Time-dependent non-Hermitian Hamiltonians with real energiesA. 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.
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