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  • 1
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    Linear canonical transformations of coherent and squeezed states in the Wigner phase space. III - Two-mode states (1990)
    In:  Other Sources
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    Publication Date: 2011-08-19
    Description: It is shown that the basic symmetry of two-mode squeezed states is governed by the group SP(4) in the Wigner phase space which is locally isomorphic to the (3 + 2)-dimensional Lorentz group. This symmetry, in the Schroedinger picture, appears as Dirac's two-oscillator representation of O(3,2). It is shown that the SU(2) and SU(1,1) interferometers exhibit the symmetry of this higher-dimensional Lorentz group. The mathematics of two-mode squeezed states is shown to be applicable to other branches of physics including thermally excited states in statistical mechanics and relativistic extended hadrons in the quark model.
    Keywords: PHYSICS (GENERAL)
    Type: Physical Review A - Atomic, Molecular, and Optical Physics, 3rd Series (ISSN 0556-2791); 41; 6233-624
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  • 2
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    Uncertainty relations for light waves and the concept of photons (1987)
    In:  Other Sources
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    Publication Date: 2011-08-19
    Description: A Lorentz-covariant localization for light waves is presented. The unitary representation for the electromagnetic four-potential is constructed for a monochromatic light wave. A model for covariant superposition is constructed for light waves with different frequencies. It is therefore possible to construct a wave function for light waves carrying a covariant probability interpretation. It is shown that the time-energy uncertainty relation (Delta-t)(Delta-omega) = about 1 for light waves is a Lorentz-invariant relation. The connection between photons and localized light waves is examined critically.
    Keywords: PHYSICS (GENERAL)
    Type: Physical Review A - General Physics, 3rd Series (ISSN 0556-2791); 35; 1682-169
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  • 3
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    Special relativity and interferometers (1988)
    In:  Other Sources
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    Publication Date: 2011-08-19
    Description: A new generation of gravitational wave detectors is expected to be based on interferometers. Yurke et al. (1986) introduced a class of interferometers characterized by SU(1,1) which can in principle achieve a phase sensitivity approaching 1/N, where N is thte total number of photons entering the interferometer. It is shown here that the SU(1,1) interferometer can serve as an analog computer for Wigner's little group of the Poincare\'| group.
    Keywords: PHYSICS (GENERAL)
    Type: Physical Review A - General Physics, 3rd Series (ISSN 0556-2791); 37; 4494-449
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  • 4
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    Thomas precession, Wigner rotations and gauge transformations (1987)
    In:  Other Sources
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    Publication Date: 2011-08-19
    Description: The exact Lorentz kinematics of the Thomas precession is discussed in terms of Wigner's O(3)-like little group which describes rotations in the Lorentz frame in which the particle is at rest. A Lorentz-covariant form for the Thomas factor is derived. It is shown that this factor is a Lorentz-boosted rotation matrix, which becomes a gauge transformation in the infinite-momentum or zero-mass limit.
    Keywords: PHYSICS (GENERAL)
    Type: Classical and Quantum Gravity (ISSN 0264-9381); 4; 1777-178
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