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Covariant harmonic oscillators and coupled harmonic oscillatorsIt is shown that the system of two coupled harmonic oscillators shares the basic symmetry properties with the covariant harmonic oscillator formalism which provides a concise description of the basic features of relativistic hadronic features observed in high-energy laboratories. It is shown also that the coupled oscillator system has the SL(4,r) symmetry in classical mechanics, while the present formulation of quantum mechanics can accommodate only the Sp(4,r) portion of the SL(4,r) symmetry. The possible role of the SL(4,r) symmetry in quantum mechanics is discussed.
Document ID
19950016575
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Han, Daesoo (NASA Goddard Space Flight Center Greenbelt, MD, United States)
Kim, Young S. (Maryland Univ. College Park, MD., United States)
Noz, Marilyn E. (New York Univ. New York, NY., United States)
Date Acquired
September 6, 2013
Publication Date
January 1, 1995
Publication Information
Publication: Second International Workshop on Harmonic Oscillators
Subject Category
Thermodynamics And Statistical Physics
Accession Number
95N22992
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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