Quantum integrals of motion for variable quadratic Hamiltonians

被引：42

作者：

Cordero-Soto, Ricardo ^{[2
]}

Suazo, Erwin ^{[3
]}

Suslov, Sergei K. ^{[1
,2
]}

机构：

[1] Arizona State Univ, Sch Math & Stat Sci, Tempe, AZ 85287 USA

[2] Arizona State Univ, Math Computat & Modeling Sci Ctr, Tempe, AZ 85287 USA

[3] Univ Puerto Rico, Dept Math Sci, Mayaguez, PR 00681 USA

来源：

ANNALS OF PHYSICS | 2010年 / 325卷 / 09期

基金：

美国国家科学基金会;

关键词：

The time dependent Schrodinger equation; Cauchy initial value problem; Green function; Propagator; Quantum damped oscillators; Caldirola-Kanai Hamiltonians; Quantum integrals of motion; Lewis-Riesenfeld dynamical invariant; Ermakov s equation; Ehrenfest s theorem; DEPENDENT HARMONIC-OSCILLATOR; NONLINEAR SCHRODINGER-EQUATIONS; COHERENT STATES; CHARGED-PARTICLE; WAVE-FUNCTIONS; ADIABATIC INVARIANTS; BERRY PHASE; SYSTEMS; QUANTIZATION; EVOLUTION;

D O I：

10.1016/j.aop.2010.02.020

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct integrals of motion for several models of the quantum damped oscillators in a framework of a general approach to the time dependent Schrodinger equation with variable quadratic Hamiltonians An extension of the Lewis-Riesenfeld dynamical invariant is given The time evolution of the expectation values of the energy-related positive operators is determined for the oscillators under consideration A proof of uniqueness of the corresponding Cauchy initial value problem is discussed as an application (C) 2010 Elsevier Inc All rights reserved

引用

页码：1884 / 1912

页数：29

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