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QUANTUM STATES OF A GENERALIZED PENDULUM UNDER TIME-DEPENDENT GRAVITATION

Departamento de Física, Universidade Federal do Ceará, Caixa Postal 6030, 60451-970, Fortaleza, Ceará, Brazil

Permanent address: Universidade Federal da Paraíba, Departamento de Física – CCEN, Caixa Postal 5008, CEP. 58051-970, João Pessoa, PB, Brazil.

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and

I. GUEDES

Departamento de Física, Universidade Federal do Ceará, Caixa Postal 6030, 60451-970, Fortaleza, Ceará, Brazil

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https://doi.org/10.1142/S0217732305015574Cited by:1 (Source: Crossref)

Abstract

We obtain the Schrödinger wave functions of a generalized pendulum under time-dependent gravitation by making use of the Lewis and Riesenfeld invariant method. As an example, we consider a generalized pendulum with constant gravitation and exponentially increasing mass. We also present a canonical approach to the generalized time-dependent pendulum.

Keywords:

PACS: 03.65.Ca, 03.65.Fd, 03.65.Ge

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