Positive quantization in the presence of a variable magnetic field | Zendy

Marius Măntoiu | Zendy; Radu Purice | Zendy; Serge Richard | Zendy

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Positive quantization in the presence of a variable magnetic field

Author(s) -

Marius Măntoiu,

Radu Purice,

Serge Richard

Publication year - 2011

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.3656253

Subject(s) - quantization (signal processing) , toeplitz matrix , reinterpretation , phase space , mathematics , magnetic field , second quantization , mathematical physics , canonical quantization , algebra over a field , geometric quantization , pure mathematics , physics , theoretical physics , quantum mechanics , creation and annihilation operators , quantum , quantum gravity , algorithm , acoustics

International audienceStarting 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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