Some estimates concerning the Zeeman effect
Volume 105 / 1993
Studia Mathematica 105 (1993), 13-23
DOI: 10.4064/sm-105-1-13-23
Abstract
The Itô integral calculus and analysis on nilpotent Lie grops are used to estimate the number of eigenvalues of the Schrödinger operator for a quantum system with a polynomial magnetic vector potential. An analogue of the Cwikel-Lieb-Rosenblum inequality is proved.
