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The harmonic oscillator and nuclear physicsThe three-dimensional harmonic oscillator plays a central role in nuclear physics. It provides the underlying structure of the independent-particle shell model and gives rise to the dynamical group structures on which models of nuclear collective motion are based. It is shown that the three-dimensional harmonic oscillator features a rich variety of coherent states, including vibrations of the monopole, dipole, and quadrupole types, and rotations of the rigid flow, vortex flow, and irrotational flow types. Nuclear collective states exhibit all of these flows. It is also shown that the coherent state representations, which have their origins in applications to the dynamical groups of the simple harmonic oscillator, can be extended to vector coherent state representations with a much wider range of applicability. As a result, coherent state theory and vector coherent state theory become powerful tools in the application of algebraic methods in physics.
Document ID
19930018165
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Rowe, D. J.
(Toronto Univ. Ontario)
Date Acquired
September 6, 2013
Publication Date
January 1, 1993
Publication Information
Publication: NASA, Goddard Space Flight Center, Workshop on Harmonic Oscillators
Subject Category
Thermodynamics And Statistical Physics
Accession Number
93N27354
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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