The Liouville equation for singular ergodic magnetic Schrödinger operators

DOI10.1063/1.3352562zbMath1309.81354arXiv0811.3960OpenAlexW2011572545MaRDI QIDQ5246590

Yang Kang, Abel Klein

Publication date: 21 April 2015

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

Full work available at URL: https://arxiv.org/abs/0811.3960

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) Many-body theory; quantum Hall effect (81V70) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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• Self-adjoint operators
• New characterizations of the region of complete localization for random Schrödinger operators
• Linear response theory for magnetic Schrödinger operators in disordered media
• Operator kernel estimates for functions of generalized Schrödinger operators
• Sur les opérateurs de Green des problèmes de Cauchy abstraits
• Schrödinger operators with singular magnetic vector potentials

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