Quantum Riemann surfaces. II: The discrete series

DOI10.1007/BF00402676zbMath0777.46039OpenAlexW2091604971MaRDI QIDQ1194365

Andrzej Lesniewski, Sławomir Klimek-Chudy

Publication date: 27 September 1992

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00402676

zbMATH Keywords

Planck constantcompact Riemann surface of genusdirect integrals of finite-dimensional \(C^*\)-algebras

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of selfadjoint operator algebras to physics (46L60) Geometry and quantization, symplectic methods (81S10) Applications of functional analysis in quantum physics (46N50)

Related Items (11)

Quantum Riemann surfaces for arbitrary Planck’s constant ⋮ Quantum Riemann surfaces. III: The exceptional cases ⋮ QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS ⋮ Coherent states in geometric quantization ⋮ Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results ⋮ Low dimensional matrix representations for noncommutative surfaces of arbitrary genus ⋮ Matrix regularization of embedded 4-manifolds ⋮ Berezin Quantization and Reproducing Kernels on Complex Domains ⋮ Super Toeplitz operators and non-perturbative deformation quantization of supermanifolds ⋮ The deformation quantizations of the hyperbolic plane ⋮ Quantization of multiply connected manifolds

Cites Work

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• Geometric quantization and quantum mechanics
• Quantum Riemann surfaces. I: The unit disc
• Zur analytischen Theorie der Grenzkreisgruppen. III. Divisorentheorie und automorphe Primformen; Summandensysteme; arithmetisch ausgezeichnete Multiplikatorsysteme
• Über eine Metrisierung der automorphen Formen und die Theorie der Poincaréschen Reihen

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