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Positive Quantization in the Presence of a Variable Magnetic Field

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.

preprint2010arXivOpen access
M. MantoiuR. PuriceS. Richard
math-phmath.MP
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M. MantoiuR. PuriceS. Richard

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