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Spectral Shift Function for Magnetic Schrödinger Operators

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Mathematical Physics of Quantum Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 690))

Abstract

In this survey article based on the papers [7, 10], and [8], we consider the 3D Schröxzdinger operator with constant magnetic field of intensity b > 0, perturbed by an electric potential V which decays fast enough at infinity, and discuss various asymptotic properties of the corresponding spectral shift function.

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Author information

Authors and Affiliations

  1. Facultad de Ciencias, Universidad de Chile, Las Palmeras 3425, Santiago, Chile

    Georgi Raikov

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  1. Georgi Raikov
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Editors and Affiliations

  1. Département de Mathématiques, Université du Sud Toulon Var Centre de physique théorique, F-83957 La Garde Cedex, 20132, France

    Joachim Asch

  2. Institut Fourier Université Grenoble 1, 38402 Saint-Martin-d’Hères Cedex, 74, France

    Alain Joye

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© 2006 Springer

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Raikov, G. (2006). Spectral Shift Function for Magnetic Schrödinger Operators. In: Asch, J., Joye, A. (eds) Mathematical Physics of Quantum Mechanics. Lecture Notes in Physics, vol 690. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-34273-7_32

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