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Causality and Peierls Bracket in Classical Mechanics

2010/02/16 by Pankaj Sharan, Sharan, Pankaj
Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #Quantum many-body systems

paper · pdf · doi:10.48550/arxiv.1002.3092

openalex publication_date 2010/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Relation between the Peierls and the Poisson bracket is derived in classical mechanics of time-dependent systems. Equal-time Peierls brackets are seen to be the same as the Poisson brackets in simple cases but a proof for a general Hamiltonian is lacking.

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