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Equivalence Classes of Minimum-Uncertainty Packets. II

David Stoler

  • Department of Physics, Polytechnic Institute of Brooklyn, Brooklyn, New York 11201

Phys. Rev. D 4, 1925 – Published 15 September, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.1925

Abstract

In a previous paper we have shown that all minimum-uncertainty packets are unitarily equivalent to the coherent states and that coherence may be viewed as stationary minimality. In this note we give some additional information relating to the nature of the unitary-equivalence structure. We also give a new calculation of some matrix elements of the operator that implements the unitary equivalence which is not subject to the shortcoming inherent in the original calculation.

Original Article

Equivalence Classes of Minimum Uncertainty Packets

David Stoler
Phys. Rev. D 1, 3217 (1970)

References (5)

  1. D. Stoler, Phys. Rev. D 1, 3217 (1970)
  2. R. Haag, in Lectures in Theoretical Physics, edited by W. E. Brittin and A. O. Barut (Univ. of Colorado Press, Boulder, Colo., 1960), Vol. XX
  3. E. Schrödinger, Naturwiss. 14, 664 (1926)
  4. E. H. Kennard, Z. Physik 44, 326 (1927) P. Bertrand, P. I. B. thesis, 1969 (unpublished) J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton Univ. Press, Princeton, 1955)
  5. R.Jackiw, J. Math. Phys. 9, 339 (1968)

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