline score: 4 | |
| Apr 10, 2022 at 6:34 | answer | added | Carlo Beenakker | timeline score: 1 | |
| Apr 10, 2022 at 6:27 | comment | added | user473423 | Start with $N=1$ and use Jordan normal form. Then use induction. Note that the kernel of $A_{N+1}$ is preserved by $A_j$ and $A_j^*$ for $j\le N$. For the induction step use that the claim holds on the kernel of $A$. | |
| Apr 10, 2022 at 2:23 | history | asked | MathMath | CC BY-SA 4.0 |