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Discrete spectrum of many body Schrödinger operators with non-constant magnetic fields I
Published online by Cambridge University Press: 22 January 2016
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In this paper we discuss the discrete spectrum of the Schrödinger operator HNZ(b), defined as below, for an atomic system in a magnetic field. Let where xj is a point in R3 (1 ≥ j ≥ N), and ∇j be the gradient in R3 with respect to xj (1 ≥ j ≥ N). Then we consider the following operator:
(1.1)
defined on , where 3 being real-valued and
(1.2)
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1997
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