Generalized boundary conditions for the Aharonov–Bohm effect combined with a homogeneous magnetic field

DOI10.1063/1.1463712zbMath1059.81056arXivquant-ph/0111050OpenAlexW2076357884MaRDI QIDQ4830792

Pavel Exner, Petr Vytřas, Pavel Šťovíček

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0111050

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (13)

The heat kernel for two Aharonov-Bohm solenoids in a uniform magnetic field ⋮ Green functions of the Dirac equation with magnetic-solenoid field ⋮ Improved time-decay for a class of many-magnetic Schrödinger flows ⋮ A charged particle in a homogeneous magnetic field accelerated by a time-periodic Aharonov-Bohm flux ⋮ Aharonov-Bohm effect on the Poincaré disk ⋮ SPECTRAL AND SCATTERING THEORY FOR THE AHARONOV–BOHM OPERATORS ⋮ ZERO MODES IN A SYSTEM OF AHARONOV–BOHM FLUXES ⋮ The spectrum of Schrödinger operators with random \(\delta \) magnetic fields ⋮ Diffraction of the Aharonov-Bohm Hamiltonian ⋮ The wave trace and resonances of the magnetic Hamiltonian with singular vector potentials ⋮ PERIODIC AHARONOV–BOHM SOLENOIDS IN A CONSTANT MAGNETIC FIELD ⋮ Quantum motion in superposition of Aharonov–Bohm with some additional electromagnetic fields ⋮ Propagators weakly associated to a family of Hamiltonians and the adiabatic theorem for the Landau Hamiltonian with a time-dependent Aharonov–Bohm flux

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