Localization for Schrodinger operators with random vector potentials

zbMath1137.81012arXiv0708.1774MaRDI QIDQ5301275

David Hislop, Frédéric Klopp, Fatma Ghribi

Publication date: 29 April 2008

Full work available at URL: https://arxiv.org/abs/0708.1774

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (14)

Internal Lifshits tails for random magnetic Schrödinger operators ⋮ Quantum Hamiltonians with weak random abstract perturbation. I: Initial length scale estimate ⋮ Stochastic analysis and random Schrödinger operators ⋮ Anderson localization at band edges for random magnetic fields ⋮ Asymptotic ergodicity of the eigenvalues of random operators in the localized phase ⋮ Singular Integrals, Rank One Perturbations and Clark Model in General Situation ⋮ Quantization of edge currents along magnetic barriers and magnetic guides ⋮ Low lying eigenvalues of randomly curved quantum waveguides ⋮ Wegner estimate and Anderson localization for random magnetic fields ⋮ Localization for gapped Dirac Hamiltonians with random perturbations: application to graphene antidot lattices ⋮ Schrödinger operators with random \(\delta \) magnetic fields ⋮ Wegner estimate for random magnetic Laplacian on \(\mathbb Z^2\) ⋮ Wegner estimate for Gaussian random magnetic fields ⋮ Localization on quantum graphs with random edge lengths

This page was built for publication: Localization for Schrodinger operators with random vector potentials