Bohm potential for the time dependent harmonic oscillator
In the Madelung–Bohm approach to quantum mechanics, we consider a time dependent phase that depends quadratically on position, and we show that it leads to a Bohm potential that corresponds to a time dependent harmonic oscillator, provided the time dependent term in the phase obeys an Ermakov equati...
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| Veröffentlicht in: | Journal of mathematical physics 2021-12, Vol.62 (12) |
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| container_issue | 12 |
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| container_title | Journal of mathematical physics |
| container_volume | 62 |
| creator | Soto-Eguibar, Francisco Asenjo, Felipe A. Hojman, Sergio A. Moya-Cessa, Héctor M. |
| description | In the Madelung–Bohm approach to quantum mechanics, we consider a time dependent phase that depends quadratically on position, and we show that it leads to a Bohm potential that corresponds to a time dependent harmonic oscillator, provided the time dependent term in the phase obeys an Ermakov equation. |
| doi_str_mv | 10.1063/5.0044144 |
| format | Article |
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| identifier | ISSN: 0022-2488 |
| ispartof | Journal of mathematical physics, 2021-12, Vol.62 (12) |
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| language | eng |
| recordid | cdi_crossref_primary_10_1063_5_0044144 |
| source | AIP Journals Complete; Alma/SFX Local Collection |
| subjects | Harmonic oscillators Physics Quantum mechanics Time dependence |
| title | Bohm potential for the time dependent harmonic oscillator |
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