Some estimates concerning the Zeeman effect

Volume 105 / 1993

Wiesław Cupała 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.

Authors

  • Wiesław Cupała

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