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Quantum Mechanical Systems with Indefinite Metric. I

E. C. G. Sudarshan

  • Department of Physics and Astronomy, University of Rochester, Rochester, New York

Phys. Rev. 123, 2183 – Published 15 September, 1961

DOI: https://doi.org/10.1103/PhysRev.123.2183

Abstract

The structure of quantum theories with indefinite metric is studied with the aid of several simple models. It is shown that the pseudo-unitary scattering matrices entering such a theory are not inconsistent with physical interpretation provided a suitable invariant projection of physical state is carried out from among all the states. A relativistic quantum theory of interacting fields is outlined and is suggested as a basis for a dynamical theory of elementary particles. It is argued that the formal introduction of an indefinite metric together with supplementary interpretive postulates may help to reinstate the principle of simplicity in a consistent theory of elementary particles.

See Also

Quantum Mechanical Systems with Indefinite Metric. II

Howard J. Schnitzer and E. C. G. Sudarshan
Phys. Rev. 123, 2193 (1961)

References (18)

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  16. Omitted endnote

  17. V. GlaserProceedings of the 1960 Annual Conference on High-Energy Physics at Rochester (Interscience Publishers, New York, 1960), Session P3
  18. G. F. Chew, Lawrence Radiation Laboratory Report UCRL-9289 (unpublished)

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