LEWIS–RIESENFELD PHASES AND BERRY PHASES FOR THE HARMONIC OSCILLATOR WITH TIME-DEPENDENT FREQUENCY AND BOUNDARY CONDITIONS-Reference-Cited by-同舟云学术

LEWIS–RIESENFELD PHASES AND BERRY PHASES FOR THE HARMONIC OSCILLATOR WITH TIME-DEPENDENT FREQUENCY AND BOUNDARY CONDITIONS

Published:2003-04-20 Issue:10 Volume:17 Page:2045-2052
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

LI LING¹²,LI BO-ZANG³

Affiliation:

1. Department of Physics, Sichuan Normal University, Chengdu 610066, China

2. Department of Physics, Sichuan University, Chengdu 610065, Sichuan, China

3. Institute of Physics and Center for Condensed Matter Physics, Chinese Academy of Sciences, Beijing 100080, China

Abstract

We use Lewis and Riesenfeld's quantum invariant theory to calculate the Lewis–Riesenfeld phases for a time-dependent frequency harmonic oscillator that is confined between a fixed boundary and a moving one. We also discuss the Berry phase for the system with a sinusoidally oscillating boundary.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979203018223

Reference20 articles.

1. Quantal phase factors accompanying adiabatic changes

2. A geometrical quantum phase effect

3. A new non-local effect in quantum mechanics

4. Effective Hamiltonian and Berry phase in a quantum mechanical system with time dependent boundary conditions

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