SOME ASPECTS OF OPERATOR ALGEBRAS IN QUANTUM PHYSICS

DOI10.1142/9789814730884_0001zbMath1394.81041arXiv1612.07718OpenAlexW3105344892MaRDI QIDQ5350203

Andrés F. Reyes-Lega

Publication date: 28 August 2017

Published in: Geometric, Algebraic and Topological Methods for Quantum Field Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07718

zbMATH Keywords

probabilityperiodic boundary conditionsoperator algebrasentanglementopen boundary conditionsquantum physicsquantum phase transitionsobservable algebrasEPR-paradoxidentical particlesBell's inequalityGelfand-Naimark theoremlecture notesIsing chain: quantum criticality

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Applications of selfadjoint operator algebras to physics (46L60) Many-body theory; quantum Hall effect (81V70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum measurement theory, state operations, state preparations (81P15) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantum coherence, entanglement, quantum correlations (81P40)

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