An application of the 3-dimensional q-deformed harmonic oscillator to the nuclear shell model

Abstract

An analysis of the construction of a q-deformed version of the 3-dimensional harmonic oscillator, which is based on the application of q-deformed algebras, is presented. The results together with their applicability to the shell model are compared with the predictions of the modified harmonic oscillator.

12 pages, LaTeX

References in corpus (2)

• An $U_{qp}(u_2)$ Rotor Model for Rotational Bands of Superdeformed Nuclei
• q-deformed pairing-vibrations

Cited by in corpus (8)

• Quantum Groups and Their Applications in Nuclear Physics
• Unified description of magic numbers of metal clusters in terms of the 3-dimensional q-deformed harmonic oscillator
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• Rotationally Invariant Hamiltonians for Nuclear Spectra Based on Quantum Algebras
• Quantum deformation of cubic string field theory
• On a q-analogue of the spin-orbit coupling
• Wave packet dynamics of entangled q-deformed states