an:05662065
Zbl 1178.35275
Danilov, L. I.
The spectrum of the two-dimensional periodic Schr??dinger operator
EN
Theor. Math. Phys. 134, No. 3, 392-403 (2003); translation from Teor. Mat. Fiz. 134, No. 3, 447-459 (2003).
00194068
2003
j
35P05 81Q10 35J10 35Q40
Schr??dinger operator; spectrum; periodic electric potential; periodic magnetic potential; variable metric
Summary: The absence of eigenvalues (of infinite multiplicity) for the two-dimensional periodic Schr??dinger operator with a variable metric is proved. The method of proof does not use the change of variables reducing the metric to a scalar form.