Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-1/2 particles

DOI10.1007/S11232-010-0089-0zbMath1255.81136OpenAlexW2081776981MaRDI QIDQ2276476

Andrey E. Mironov, Petr G. Grinevich

Publication date: 5 November 2012

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-010-0089-0

zbMATH Keywords

ground stateAharonov-Bohm effectalgebraic-geometric solutionBloch-Floquet manifoldnonzero magnetic fluxone-energy problemtwo-dimensional Pauli operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spinor and twistor methods applied to problems in quantum theory (81R25) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (1)

On the non-relativistic two-dimensional purely magnetic supersymmetric Pauli operator

Cites Work

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• Two-dimensional Schrödinger operators in periodic fields
• 2D-Schrödinger Operator, (2+1) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data
• Theta functions and non-linear equations
• The two-dimensional second-order differential spectral problem: compatibility conditions, general BTs and integrable equations
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES

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