Spin-oscillatory coupling effect in parabolic magnetic field

We consider eigenvalue problem of the coupled spin-oscillator system in the external parabolic magnetic held B = (B-0 + G'x + G "x(2))(z) over cap. In result we obtain the energy spectrum exhibiting highly non-standard struct ure, due to the second gradient term. For some values of the latter and osc illatory frequency there is large energy difference between some magnetic s ublevels. The spectrum allows, in principle, to identify frequency of the o scillator via the spectrum of spin sublevels coming only from one oscillato ry level. (C) 2000 Elsevier Science B.V. All rights reserved.