Friederich, Simon (2025) Sharp values for all dynamical variables via Anti-Wick quantization. Physics Letters A, 567. p. 131226.

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Abstract

This paper proposes an approach to interpreting quantum expectation values that may help address the quantum measurement problem. Quantum expectation values are usually calculated via Hilbert space inner products and, thereby, differently from expectation values in classical mechanics, which are weighted phase-space integrals. It is shown that, by using Anti-Wick quantization to associate dynamical variables with self-adjoint linear operators, quantum expectation values can be interpreted as genuine weighted averages over phase space, paralleling their classical counterparts. This interpretation arises naturally in the Segal-Bargmann space, where creation and annihilation operators act as simple multiplication and differentiation operators. In this setting, the Husimi Q-function – the coherent-state representation of the quantum state – can be seen as a true probability density in phase space. Unlike Bohmian mechanics, the present approach retains the standard correspondence between dynamical variables and self-adjoint operators while paving the way for a classical-like probabilistic interpretation of quantum statistics.

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Item Type:	Published Article or Volume
Creators:	Creators Email ORCID Friederich, Simon s.m.friederich@rug.nl 0000-0003-4372-5995
Keywords:	Measurement problem; Quantization; Segal-Bargmann space; Coherent states
Subjects:	Specific Sciences > Physics Specific Sciences > Physics > Quantum Field Theory Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Dr. Simon Friederich
Date Deposited:	09 Dec 2025 13:32
Last Modified:	09 Dec 2025 13:32
Item ID:	27406
Journal or Publication Title:	Physics Letters A
Publisher:	Elsevier
Official URL:	https://www.sciencedirect.com/science/article/pii/...
DOI or Unique Handle:	10.1016/j.physleta.2025.131226
Subjects:	Specific Sciences > Physics Specific Sciences > Physics > Quantum Field Theory Specific Sciences > Physics > Quantum Mechanics
Date:	8 December 2025
Page Range:	p. 131226
Volume:	567
URI:	https://philsci-archive.pitt.edu/id/eprint/27406

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