Coherent state quantization of angle, time, and more irregular functions and distributions

2008/05/13 by Biswajit Chakraborty, Chakraborty, Biswajit, Jean‐Pierre Gazeau +3
Computer Science · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.0805.1847

openalex publication_date 2008/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The domain of application of quantization methods is traditionally restricted to smooth classical observables. We show that the coherent states or "anti-Wick" quantization enables us to construct fairly reasonable quantum versions of irregular observables living on the classical phase space, such as the angle function, the time function of a free particle and even a large set of distributions comprising the tempered distributions.

Citations

• QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS
• The Quantum Theory of Optical Coherence

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