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