Quantization in a Magnetic Field

Subhash N. Karbelkar

Lloyd Motz

Прохоров Лев Васильевич

Marius Măntoiu, Radu Purice, Serge Richard

Key Words: Coherent state, quantization, magnetic field, magnetic pseudodifferential operators. We introduce magnetic coherent states for a particle in a variable magnetic field. They provide a pure state quantization of the phase space R 2N endowed with a magnetic symplectic form.

Galina A. Nemova

Marius Măntoiu, Radu Purice, Serge Richard

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.