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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2023 Volume 114, Issue 6, Pages 848–862 (Mi mzm14086)

This article is cited in 2 papers

Quasi-Classical Approximation of Monopole Harmonics

Yu. A. Kordyukova, I. A. Taimanovbc

a Institute of Mathematics with Computing Centre — Subdivision of the Ufa Federal Research Centre of the Russian Academy of Sciences, Ufa
b Novosibirsk State University
c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: Using the generalization of the multidimensional WKB method to magnetic Laplacians corresponding to monopoles, which we proposed earlier, we obtain explicit formulas for quasi-classical approximations of eigenfunctions for the Dirac monopole.

Keywords: quasi-classical approximation, magnetic Laplacian, magnetic monopole.

UDC: 515.168+517.958:530.145.72

MSC: 58J50, 81Q20

Received: 26.06.2023

DOI: 10.4213/mzm14086


 English version:
Mathematical Notes, 2023, 114:6, 1277–1288

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© Steklov Math. Inst. of RAS, 2025