UNITARY TRANSFORMATIONS FOR THE TIME-DEPENDENT QUANTUM OSCILLATOR

被引：30
|
作者：
SELEZNYOVA, AN
机构：
[1] Department of Physics, Victoria University of Wellington, Wellington
来源：
PHYSICAL REVIEW A | 1995年 / 51卷 / 02期
关键词：
D O I：
10.1103/PhysRevA.51.950
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
An approach to study the time-dependent quantum oscillator with the Schrödinger operator S(Ω(t))1/2[p2+Ω2(t)x2]-i(/t) is presented. A family of unitary operators {W1z(t)} is found such that S(Ω(t))=W1z(t)S(ω)W1z°(t), where z=z(t) is a certain function and ω 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 {W1z(t)}. The approach is applied to calculate transition probabilities, Berry phases, and to study coherent states of the time-dependent oscillator. © 1995 The American Physical Society.
引用
收藏
页码：950 / 959
页数：10
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