Phase-space treatment of the driven quantum harmonic oscillator

Pramana

DIÓGENES CAMPOS1 2¹ 

[1] Universidad La Gran Colombia, Carrera 6 No. 12B-12, Bogotá, Colombia$$

关键词: Phase-space quantum mechanics;    coherent states;    harmonic oscillator;    Husimi distribution;    cross- Wigner functions;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

A recent phase-space formulation of quantum mechanics in terms of the Glauber coherent states is applied to study the interaction of a one-dimensional harmonic oscillator with an arbitrary time-dependent force. Wave functions of the simultaneous values of position q and momentum p are deduced, which in turn give the standard position and momentum wave functions, together with expressions for the ηth derivatives with respect to q and p, respectively. Afterwards, general formulae for momentum, position and energy expectation values are obtained, and the Ehrenfest theorem is verified. Subsequently, general expressions for the cross-Wigner functions are deduced. Finally, a specific example is considered to numerically and graphically illustrate some results.

【 授权许可】

Unknown