COMPLETE EXACT QUANTUM STATES OF THE GENERALIZED TIME-DEPENDENT HARMONIC OSCILLATOR-Reference-Cited by-同舟云学术

COMPLETE EXACT QUANTUM STATES OF THE GENERALIZED TIME-DEPENDENT HARMONIC OSCILLATOR

Published:2004-10-20 Issue:24 Volume:18 Page:1267-1274
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

PEDROSA I. A.¹

Affiliation:

1. Departamento de Física, CCEN, Universidade Federal da Paraíba, Caixa Postal, 5008, 58051-970, João Pessoa, PB, Brazil

Abstract

By making use of linear and quadratic invariants and the invariant operator formulation of Lewis and Riesenfeld, the complete exact solutions of the Schrödinger equation for the generalized time-dependent harmonic oscillator are obtained. It is shown that the general solution of the system under consideration contains both the discrete and continuous spectrum. The connection between linear and quadratic invariants and their corresponding eigenstates via time-dependent auxiliary equations is also established.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021798490400775X

Reference7 articles.

1. An Exact Quantum Theory of the Time‐Dependent Harmonic Oscillator and of a Charged Particle in a Time‐Dependent Electromagnetic Field

2. More exact invariants for the time-dependent harmonic oscillator

3. Solutions to the time-dependent Schrödinger equation

4. Exact wave functions of a harmonic oscillator with time-dependent mass and frequency

5. The quantum damped harmonic oscillator

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