Dynamic versus kinematic symmetry breaking in a two-dimensional model of collective motion

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7 Citations (Scopus)

Abstract

Investigates the question of whether or not the vibrational spectrum of a two-dimensional interacting boson model can be transformed into the rotational one via quantum deformation of the group structure. It turns out that although the spectrum of the q-deformed model shows one or another of the rotational-like features at different values of the deformation parameter, nevertheless, all the requirements of the rotational behavior cannot be obtained simultaneously. This result indicates that the quantum algebraic treatment cannot give an analytical solution to the eigenvalue problem of the interacting boson models of nuclear and molecular physics in the whole range of the physically relevant breaking of dynamical symmetries.

Original languageEnglish
Article number001
JournalJournal of Physics A: Mathematical and General
Volume25
Issue number22
DOIs
Publication statusPublished - 1992

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Collective Motion
two dimensional models
Symmetry Breaking
Kinematics
broken symmetry
Bosons
kinematics
Molecular physics
bosons
molecular physics
Nuclear physics
Vibrational spectra
nuclear physics
vibrational spectra
Eigenvalue Problem
Analytical Solution
eigenvalues
Physics
Model
Symmetry

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

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abstract = "Investigates the question of whether or not the vibrational spectrum of a two-dimensional interacting boson model can be transformed into the rotational one via quantum deformation of the group structure. It turns out that although the spectrum of the q-deformed model shows one or another of the rotational-like features at different values of the deformation parameter, nevertheless, all the requirements of the rotational behavior cannot be obtained simultaneously. This result indicates that the quantum algebraic treatment cannot give an analytical solution to the eigenvalue problem of the interacting boson models of nuclear and molecular physics in the whole range of the physically relevant breaking of dynamical symmetries.",
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AB - Investigates the question of whether or not the vibrational spectrum of a two-dimensional interacting boson model can be transformed into the rotational one via quantum deformation of the group structure. It turns out that although the spectrum of the q-deformed model shows one or another of the rotational-like features at different values of the deformation parameter, nevertheless, all the requirements of the rotational behavior cannot be obtained simultaneously. This result indicates that the quantum algebraic treatment cannot give an analytical solution to the eigenvalue problem of the interacting boson models of nuclear and molecular physics in the whole range of the physically relevant breaking of dynamical symmetries.

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