Positive Quantization in the Presence of a Variable Magnetic Field

Details Positive Quantization in the Presence of a Variable Magnetic Field Positive Quantization in the Presence of a Variable Magnetic Field

2010-09-12

arxiv.org/abs/1009.2273v1

Physics

Mathematical Physics

15 pages

Scientific paper

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.

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