文档介绍：Foundations of Physics, Vol. 17, No. 5, 1987
Trajectories and Causal Phase-Space Approach to
Relativistic Quantum Mechanics
P. Ro Holland, 1 A. Kyprianidis, 1 and J. P. Vigier l
Received November 13, 1986
We analyze phase-space approaches to relativistic quantum mechanics from the
viewpoint of the causal interpretation. In particular, we discuss the canonical phase
space associated with stochastic quantization, its relation to Hilbert space, and the
Wigner Moral formalism. We 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
trajectoo" is possible.
1. INTRODUCTION
It now seems to be mon sense that quantum mechanics has
revealed the inadequacy of classical space-time descriptions of
microphenomena, since the quantum formalism and its usual interpretation
apparently prevent a direct transcription of classical trajectories, phase-
space representations, and classical measurements into the quantum frame.
One seems to be inevitably led to this conclusion if one attributes an
ontological status to the abstract quantum formalism or if one attempts to
consistently apply the classical concepts of space-time coordination of
events and the deterministic predictability of a system. For the majority of
scientists, this has led to an explicit or implicit belief that the novelties of
quantum mechanics can be understood only on the basis of a new indeter-
ministic ontology, by abandoning the space-time description and
associated causality concepts whenever entering into the microworld. This
majority belief has led to the victory of the Copenhagen Interpretation of
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0015-9018/87/0500-0531505 00/0 @ 1987 Plenum Publislling Corporatio