Coherent Distributions and Quantization

Abstract

This work presents a selective review of results concerning the mathematical interface between the classical and quantum aspects encountered in problems such as the nuclear mean-field dynamics or quantum Brownian motion. It is shown that the main difference between classical and quantum behavior arises from the coherence properties of the phase-space distributions known as "action waves" and Wigner functions. The quantum wave functions appear as elementary degrees of freedom for the phase space granularity.

Based on the research proposal 338620ERC-2013-ADG; replaced to add Eq. (59)

References in corpus (5)

• Interacting classical and quantum ensembles
• Classical probability waves
• Cosmic Background Radiation Mini-Review
• Constrained evolution in Hilbert space and requantization
• Electromagnetic 2-forms on space-time

Cited by in corpus (2)

• Coherent distributions for the rigid rotator
• Quantum Distributions for the Electromagnetic Field