QUANTIZATION ON A TORUS WITHOUT POSITION OPERATORS

DOI10.1142/S0217732303012301zbMath1086.81518arXivhep-th/0309091OpenAlexW2096168985MaRDI QIDQ5704685

Shogo Tanimura

Publication date: 15 November 2005

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0309091

zbMATH Keywords

algebraic quantizationtorusrepresentation theory

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Noncommutative geometry in quantum theory (81R60)

Cites Work

• Unnamed Item
• Die Eindeutigkeit der Schrödingerschen Operatoren
• Fundamental algebra for quantum mechanics on S D and gauge potentials
• A remark concerning canonical commutation relations
• Momentum operators with gauge potentials, local quantization of magnetic flux, and representation of canonical commutation relations
• Operator algebra in Chern-Simons theory on a torus
• Magnetic translation groups in an n-dimensional torus and their representations

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