Modular structures on trace class operators and applications to Landau levels

DOI10.1088/1751-8113/43/10/105202zbMath1190.81141arXiv0906.3980OpenAlexW2962689580MaRDI QIDQ3549971

G. Honnouvo, Fabio Bagarello, Syed Twareque Ali

Publication date: 30 March 2010

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

Full work available at URL: https://arxiv.org/abs/0906.3980

zbMATH Keywords

quantum mechanicsharmonic oscillatorGibbs stateHall effectLandau levelsmodular structureKubo-Martin-Schwinger stateTomita-Takesaki modular theoryelectron in a constant electromagnetic fieldvon Neumann algebra of observabes

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10) Applications of selfadjoint operator algebras to physics (46L60) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Coherent states (81R30) Quantum measurement theory, state operations, state preparations (81P15)

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