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The negative discrete spectrum of a class of two‐dimensional Schrödinger operators with magnetic fields

Article type: Research Article

Authors: Laptev, A.; | Safronov, O.

Affiliations: Department of Mathematics, Royal Institute of Technology, S‐100 44 Stocholm, Sweden E‐mail: {laptev; safronov}@math.kth.se

Note: [] Corresponding author.

Note: [] The first author was supported by the Swedish Natural Sciences Research Council, Grant M‐AA/MA 09364‐320.

Abstract: We obtain an asymptotic formula for the number of negative eigenvalues of a class of two‐dimensional Schrödinger operators with small magnetic fields. This number increases as a coupling constant of the magnetic field tends to zero.

Journal: Asymptotic Analysis, vol. 41, no. 2, pp. 107-117, 2005

Published: 2005
Price: EUR 27.50
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