On the geometry of quantum indistinguishability

DOI10.1088/1751-8113/44/32/325308zbMath1235.81089arXiv1112.6300OpenAlexW3098229182MaRDI QIDQ3091897

Andrés F. Reyes-Lega

Publication date: 14 September 2011

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

Full work available at URL: https://arxiv.org/abs/1112.6300

zbMATH Keywords

quantizationquantum mechanicsspin-statistics theoremfinite fundamental groupBerry-RobbinsGelfand-Naimarkgeometric indistinguishabilitySerre-Swan

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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