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Phys. Rev. D 34, 2323–2331 (1986)

Path integrals in parametrized theories: The free relativistic particle

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James B. Hartle
Department of Physics, University of California, Santa Barbara, California 93106

Karel V. Kucha
Department of Physics, University of Utah, Salt Lake City, Utah 84112

Received 7 July 1986; published in the issue dated 15 October 1986

The connection between the canonical and the path-integral formulations of the quantum mechanics of a free relativistic particle is discussed as a model of theories in which time is one of the dynamical variables (parametrized theories). Several features central to the canonical formulation, such as the choice of Hilbert space, are reflected in the measure of the sum over paths and especially in the range of integration.

© 1986 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.34.2323
DOI:
10.1103/PhysRevD.34.2323
PACS:
03.65.Db, 04.60.+n