Trajectories and causal phase-space approach to relativistic quantum mechanics

Journal Article · Fri May 01 00:00:00 EDT 1987 · Found. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01559700· OSTI ID:6136368

Holland, P R; Kyprianidis, A; Vigier, J P

The authors analyze phase-space approaches to relativistic quantum mechanics from the viewpoint of the causal interpretation. In particular, they discuss the canonical phase space associated with stochastic quantization, its relation to Hilbert space, and the Wigner-Moyal formalism. They then consider the nature of Feynman paths, and the problem of nonlocality, and conclude that a perfectly consistent relativistically covariant interpretation of quantum mechanics which retains the notion of particle trajectory is possible.

• Research Organization: Institut Henri Poincare, Paris, France
• OSTI ID: 6136368
• Journal Information: Found. Phys.; (United States), Vol. 17:5
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM MECHANICS
PARTICLE MODELS
PHASE SPACE
TRAJECTORIES
QUANTIZATION
CAUSALITY
CONTINUITY EQUATIONS
FEYNMAN PATH INTEGRAL
HAMILTONIANS
HILBERT SPACE
JACOBIAN FUNCTION
KLEIN-GORDON EQUATION
PARTICLE INTERACTIONS
PERTURBATION THEORY
RELATIVISTIC RANGE
SCHROEDINGER EQUATION
STATISTICAL MECHANICS
STOCHASTIC PROCESSES
WIGNER THEORY
BANACH SPACE
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
FUNCTIONS
INTEGRALS
INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
SPACE
WAVE EQUATIONS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
657003 - Theoretical & Mathematical Physics- Relativity & Gravitation