Acta Physica Sinica

ENERGY SPECTRUM OF A q-DEFORMED HYDROGEN ATOM

YANG QING-ZHU, Xu Bo-wei, (1)上海交通大学物理系; (2)上海师范大学物理系

Published Jan 1, 1994• 1 citation

Abstract

The SOq(4) quantum algebra is used for the description of a q-deformed 3-dimensional hydrogen atom. The energy spectrum and degenercy of the q-deformed 3-dimension and 2-dimensional hydrogen atom are obtained respectively.

DOI: 10.7498/aps.43.689

Related papers

Energy spectrum of a q-analogue of the hydrogen atom

Qin-Gzhu Yang, Bo-Wei Xu

The SOq(4) quantum algebra is used for the description of a q-analogue of the hydrogen atom. The energy spectrum and degeneracy of a q-analogue of the hydrogen atom is obtain with q being real or a phase.

Journal of Physics A Mathematical and GeneralApr 7, 199313 citations

A q-deformation of the Coulomb problem

James Feigenbaum, Peter G. O. Freund

The algebra of observables of SOq(3)-symmetric quantum mechanics is extended to include the inverse 1/R of the radial coordinate and used to obtain eigenvalues and eigenfunctions of a q-deformed Coulomb Hamiltonian.

arXiv:hep-th/9507116Journal of Mathematical PhysicsApr 1, 199613 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 ScienceJan 1, 20010 citations

On the q-analogue of the hydrogen atom

M. Kibler, Tidjani Négadi

The discrete spectrum of a q-analogue of the hydrogen atom is obtained from a deformation of the Pauli equations. As an alternative, the spectrum is derived from a deformation of the four-dimensional oscillator arising in the application of the Kustaanheimo-Stiefel transformation to the hydrogen atom. A model of the 2s-2p Dirac shift is proposed in the context of q-deformations.

arXiv:quant-ph/0408151Journal of Physics A Mathematical and GeneralNov 21, 199150 citations

q-bosonic vector operators for soq(3) and a q-deformed u(3) algebra

C. Quesne

Physics Letters BApr 1, 199312 citations

ENERGY AND WAVE FUNCTION OF THE TWO DIMENSIONAL HARMONIC OSCILLTOR AND HYDROGEN ATOM

Hao Chen

By the coordinates counterchange,the relationship between energy and wave function of Two dimensional Harmonic Oscillator and Hydrogen Atom are found.

Journal of South China Normal UniversityJan 1, 20040 citations