PERIODIC AHARONOV–BOHM SOLENOIDS IN A CONSTANT MAGNETIC FIELD

DOI10.1142/S0129055X06002826zbMath1113.81055OpenAlexW2066002315MaRDI QIDQ3422244

Takuya Mine, Yuji Nomura

Publication date: 9 February 2007

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

Full work available at URL: https://doi.org/10.1142/s0129055x06002826

zbMATH Keywords

singular perturbationSchrödinger operatorAharonov-Bohm effectcanonical commutation relationLandau levelperiodic magnetic fielddelta magnetic field

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Applications of operator theory in the physical sciences (47N50) General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (5)

The heat kernel for two Aharonov-Bohm solenoids in a uniform magnetic field ⋮ Supersymmetries of the spin-1/2 particle in the field of magnetic vortex, and anyons ⋮ SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS ⋮ Landau levels on the hyperbolic plane in the presence of Aharonov-Bohm fields ⋮ The spectrum of Schrödinger operators with random \(\delta \) magnetic fields

Cites Work

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