Quantum Mechanical Motion of Relativistic Particle in Non-Continuous Spacetime

Details Quantum Mechanical Motion of Relativistic Particle in Non-Continuous Spacetime Quantum Mechanical Motion of Relativistic Particle in Non-Continuous Spacetime

2002-12-09

arxiv.org/abs/quant-ph/0212053v1

Physics Letters A 303 (2002) 147-153

Physics

Quantum Physics

14 pages, 1 figure

Scientific paper

10.1016/S0375-9601(02)01238-0

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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