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This article is cited in 4 scientific papers (total in 4 papers)
Brief Communications
Quasienergy states of multilevel systems
A. O. Melikyan
Abstract:
The Hill method is used in an analysis of the Schrodinger equation for a quatum system subjected to a time-periodic nonmonochromatic field. An algebraic equation is obtained and its degree in respect of exp(iET), where E is the quasienergy and T is the period of the external field, is equal to the number of levels. The coefficients of this equation are expanded in powers of the intensity parameter into a series with a factorial convergence even when one of the field frequencies is in exact resonance with one of the transitions. The Fourier components of the density matrix are expressed in terms of quasienergy considered as a function of the parameters of the problem and this gives approximate expressions outside the perturbation theory framework. Various results are obtained for a two-level system and, in particular, a formula is derived for the description of the natural lifetime of a quasienergy state.
Received: 30.03.1976
Citation:
A. O. Melikyan, “Quasienergy states of multilevel systems”, Kvantovaya Elektronika, 4:2 (1977), 429–432 [Sov J Quantum Electron, 7:2 (1977), 237–239]
Linking options:
https://www.mathnet.ru/eng/qe8974 https://www.mathnet.ru/eng/qe/v4/i2/p429
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Abstract page: | 115 | Full-text PDF : | 68 |
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