Propagators weakly associated to a family of Hamiltonians and the adiabatic theorem for the Landau Hamiltonian with a time-dependent Aharonov–Bohm flux

DOI10.1063/1.1895865zbMath1110.81074arXivmath-ph/0502030OpenAlexW1989734405MaRDI QIDQ3438416

I. Hradecký, Joachim Asch, Pavel Šťovíček

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0502030

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Many-body theory; quantum Hall effect (81V70) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items (3)

A charged particle in a homogeneous magnetic field accelerated by a time-periodic Aharonov-Bohm flux ⋮ Dynamics of a classical Hall system driven by a time-dependent Aharonov-Bohm flux ⋮ On the dynamics created by a time-dependent Aharonov-Bohm flux

Cites Work

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• Adiabatic theorems and applications to the quantum Hall effect
• Adiabatic theorem without a gap condition
• Charge deficiency, charge transport and comparison of dimensions
• Stationary scattering theory for time-dependent Hamiltonians
• The noncommutative geometry of the quantum Hall effect
• Generalized boundary conditions for the Aharonov–Bohm effect combined with a homogeneous magnetic field

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