Aharonov–Bohm quantum systems on a punctured 2-torus

DOI10.1088/0305-4470/39/4/003zbMath1095.81032arXiv0902.0049OpenAlexW2077066411MaRDI QIDQ3373191

Yoshiro Yabu, Toshihiro Iwai

Publication date: 13 March 2006

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

Full work available at URL: https://arxiv.org/abs/0902.0049

zbMATH Keywords

holonomyposition and momentum operatorsWeierstrass zeta functionAharonov-Bohm quantum systempunctured 2-torus

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) 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)

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