Wave functions of a time-dependent harmonic oscillator with and without a singular perturbation

I. A. Pedrosa; G. P. Serra; I. Guedes

doi:10.1103/PhysRevA.56.4300

Wave functions of a time-dependent harmonic oscillator with and without a singular perturbation

I. A. Pedrosa, G. P. Serra, and I. Guedes

Phys. Rev. A 56, 4300 – Published 1 November 1997

Abstract

We use the Lewis and Riesenfeld invariant method to obtain the exact Schrödinger wave functions for a time-dependent harmonic oscillator with and without an inverse quadratic potential. As a particular case we also obtain the wave functions for the Caldirola-Kanai oscillator.

Received 17 December 1996

DOI:https://doi.org/10.1103/PhysRevA.56.4300

Authors & Affiliations

I. A. Pedrosa

Departamento de Física CCEN, Universidade Federal da Paraíba, Caixa Postal 5008, 58.059–970, J. Pessoa PB, Brazil

G. P. Serra and I. Guedes

Departamento de Física, Centro de Cie⁁ncias, Universidade Federal do Ceará, Caixa Postal 6030, Campus do Pici 60.450–760, Fortaleza CE, Brazil

References (Subscription Required)

Click to Expand

Issue

Vol. 56, Iss. 5 — November 1997

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Physical Review A

covering atomic, molecular, and optical physics and quantum information