Positive Quantization in the Presence of a Variable Magnetic Field
arXiv:1009.2273 · doi:10.1142/S0219887811005087
Abstract
Starting with a previously constructed family of coherent states, we introduce the Berezin quantization for a particle in a variable magnetic field and we show that it constitutes a strict quantization of a natural Poisson algebra. The phase-space reinterpretation involves a magnetic version of the Bargmann space and leads naturally to Berezin-Toeplitz operators.
15 pages
References in corpus (8)
- The Magnetic Weyl Calculus
- Magnetic Pseudodifferential Operators
- Commutator Criteria for Magnetic Pseudodifferential Operators
- Quantum Magnetic Algebra and Magnetic Curvature
- Coherent states of a charged particle in a uniform magnetic field
- Magnetic pseudodifferential operators with coefficients in C*-algebras
- Twisted Crossed Products and Magnetic Pseudodifferential Operators
- Coherent states in the presence of a variable magnetic field