Lifshits tails for random smooth magnetic vortices

DOI10.1063/1.1807955zbMath1064.82018OpenAlexW2049032336MaRDI QIDQ3024131

James L. Borg, Joseph V. Pulé

Publication date: 30 June 2005

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

Full work available at URL: https://doi.org/10.1063/1.1807955

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items

Schrödinger operators with random \(\delta \) magnetic fields ⋮ The spectrum of Schrödinger operators with random \(\delta \) magnetic fields

Cites Work

• Behavior of some Wiener integrals as \(t\to\infty\) and the density of states of Schrödinger equations with random potential
• Density of states of random Schrödinger operators with a uniform magnetic field
• Lifschitz tail in a magnetic field: The nonclassical regime
• Hall conductivity for two-dimensional magnetic systems
• On the Aharonov-Bohm Hamiltonian
• The fate of Lifshits tails in magnetic fields.
• Poissonian obstacles with Gaussian walls discriminate between classical and quantum Lifshits tailing in magnetic fields
• Significance of Electromagnetic Potentials in the Quantum Theory
• Aharonov–Bohm effect with δ-type interaction
• Pauli approximations to the self-adjoint extensions of the Aharonov–Bohm Hamiltonian
• Lifshitz tail for Schrödinger operator with random magnetic field