Star quantization on the cylinder

DOI10.1063/1.528968zbMath0734.46043OpenAlexW1992681434MaRDI QIDQ3361415

Carlos Alcalde

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528968

zbMATH Keywords

phase space path integralpath integral and Hilbert space formulationsQuantization of the usual Heisenberg groupStar-product quantization as an autonomous quantum theory

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Path integrals in quantum mechanics (81S40) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Applications of functional analysis in quantum physics (46N50)

Related Items (2)

Moyal quantization on the cylinder ⋮ The star exponential and SU(2) path integrals

Cites Work

• Analytic vectors, anomalies and star representations
• Some ideas about quantization
• Star-polarization: A natural link between phase space representation and operator representation of quantum mechanics
• Deformation theory and quantization. I: Deformations of symplectic structures
• Space-Time Approach to Non-Relativistic Quantum Mechanics

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