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Quantum Mechanical Motion of Relativistic Particle in Non-Continuous Spacetime

A. Kull

quant-pharXiv:quant-ph/0212053

Abstract

The quantum mechanical motion of a relativistic particle in a non-continuous spacetime is investigated. The spacetime model is a dense, rationale subset of two-dimensional Minkowski spacetime. Solutions of the Dirac equation are calculated using a generalized version of Feynman's checkerboard model. They turn out to be closely related to the continuum propagator.

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