Path integrals in parametrized theories: The free relativistic particle

Details Path integrals in parametrized theories: The free relativistic particle Path integrals in parametrized theories: The free relativistic particle

Oct 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..34.2323h&link_type=abstract

Physical Review D (Particles and Fields), Volume 34, Issue 8, 15 October 1986, pp.2323-2331

Physics

39

Functional Analytical Methods

Scientific paper

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.

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