Pauli operator and Aharonov-Casher theorem for measure valued magnetic fields

DOI10.1007/s002200100585zbMath0994.81036arXivmath-ph/0109015OpenAlexW2035080381MaRDI QIDQ1348982

Vitali Vougalter, László Erdős

Publication date: 21 May 2002

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0109015

zbMATH Keywords

Aharonov-Casher theoremPauli operator on \(L^2({\mathbb R}^2,{\mathbb C}^2)\)

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Singular integral equations (45E99)

Related Items (14)

Infiniteness of zero modes for the Pauli operator with singular magnetic field ⋮ Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains ⋮ On the Dirac and Pauli operators with several Aharonov-Bohm solenoids ⋮ The average field approximation for almost bosonic extended anyons ⋮ Landau levels on the hyperbolic plane in the presence of Aharonov-Bohm fields ⋮ Confinement-deconfinement transitions for two-dimensional Dirac particles ⋮ On the semi-classical analysis of the ground state energy of the Dirichlet Pauli operator ⋮ Analysis of zero modes for Dirac operators with magnetic links ⋮ Local exclusion and Lieb-Thirring inequalities for intermediate and fractional statistics ⋮ Self-adjointness and spectral properties of Dirac operators with magnetic links ⋮ Critical magnetic field for 2D magnetic Dirac-Coulomb operators and Hardy inequalities ⋮ Spectral properties and time decay of the wave functions of Pauli and Dirac operators in dimension two ⋮ Spectral properties of 2D Pauli operators with almost-periodic electromagnetic fields ⋮ Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions.

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