Schrödinger equations with time-dependent P^2 and X^2 terms
| dc.creator | Nieto, Michael Martin | |
| dc.creator | Truax, D. Rodney | |
| dc.date | 1999-11-20 | |
| dc.date | 2002-01-21 | |
| dc.date.accessioned | 2026-07-07T06:17:15Z | |
| dc.date.available | 2026-07-07T06:17:15Z | |
| dc.description | We present some general results for the time-dependent mass Hamiltonian problem with H=-{1/2}e^{-2ν}\partial_{xx} +h^{(2)}(t)e^{2ν}x^2. This Hamiltonian corresponds to a time-dependent mass (TM) Schrödinger equation with the restriction that there are only P^2 and X^2 terms. We give the specific transformations to a different quantum Schrödinger(TQ) equation and to a different time-dependent oscillator (TO) equation. For each Schrödinger system, we give the Lie algebra of space-time symmetries and (x,t) representations for number states, coherent states, and squeezed states. These general results include earlier work as special cases. | |
| dc.description | LaTeX, 21 pages including one table. Minor changes noted and suggested by the referee | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9911093 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9911093 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94332 | |
| dc.subject | Quantum Physics | |
| dc.title | Schrödinger equations with time-dependent P^2 and X^2 terms | |
| dc.type | text |