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中国科学通报：英文版

THE COHERENT STATES OF HARMONIC OSCILLATOR WITH COMPLEX FREQUENCY

姜迅东

Published Jan 1, 1990• 0 citations
OpenAlex

Abstract

Ⅰ. INTRODUCTIONThe model of the harmonic oscillator with complex frequency is very valuable for the study of the dissipation theory in physics. The model of the dissipation and nuclear friction can be seen as particular cases of the harmonic oscillator with complex frequency. Because

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The aim of this work is to construct nonlinear coherent states of the pseudo-harmonic oscillator and to analyze some of its properties. The pseudo-harmonic potential can be viewed as an intermediate case between the harmonic and inharmonic potentials. The fact allows the implementation (with notable results), for inharmonic potentials, of some methods well known for harmonic potentials. An example is represented by the construction of nonlinear coherent states, which in the case of harmonic oscillator has found a lot of applications.