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.
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
\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:
E. V. Koryukina, “The Regularities of the Dynamic Stark Effect in Rare Gases”, Russ Phys J, 48:9 (2005), 891
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
N.L. Manakov, V.D. Ovsiannikov, L.P. Rapoport, “Atoms in a laser field”, Physics Reports, 141:6 (1986), 320
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
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
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
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