dorsal/arxiv
View SchemaNon-Hermitian time-dependent quantum systems with real energies
| Authors | A. de Souza Dutra, M. B. Hott, V. G. C. S dos Santos |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311044 |
| URL | https://arxiv.org/abs/quant-ph/0311044 |
Abstract
In 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.
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"abstract": "In this work we intend to study a class of time-dependent quantum systems\nwith non-Hermitian Hamiltonians, particularly those whose Hermitian counterpart\nare important for the comprehension of posed problems in quantum optics and\nquantum chemistry, which consists of an oscillator with time-dependent mass and\nfrequency under the action of a time-dependent imaginary potential. The\npropagator for a general time-dependence of the parameters and the\nwave-functions are obtained explicitly for constant frequency and mass and a\nlinear time-dependence in the potential. The wave-functions are used to obtain\nthe expectation value of the Hamiltonian. Although it is neither Hermitian nor\nPT symmetric, the case under study exhibits real values of energy.",
"arxiv_id": "quant-ph/0311044",
"authors": [
"A. de Souza Dutra",
"M. B. Hott",
"V. G. C. S dos Santos"
],
"categories": [
"quant-ph"
],
"title": "Non-Hermitian time-dependent quantum systems with real energies",
"url": "https://arxiv.org/abs/quant-ph/0311044"
},
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