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December 2009 Models of damped oscillators in quantum mechanics
Ricardo Cordero-Soto, Erwin Suazo, Sergei K. Suslov
J. Phys. Math. 1: 1-16 (December 2009). DOI: 10.4303/jpm/S090603

Abstract

We consider several models of the damped oscillators in nonrelativistic quantum mechanics in a framework of a general approach to the dynamics of the time-dependent Schrödinger equation with variable quadratic Hamiltonians. The Green functions are explicitly found in terms of elementary functions and the corresponding gauge transformations are discussed. The factorization technique is applied to the case of a shifted harmonic oscillator. The time evolution of the expectation values of the energy-related operators is determined for two models of the quantum damped oscillators under consideration. The classical equations of motion for the damped oscillations are derived for the corresponding expectation values of the position operator.

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Ricardo Cordero-Soto. Erwin Suazo. Sergei K. Suslov. "Models of damped oscillators in quantum mechanics." J. Phys. Math. 1 1 - 16, December 2009. https://doi.org/10.4303/jpm/S090603

Information

Published: December 2009
First available in Project Euclid: 25 October 2010

zbMATH: 1264.81173
Digital Object Identifier: 10.4303/jpm/S090603

Subjects:
Primary: 35C05 , 42A38 , 81Q05

Keywords: damped oscillators , quantum mechanics , Schrödinger equation

Rights: Copyright © 2009 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

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