Path integral approach to the general driven time-dependent harmonic oscillator and squeezed state
Jing-Bo Xu; Xun-Sheng Zhang; Shang-Bin Li; Jing-Bo Xu; Department of Physics, Zhejiang University, Hangzhou 310027, People's Republic of China; Xun-Sheng Zhang; Department of Physics, Zhejiang University, Hangzhou 310027, People's Republic of China; Shang-Bin Li; Department of Physics, Zhejiang University, Hangzhou 310027, People's Republic of China
Журнал:
Physica Scripta
Дата:
1997-09-01
Аннотация:
The time evolution of the general driven time-dependent harmonic oscillator is studied and the propagator and wave function are obtained by using a generalized canonical transformation and path integral method. We then proceed to construct the squeezed states for the system by making use of the wave function. The damped driven harmonic oscillator and the harmonic oscillator with strongly pulsating mass under the action of an arbitrary driving force are discussed as illustrative examples.
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