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Teoreticheskaya i Matematicheskaya Fizika, 1977, Volume 30, Number 3, Pages 395–407 (Mi tmf2825)  

This article is cited in 7 scientific papers (total in 7 papers)

Quasienergy states of a flat rotator in the field of a circularly polarized wave

N. L. Manakov, L. P. Rapoport, A. G. Fainshtein
References:
Abstract: Exact solution of the spectrum of quasienergy (Ek) problem is obtained and complete set of the quasienergy states (steady states) is constructed for the flat rotator with the constant dipole moment p0 rotating in the plane of the electric vector of circular polarized wave. Presence of discontinuities of the jump type in the frequency dependence Ek=Ek(Ω) at resonance values of the field frequency Ω is shown, the discontinuities being similar to those in the functional dependence of the electron energy on the quasimomentum k in a crystal!. Limiting cases of the weak and strong field are investigated. Some general properties of quasienergy solutions are considered, such as the connection of quasienergy with the mean energy in the steady states, qualitative behaviour of the system in resonance field, and changing of quantum number of the state with adiabatic variation of field frequency.
Received: 23.03.1976
English version:
Theoretical and Mathematical Physics, 1977, Volume 30, Issue 3, Pages 255–263
DOI: https://doi.org/10.1007/BF01036719
Language: Russian
Citation: N. L. Manakov, L. P. Rapoport, A. G. Fainshtein, “Quasienergy states of a flat rotator in the field of a circularly polarized wave”, TMF, 30:3 (1977), 395–407; Theoret. and Math. Phys., 30:3 (1977), 255–263
Citation in format AMSBIB
\Bibitem{ManRapFai77}
\by N.~L.~Manakov, L.~P.~Rapoport, A.~G.~Fainshtein
\paper Quasienergy states of a flat rotator in the field of a circularly polarized wave
\jour TMF
\yr 1977
\vol 30
\issue 3
\pages 395--407
\mathnet{http://mi.mathnet.ru/tmf2825}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 30
\issue 3
\pages 255--263
\crossref{https://doi.org/10.1007/BF01036719}
Linking options:
  • https://www.mathnet.ru/eng/tmf2825
  • https://www.mathnet.ru/eng/tmf/v30/i3/p395
  • This publication is cited in the following 7 articles:
    1. E. V. Koryukina, “The Regularities of the Dynamic Stark Effect in Rare Gases”, Russ Phys J, 48:9 (2005), 891  crossref
    2. E V Koryukina, “Modelling of the dynamic Stark effect and calculation of the transition probabilities for an Ar atom”, J. Phys. D: Appl. Phys., 38:17 (2005), 3296  crossref
    3. N.L. Manakov, V.D. Ovsiannikov, L.P. Rapoport, “Atoms in a laser field”, Physics Reports, 141:6 (1986), 320  crossref
    4. J. N. L. Connor, T. Uzer, R. A. Marcus, A. D. Smith, “Eigenvalues of the Schrödinger equation for a periodic potential with nonperiodic boundary conditions: A uniform semiclassical analysis”, The Journal of Chemical Physics, 80:10 (1984), 5095  crossref
    5. N. L. Manakov, A. G. Fainshtein, “Quasistationary quasi-energy states and convergence of perturbation series in a monochromatic field”, Theoret. and Math. Phys., 48:3 (1981), 815–822  mathnet  crossref  isi
    6. F. M. Izrailev, D. L. Shepelyanskii, “Quantum resonance for a rotator in a nonlinear periodic field”, Theoret. and Math. Phys., 43:3 (1980), 553–561  mathnet  crossref  mathscinet  isi
    7. P. A. Braun, “WKB method for three-term recursion relations and quasienergies of an anharmonic oscillator”, Theoret. and Math. Phys., 37:3 (1978), 1070–1081  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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