Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:0911.2451

Coherent states in the presence of a variable magnetic field

Marius Măntoiu, Radu Purice, Serge Richard

Published Nov 12, 2009• 1 citation
arXivHTMLPDF

Abstract

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.
DOI
10.48550/arxiv.0911.2451

Related papers

COHERENT STATES AND PURE STATE QUANTIZATION IN THE PRESENCE OF A VARIABLE MAGNETIC FIELD

Marius Măntoiu, Radu Purice, Serge Richard

We introduce magnetic coherent states for a particle in a variable magnetic field. They provide a pure state quantization of the phase space ℝ2Nendowed with a magnetic symplectic form.

arXiv:1009.2273•International Journal of Geometric Methods in Modern Physics•Feb 1, 2011•2 citations

Positive quantization in the presence of a variable magnetic field

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.

Journal of Mathematical Physics•Nov 1, 2011•0 citations

Generalized Coherent States for Charged Particle in Uniform and Variable Magnetic Field

Mohammad Reza Setare, A. Fallahpour

Acta Physica Polonica B•Feb 1, 2009•3 citations

Coherent States and Green's Function of a Charged Particle in Variable Electric and Magnetic Fields

I.A. Malkin, Vladimir I. Man’ko

Journal of Experimental and Theoretical Physics•Jan 1, 1971•2 citations

Evolution of Coherent States of a Charged Particle in a Variable Magnetic Field

I.A. Malkin, Vladimir I. Man’ko, D. A. Trifonov

Journal of Experimental and Theoretical Physics•Jan 1, 1970•2 citations

Coherent states in the presence of a variable magnetic field

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.

•Jan 1, 2009•0 citations