Galilean-Covariant Clifford Algebras in the Phase-Space Representation

Foundations of Physics 35 (1):109-129 (2005)

Authors
Albert Santana
California State University, Fullerton
Abstract
We apply the Galilean covariant formulation of quantum dynamics to derive the phase-space representation of the Pauli–Schrödinger equation for the density matrix of spin-1/2 particles in the presence of an electromagnetic field. The Liouville operator for the particle with spin follows from using the Wigner–Moyal transformation and a suitable Clifford algebra constructed on the phase space of a (4 + 1)-dimensional space–time with Galilean geometry. Connections with the algebraic formalism of thermofield dynamics are also investigated
Keywords Galilei group  Clifford algebras  phase space
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DOI 10.1007/s10701-004-1926-5
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On a Quantum Algebraic Approach to a Generalized Phase Space.D. Bohm & B. J. Hiley - 1981 - Foundations of Physics 11 (3-4):179-203.

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