Vn. Ostrovsky, MODEL SYSTEM WITH PERIODICITY BOTH IN ENERGY AND TIME - AN UNCONVENTIONAL TYPE OF ZONE STRUCTURE, Journal of physics. A, mathematical and general, 30(8), 1997, pp. 2807-2810
Two infinite bands of equidistant potential curves cross each other fo
rming patterns which are periodic both in time and in energy. The depe
ndence of the quasi-energy on the quasi-momentum (related to the trans
lations along the energy axis) manifests zone structure analogous to t
hat known in solid state physics. The properties of the zones are anal
ysed.