Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics A Mathematical and General

Two models of a q-deformed hydrogen atom

Jonas Gora

Published Dec 7, 1992• 6 citations
Publisher

Abstract

Two possible methods of deformation of a hydrogen-like system in terms of the q-(deformed) boson operators are constructed. In the first case the system has SU q (2)(X)SU q (2) symmetry, while in the second S((X) 4 i=1 U q (1)) symmetry. The energy level degeneracy and splitting for both cases are explicitly calculated.
DOI
10.1088/0305-4470/25/23/003

Related papers

A q-deformed oscillator system with quantum group SLq(l) symmetry

Chang-Pu Sun, Xu‐Feng Liu, Jing-fa Lu +1 more

A q-deformed oscillator system with quantum group SL q (l) symmetry is constructed in terms of the q-deformed boson operators. The energy level degeneracy associated with the irreducible representation of SL q (l) is analysed, especially for the case that q is a root of unity.

Journal of Physics A Mathematical and General•Jan 21, 1992•3 citations

Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. IV: The su(2)q- and the su(1, 1)q-Algebras in Four Kinds of Boson Operators

A. Kuriyama, Constança Providência, João da Providência +2 more

The basic idea presented in Parts (I) – (III) of this series for the deformed boson scheme is applied to the case of the su(2)- and the su(1, 1)-algebras for describing many-body systems consisting of four kinds of boson operators. A possible form of the coherent state given by the present authors is generalized and the su(2)q- and the su(1, 1)q-algebras are obtained in forms expressed in terms of four kinds of boson operators. As an illustrative example demonstrating the application of the deformed boson scheme, the framework for describing thermal effects observed in the two-level shell model with pairing correlation is proposed.

Progress of Theoretical Physics•Aug 1, 2002•0 citations

THE MODEL OF q-DEFORMED ∑-TYPE THREE-LEVEL ATOM

Liu Xi-bin

The model of q -deformed ∑-type three-le v el atom was constructed by means of the reationship between hydrogen atom and 4- dimensional harmonic oscillator.It was worked out that the energy levels of q -deformed ∑-type atom were split.

Journal of Hunan University of Arts and Science•Jan 1, 2001•0 citations

Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method, 4

A. Kuriyama, C Providência, J Providência +2 more

Basic idea presented in Parts (I)-(III) for the deformed boson scheme is applied to the case of the su(2)- and su(1,1)-algebras for describing many-body systems consisting of four kinds of boson operators. A possible form of the coherent state given by the present authors is generalized and the su(2)_q- and the su(1,1)_q-algebras are obtained in the form expressed in terms of four kinds of boson operators. As an illustrative example of the application, the framework for describing thermal effects observed in two-level shell model under the pairing correlation is proposed.

•May 8, 2002•0 citations

Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. IV

A. Kuriyama, Constança Providência, João da Providência +2 more

Basic idea presented in Parts (I)-(III) for the deformed boson scheme is applied to the case of the su(2)- and su(1,1)-algebras for describing many-body systems consisting of four kinds of boson operators. A possible form of the coherent state given by the present authors is generalized and the su(2)_q- and the su(1,1)_q-algebras are obtained in the form expressed in terms of four kinds of boson operators. As an illustrative example of the application, the framework for describing thermal effects observed in two-level shell model under the pairing correlation is proposed.

arXiv:nucl-th/0205022•May 8, 2002•2 citations

Deformed Boson Scheme including Conventional q-Deformation in Time-Dependent Variational Method. III: Deformation of the su(2,1)-Algebra in Terms of Three Kinds of Boson Operators

A. Kuriyama, Constança Providência, João da Providência +2 more

The basic idea presented in Parts I and II for the deformed boson scheme is applied to the case of the su(2,1)-algebra for describing many-body systems consisting of three kinds of boson operators. A possible form of the coherent state for the su(2,1)-algebra is generalized, and the deformed su(2,1)-algebra is presented. As an application, the time evolution of the statistically mixed state in a certain boson system, which has already been investigated by the present authors, is reinvestigated.

Progress of Theoretical Physics•Jan 1, 2002•0 citations
The basic idea presented in Parts (I) – (III) of this series for the deformed boson scheme is applied to the case of the su(2)- and the su(1, 1)-algebras for describing many-body systems consisting of four kinds of boson operators. A possible form of the coherent state given by the present authors is generalized and the su(2)q- and the su(1, 1)q-algebras are obtained in forms expressed in terms of four kinds of boson operators. As an illustrative example demonstrating the application of the deformed boson scheme, the framework for describing thermal effects observed in the two-level shell model with pairing correlation is proposed.
Basic idea presented in Parts (I)-(III) for the deformed boson scheme is applied to the case of the su(2)- and su(1,1)-algebras for describing many-body systems consisting of four kinds of boson operators. A possible form of the coherent state given by the present authors is generalized and the su(2)_q- and the su(1,1)_q-algebras are obtained in the form expressed in terms of four kinds of boson operators. As an illustrative example of the application, the framework for describing thermal effects observed in two-level shell model under the pairing correlation is proposed.
Basic idea presented in Parts (I)-(III) for the deformed boson scheme is applied to the case of the su(2)- and su(1,1)-algebras for describing many-body systems consisting of four kinds of boson operators. A possible form of the coherent state given by the present authors is generalized and the su(2)_q- and the su(1,1)_q-algebras are obtained in the form expressed in terms of four kinds of boson operators. As an illustrative example of the application, the framework for describing thermal effects observed in two-level shell model under the pairing correlation is proposed.