Europhys. Lett.
Volume 71, Number 2, July 2005
Page(s) 166 - 171
Section General
Published online 08 June 2005
Europhys. Lett., 71 (2), pp. 166-171 (2005)
DOI: 10.1209/epl/i2005-10073-7

Time-dependent non-Hermitian Hamiltonians with real energies

A. de Souza Dutra, M. B. Hott and V. G. C. S. dos Santos

UNESP, Campus de Guaratinguetá, DFQ - Av. Dr. Ariberto Pereira Cunha 333 P.O. Box 205, 12516-410 Guaratinguetá, SP, Brazil

received 21 March 2005; accepted in final form 13 May 2005
published online 8 June 2005

In this work we intend to study a class of time-dependent quantum systems with non-Hermitian Hamiltonians, particularly those whose Hermitian counterparts are important for the comprehension of posed problems in quantum optics and quantum chemistry. They consist of an oscillator with time-dependent mass and frequency under the action of a time-dependent imaginary potential. The wave functions are used to obtain the expectation value of the Hamiltonian. Although it is neither Hermitian nor PT symmetric, the Hamiltonian under study exhibits real values of energy.

03.65.Ca - Formalism.
03.65.Ge - Solutions of wave equations: bound states.

© EDP Sciences 2005