aqora

Classical dynamics, arrow of time, and genesis of the Heisenberg commutation relations

Detlev Buchholz A, Klaus Fredenhagen

arXiv:1905.02711Expositiones MathematicaeJun 1, 20207 citations

Commutation relations and quantum mechanics

G. N. Brodimas, A. D. Jannussis, D. Sourlas +1 more

Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimentoApr 1, 198133 citations

Classical chaotic trajectories in quantum field theory

Trajectories in the space of the unitarily inequivalent representations of the canonical commutation relations are shown to be classical trajectories. Under convenient conditions, they may exhibit properties typical of chaotic behavior in classical nonlinear dynamics. Quantum noise in fluctuating random force in the system–environment coupling and system–environment entanglement is also discussed.

Jan 1, 20030 citations

CLASSICAL CHAOTIC TRAJECTORIES IN QUANTUM FIELD THEORY

Giuseppe Vitiello

Trajectories in the space of the unitarily inequivalent representations of the canonical commutation relations are shown to be classical trajectories. Under convenient conditions, they may exhibit properties typical of chaotic behavior in classical nonlinear dynamics. Quantum noise in fluctuating random force in the system–environment coupling and system–environment entanglement is also discussed.

arXiv:hep-th/0309197International Journal of Modern Physics BFeb 20, 200444 citations

From Equations of Motion to Canonical Commutation Relations: Classical and Quantum Systems

Vladimir I. Man’ko, Giuseppe Marmo, F. Zaccaria

Springer eBooksJan 1, 19984 citations

The Quantum Mechanical Equations of Motion and the Commutation Relations

Vachaspati

Proceedings of the Physical Society Section AJul 1, 19530 citations

From Classical Trajectories to Quantum Commutation Relations

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