Foundations of Physics 8 (11-12):851-877 (1978)
AbstractA relativistic one-particle, quantum theory for spin-zero particles is constructed uponL 2(x, ct), resulting in a positive definite spacetime probability density. A generalized Schrödinger equation having a Hermitian HamiltonianH onL 2(x, ct) for an arbitrary four-vector potential is derived. In this formalism the rest mass is an observable and a scalar particle is described by a wave packet that is a superposition of mass states. The requirements of macroscopic causality are shown to be satisfied by the most probable trajectory of a free tardyon and a nontrivial framework for charged and neutral particles is provided. The Klein paradox is resolved and a link to the free particle field operators of quantum field theory is established. A charged particle interacting with a static magnetic field is discussed as an example of the formalism
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References found in this work
Quantum Theory: A Hilbert Space Formalism for Probability Theory.R. Eugene Collins - 1977 - Foundations of Physics 7 (7-8):475-494.
Citations of this work
On the Energy-Time Uncertainty Relation. Part I: Dynamical Time and Time Indeterminacy. [REVIEW]Paul Busch - 1990 - Foundations of Physics 20 (1):1-32.
Review of Invariant Time Formulations of Relativistic Quantum Theories. [REVIEW]J. R. Fanchi - 1993 - Foundations of Physics 23 (3):487-548.
On the Interpretation of the Relativistic Quantum Mechanics with Invariant Evolution Parameter.Matej Pavšič - 1991 - Foundations of Physics 21 (9):1005-1019.
Resolution of the Klein Paradox for Spin-1/2 Particles.John R. Fanchi - 1981 - Foundations of Physics 11 (5-6):493-498.
Relativistic Many-Body Systems: Evolution-Parameter Formalism. [REVIEW]John R. Fanchi & Weldon J. Wilson - 1983 - Foundations of Physics 13 (6):571-605.
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