Abstract:
For a Schrödinger operator with a periodic potential perturbed by a function periodic with respect to two variables and tending to zero with respect to the third variable, conditions are found under which a level (eigenvalue or resonance) falls on a zone boundary. The passage of the level through the boundary under variation of the perturbation magnitude is discussed.
Citation:
Yu. P. Chuburin, “Schrödinger operator eigenvalue (resonance) on a zone boundary”, TMF, 126:2 (2001), 196–205; Theoret. and Math. Phys., 126:2 (2001), 161–168