Hyperplane dependence in relativistic quantum mechanics

Foundations of Physics 19 (3):231-267 (1989)
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Abstract

Through the explicit introduction of hyperplane dependence as a form of relativistic dynamical evolution, we construct a manifestly covariant description of a single positive energy particle interacting with any one of a large class of “moving” external potentials. In1+1 dimensions, the simplified mathematics allows us to display a number of general properties of solutions to the equations of motion for evolution on hyperplanes

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Gordon N. Fleming
Pennsylvania State University

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