Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

Equivalence Classes of Minimum Uncertainty Packets

David Stoler

Published Jun 15, 1970• 771 citations

Abstract

We show that all the minimum uncertainty packets are unitarily equivalent to the coherent states and that coherence is in fact stationary minimality.Received 8 December 1969DOI:https://doi.org/10.1103/PhysRevD.1.3217©1970 American Physical Society

DOI: 10.1103/physrevd.1.3217

Related papers

Equivalence Classes of Minimum-Uncertainty Packets. II

David Stoler

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.

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsSep 15, 1971283 citations

Coherent Superposition of Charge States

Ronald Mirman

Some Gedankenexperimente are considered to illustrate the analogy between coherent superposition of angular momentum states and coherent superposition of charge states.Received 2 December 1969DOI:https://doi.org/10.1103/PhysRev.186.1380©1969 American Physical Society

Physical ReviewOct 25, 196923 citations

Comment on new coherent states with applications to time-dependent systems

M. Schubert, W. Vogel

It is shown that the "new class of coherent states" defined by Rajagopal and Marshall is equivalent to the well-known two-photon coherent states.Received 2 February 1983DOI:https://doi.org/10.1103/PhysRevA.28.3668©1983 American Physical Society

Physical Review ADec 1, 19831 citation

States, Minimizing the Uncertainty Product of the Oscillator Phase Operators

Evangelos K. Ifantis

The normalizable states that minimize the uncertainty product of the oscillator phase operators are determined and some of their physical properties are discussed. A physical classification of these states has been made and the class of ``analogous'' states to the well-known coherent states is physically defined.

Journal of Mathematical PhysicsApr 1, 197211 citations

Comment on ‘‘Coherent states for the time-dependent harmonic oscillator’’

I. A. Pedrosa

It is shown that the exact coherent states for the time-dependent harmonic oscillator constructed by Hartley and Ray are equivalent to the well-known squeezed states.Received 8 January 1987DOI:https://doi.org/10.1103/PhysRevD.36.1279©1987 American Physical Society

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsAug 15, 198780 citations

Generalized Coherent States

David Stoler

Using an operator technique similar to one we have used in a previous paper, we study the generalized coherent states which were introduced by Titulaer and Glauber and discussed recently by Bialynicka-Birula. Using this technique, we provide an alternative derivation of the most general coherent state and then derive a number of interesting properties, some of which do not seem to be in the literature. For example, we show that the generalized coherent states are not minimum-uncertainty packets.

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsOct 15, 1971188 citations