Classical mechanics in Hilbert space. I

DOI10.1007/S10773-011-0797-8zbMath1266.70030OpenAlexW2917218497MaRDI QIDQ429955

Ray Curran, Franklin E. jun. Schroeck, Roberto Beneduci, James A. Brooke

Publication date: 20 June 2012

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-011-0797-8

zbMATH Keywords

symplectic spacesHilbert spacesclassical mechanicsLie groups and Lie algebras

Mathematics Subject Classification ID

Hamilton's equations (70H05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (6)

Positive operator valued measures and Feller Markov kernels ⋮ Fuzzy observables: from weak Markov kernels to Markov kernels ⋮ The many problems with quantum mechanics from the earliest days on and how the theory of quantum mechanics on phase space addresses them ⋮ Uniform continuity of POVMs ⋮ Universal randomization of quantum observables ⋮ Space localization of the photon

Cites Work

• 'Canonical' representations of the inhomogeneous Lorentz group
• Hamiltonian Systems and Transformation in Hilbert Space
• On the principles of elementary quantum mechanics
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