Galilean-covariant Clifford algebras in the phase-space representation

DOI10.1007/s10701-004-1926-5zbMath1086.81060OpenAlexW2027053187MaRDI QIDQ816112

J. David M. Vianna, Ademir E. Santana, Marco C. B. Fernandes

Publication date: 20 February 2006

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10701-004-1926-5

zbMATH Keywords

phase spaceClifford algebrasGalilei group

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Kaluza-Klein and other higher-dimensional theories (83E15) Clifford algebras, spinors (15A66)

Related Items (7)

Quark-antiquark effective potential in symplectic quantum mechanics ⋮ An approach by representation of algebras for decoherence-free subspaces ⋮ Zeeman effect in phase space ⋮ Algebraic criteria for entanglement in multipartite systems ⋮ SOLUTIONS FOR THE LANDAU PROBLEM USING SYMPLECTIC REPRESENTATIONS OF THE GALILEI GROUP ⋮ Analytical solution for the Gross-Pitaevskii equation in phase space and Wigner function ⋮ QUANTUM INFORMATION, THERMOFIELD DYNAMICS AND THERMALIZED BOSONIC OSCILLATOR

Cites Work

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• On the Quantum Correction For Thermodynamic Equilibrium
• Poincaré-Lie algebra and relativistic phase space
• Galilean covariance and the Duffin-Kemmer-Petiau equation

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