Timeline for Perelomov coherent states for an arbitrary Hamiltonian
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Mar 16, 2019 at 16:30 | vote | accept | lytex | ||
| Mar 16, 2019 at 16:30 | comment | added | lytex | These type of coherent states, in principle for an arbitrary Hamiltonian with pure point spectrum, are the Gazeau-Klauder coherent states. I'm not 100% sure if they are also valid when the classical Hamiltonian doesn't have action-angle variables, which is why I startted to investigate the Perelomov coherent states in the first place. Very interesting papers nonetheless. | |
| Mar 16, 2019 at 14:00 | comment | added | ZeroTheHero | For minimum uncertainty states use keyword “intelligent states” in GoogleScholar. | |
| Mar 16, 2019 at 13:55 | comment | added | ZeroTheHero | The strict definition would not work for this case, at least I don’t think, but you might find something directly useful in this older paper by Klauder ( arxiv.org/abs/quant-ph/9511033) and also in the work of Veronique Hussin on coherent states. | |
| Mar 16, 2019 at 11:47 | comment | added | lytex | I was thinking more about staying on the HW group but choosing a different Hamiltonian. Given the Coulomb 1-D Hamiltonian $H = p^2/2m + l^2/2r^2 - k/r$ for example, then the coherent states would be $\hat{T}(x, p)$ acting on the QHO ground state or acting on the Coulomb ground state? If we want minimum uncertainty then the "right" state would be the QHO ground state? | |
| Mar 16, 2019 at 2:26 | history | edited | ZeroTheHero | CC BY-SA 4.0 |
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| Mar 16, 2019 at 2:20 | history | edited | ZeroTheHero | CC BY-SA 4.0 |
added 89 characters in body
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| Mar 16, 2019 at 2:14 | history | answered | ZeroTheHero | CC BY-SA 4.0 |