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Classical and Quantum Phase Space Mechanics
Author(s): Thébault (Author)
- Publisher: Cambridge University Press
- Publication Date: February 19, 2026
- Language: English
- Print length: 96 pages
- ISBN-10: 1009352032
- ISBN-13: 9781009352031
Book Description
This Element explores the formal and conceptual foundations of phase space formulations of classical and quantum mechanics. It provides an overview of the core mathematical and physical content of Hamiltonian mechanics, stochastic phase space mechanics, contact Hamiltonian mechanics, and open and closed quantum mechanics on phase space. The formal material is unified via three interpretative themes relating to structured possibility spaces, Liouville’s theorem and its failure, and the classical and quantum notions of open and closed systems. This Element book is intended for researchers and graduate students in the philosophy and foundations of physics with an interest in the conceptual foundations of physical theory.
Editorial Reviews
Book Description
Phase spaces in mechanical theory are structured possibility spaces, Liouville’s theorem constrains their representational capacity.