QUANTUM STATES WITH CONTINUOUS SPECTRUM FOR THE TIME-DEPENDENT HARMONIC OSCILLATOR WITH A SINGULAR PERTURBATION-Reference-Cited by-同舟云学术

QUANTUM STATES WITH CONTINUOUS SPECTRUM FOR THE TIME-DEPENDENT HARMONIC OSCILLATOR WITH A SINGULAR PERTURBATION

Published:2007-04-20 Issue:10 Volume:21 Page:585-593
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

CHOI JEONG RYEOL¹,OH JUN-YOUNG²

Affiliation:

1. Department of Physics and Advanced Materials Science, Sun Moon University, Asan 336-708, Republic of Korea

2. Department of Science Education, Jeonju National University of Education, Jeonju 500-757, Republic of Korea

Abstract

The quantum states with continuous spectrum for the time-dependent harmonic oscillator perturbed by a singularity are investigated. This system does not oscillate while the system that has discrete energy eigenvalue does. Exact wave functions satisfying the Schrödinger equation for the system are derived using invariant operator and unitary operator together.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984907012992

Reference33 articles.

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

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