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- W2067030737 abstract "An approach to study the time-dependent quantum oscillator with the Schrodinger operator S(ensuremath{Omega}(t))ensuremath{equiv}1/2[${mathbf{p}}^{2}$+${mathrm{ensuremath{Omega}}}^{2}$(t)${mathbf{x}}^{2}$]-i(ensuremath{partial}/ensuremath{partial}t) is presented. A family of unitary operators {${mathbf{W}}_{1mathit{z}}$(t)} is found such that S(ensuremath{Omega}(t))=${mathbf{W}}_{1mathit{z}}$(t)S(ensuremath{omega})${mathbf{W}}_{1mathit{z}}^{mathrm{ifmmode^circelsetextdegreefi{}}}$(t), where z=z(t) is a certain function and ensuremath{omega} is a positive number. Wave vectors, the boson creation and destruction operators, the evolution operator, and invariants for the time-dependent oscillator are obtained by means of {${mathbf{W}}_{1mathit{z}}$(t)}. The approach is applied to calculate transition probabilities, Berry phases, and to study coherent states of the time-dependent oscillator." @default.
- W2067030737 created "2016-06-24" @default.
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- W2067030737 date "1995-02-01" @default.
- W2067030737 modified "2023-09-26" @default.
- W2067030737 title "Unitary transformations for the time-dependent quantum oscillator" @default.
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- W2067030737 doi "https://doi.org/10.1103/physreva.51.950" @default.
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