| Abstract: | The asymptotic behavior of bound states is considered to the left of the boundary of the essential spectrum of the Schrödinger operator in homogeneous magnetic and decreasing electric fields. The electric potential is not considered nonpositive. It is assumed that the integral of the potential along the direction of the magnetic field has a powerlike behavior at infinity. It is shown that the asymptotic behavior of the bound states is powerlike and its leading term is computed.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol.182, pp. 131–141, 1990. |
