Quantum mechanical composition laws in reparameterization invariant systems
J.J.Halliwell, M.E.Ortiz

TL;DR
This paper derives a composition law for the propagator of a relativistic particle using sum over histories quantization and discusses extending this to quantum cosmology, providing insights into reparameterization invariant systems.
Contribution
It introduces a derivation of a composition law for propagators in reparameterization invariant systems and explores its application to quantum cosmology.
Findings
Derived a composition law for relativistic particle propagator
Extended the derivation to quantum cosmology context
Provides a framework for sum over histories quantization in invariant systems
Abstract
This paper gives a brief description of the derivation of a composition law for the propagator of a relativistic particle, in a sum over histories quantization. The extension of this derivation to the problem of finding a composition law for quantum cosmology is also discussed. (For the proceedings of Journees Relativistes 93)
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