Statistical Basis for Quantum Theory: The Embedding Formalism

R. E. Collins

doi:10.1103/PhysRevD.2.666

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Statistical Basis for Quantum Theory: The Embedding Formalism

R. E. Collins

The Department of Physics, The University of Houston, Houston, Texas 77004

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Phys. Rev. D 2, 666 – Published 15 August, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.666

Abstract

The formulation of quantum theory on the basis of the statistical definition of a duplicated experiment, as initiated in a recent paper, is used to reexamine the embedding formalism introduced in earlier papers. It is shown that the familiar relations between momentum and coordinate representations are given a statistical basis by the embedding theory. It is also shown that a complete quantum theory includes three fundamental sets of operators and that one of these seems to represent an operator formalism for thermodynamics.

References (6)

R. E. Collins, Phys. Rev. D 1, 379 (1970)
R. E. Collins, Phys. Rev. 183, 1081 (1969)
R. E. Collins, Phys. Rev. D 2, 658 (1970)
Omitted endnote
Jacob Korevaar, Mathematical Methods (Academic, New York, 1968), pp. 373 ff
K. Gottfried, Quantum Mechanics (Benjamin, New York, 1966), Vol. I, pp. 178 ff

[c1] R. E. Collins, Phys. Rev. D 1, 379 (1970)

[c2] R. E. Collins, Phys. Rev. 183, 1081 (1969)

[c3] R. E. Collins, Phys. Rev. D 2, 658 (1970)

[c4] Omitted endnote

[c5] Jacob Korevaar, Mathematical Methods (Academic, New York, 1968), pp. 373 ff

[c6] K. Gottfried, Quantum Mechanics (Benjamin, New York, 1966), Vol. I, pp. 178 ff

Physical Review D

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Statistical Basis for Quantum Theory: The Embedding Formalism

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