Rotational spectra of deformed nuclei and the quantum group SUq (2)

Honusek, M.; Vinduška, M.; Wagner, V.

doi:10.1007/bf01589664

Cited by 3 publications

(2 citation statements)

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“…(19.6). Extended comparisons of the su q (2) predictions to experimental data for ground state bands of rare earth and actinide nuclei can be found in 146,149,153,154 . More recently, the su q (2) formalism has been used for the description of βand γ-bands of deformed rare earths and actinides, with satisfactory results 155 .…”

Section: Generalized Deformed Parafermionic Oscillatorsmentioning

confidence: 99%

Quantum groups and their applications in nuclear physics

Bonatsos

Daskaloyannis

1999

Progress in Particle and Nuclear Physics

198

203

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Quantum algebras are a mathematical tool which provides us with a class of symmetries wider than that of Lie algebras, which are contained in the former as a special case. After a self-contained introduction to the necessary mathematical tools (q-numbers, q-analysis, q-oscillators, q-algebras), the su q (2) rotator model and its extensions, the construction of deformed exactly soluble models (u(3)⊃so (3) model, Interacting Boson Model, Moszkowski model), the 3-dimensional q-deformed harmonic oscillator and its relation to the nuclear shell model, the use of deformed bosons in the description of pairing correlations, and the symmetries of the anisotropic quantum harmonic oscillator with rational ratios of frequencies, which underly the structure of superdeformed and hyperdeformed nuclei, are discussed in some detail. A brief description of similar applications to the structure of molecules and of atomic clusters, as well as an outlook are also given.

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Section: Generalized Deformed Parafermionic Oscillatorsmentioning

confidence: 99%

Quantum groups and their applications in nuclear physics

Bonatsos

Daskaloyannis

1999

Progress in Particle and Nuclear Physics

198

203

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“…2012), this approximation works very well for potentials whose functions are hyperbolic or trigonometric function. Quantum deformation has received much attention because of its relation with applications in nuclei (Sviratcheva 2004;Honusek 1992), statistical-quantum theory and conformal field theory (Swamy 1998;Spiridonov 1992). The q-deformed potential is special kind of f-deformed potential with only one deformed parameter q (Darareh & Harouni 2011).…”

Section: Introductionmentioning

confidence: 99%

Energy Spectra and Wave Function Analysis of q-Deformed Modified Poschl-Teller and Hyperbolic Scarf II Potentials Using NU Method and a Mapping Method

Супармі¹,

Cari²,

Yuliani³

2013

APTA

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The solution of Schrodinger equations for q-deformed modified Poschl-Teller and hyperbolic Scarf II potentials are investigated using Nikiforov-Uvarov method and a mapping method. By applying a translation of spatial variable non-deformed potentials are mapped on to deformed potential or vice versa and as a product the potential's parameters scaling obtained. The bound state energy spectra obtained using NU method are given in the close form and the corresponding wave functions are formulated in terms of the Jacobi Polynomials. The energy spectra and the radial wave functions of the system are also produced by a mapping using potential's parameters scaling from the non-deformed to the deformed potential.

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The properties of Q-deformed hyperbolic and trigonometric functions in quantum deformation

Deta

Suparmi

2015

AIP Conference Proceedings

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Rotational spectra of deformed nuclei and the quantum group SUq (2)

Cited by 3 publications

References 34 publications

Quantum groups and their applications in nuclear physics

Quantum groups and their applications in nuclear physics

Energy Spectra and Wave Function Analysis of q-Deformed Modified Poschl-Teller and Hyperbolic Scarf II Potentials Using NU Method and a Mapping Method

The properties of Q-deformed hyperbolic and trigonometric functions in quantum deformation

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