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APS » Journals » Phys. Rev. A » Volume 56 » Issue 5
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Phys. Rev. A 56, 4300–4303 (1997)

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

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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

Received 17 December 1996; published in the issue dated November 1997

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.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.56.4300
DOI:
10.1103/PhysRevA.56.4300
PACS:
03.65.Ca, 03.65.Fd, 03.65.Ge
 
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