Non-Hermitian time-dependent quantum systems with real energies

dc.creatorDutra, A. de Souza
dc.creatorHott, M. B.
dc.creatorSantos, V. G. C. S dos
dc.date2003-11-07
dc.date2004-09-16
dc.date.accessioned2026-07-07T06:08:16Z
dc.date.available2026-07-07T06:08:16Z
dc.descriptionIn this work we intend to study a class of time-dependent quantum systems with non-Hermitian Hamiltonians, particularly those whose Hermitian counterpart are important for the comprehension of posed problems in quantum optics and quantum chemistry, which consists of an oscillator with time-dependent mass and frequency under the action of a time-dependent imaginary potential. The propagator for a general time-dependence of the parameters and the wave-functions are obtained explicitly for constant frequency and mass and a linear time-dependence in the potential. The wave-functions are used to obtain the expectation value of the Hamiltonian. Although it is neither Hermitian nor PT symmetric, the case under study exhibits real values of energy.
dc.description8 pages - title and content changed
dc.identifierhttps://arxiv.org/abs/quant-ph/0311044
dc.identifierhttp://arxiv.org/abs/quant-ph/0311044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91571
dc.subjectQuantum Physics
dc.titleNon-Hermitian time-dependent quantum systems with real energies
dc.typetext

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