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

DOI10.1070/RM2015v070n02ABEH004948zbMath1330.81080arXiv1101.5678OpenAlexW2226361302MaRDI QIDQ3449052

S. P. Novikov, Andrey E. Mironov, Petr G. Grinevich

Publication date: 3 November 2015

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5678

zbMATH Keywords

ground stateboundary-value problemsLandau levelsalgebro-geometric solutionsmagnetic Pauli operator

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Schrödinger operator, Schrödinger equation (35J10) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)

Related Items (1)

Topological phase transition in a molecular Hamiltonian with symmetry and pseudo-symmetry, studied through quantum, semi-quantum and classical models

Cites Work

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• Erratum to: ``Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-1/2 particles
• Period, index and potential \(\text Ш\)
• Two-dimensional Schrödinger operators in periodic fields
• Two-dimensional Schrödinger operator: inverse scattering transform and evolutional equations
• Analogs of multisoliton potentials for the two-dimensional Schrödinger operator
• Two-dimensional ``inverse scattering problem for negative energies and generalized-analytic functions. I: Energies below the ground state
• Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles
• Inverse scattering problem for the two-dimensional Schrödinger operator, the \({\bar\partial}\)-method and nonlinear equations
• Zero level of a purely magnetic two-dimensional nonrelativistic Pauli operator for spin-1/2 particles
• Harmonic maps from a 2-torus to the 3-sphere
• 2D-Schrödinger Operator, (2+1) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data
• Stone Duality for Nominal Boolean Algebras with И
• The Brauer-Manin Obstruction and III[2]
• Spectral theory of two-dimensional periodic operators and its applications

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