Abstract
A simple model for the description of atomic and ionic species with spectra exhibiting a quantum defect is solved using the Lie algebra su(1, 1). The quantum defect of bound states is related to the phase shift of scattering states. The resonances are discussed in terms of the nonunitary representations of this algebra.
Similar content being viewed by others
References
A. O. Barut,Phys. Rev. 156, 1538 (1967).
A. O. Barut and H. Kleinert,Phys. Rev. 156, 1541 (1967);160, 1149 (1967).
A. O. Barut and A. Baiquni,Phys. Rev. 184, 1342 (1969).
A. O. Barut and G. L. Bornzin,J. Math. Phys. 12, 841 (1971).
A. O. Barut and W. Rasmussen,Phys. Rev. D 3, 956 (1971).
A. O. Barut, D. Corrigan, and H. Kleinert,Phys. Rev. Lett. 20, 167 (1968).
A. O. Barut and W. Rasmussen,J. Phys. B 6, 1695 (1973);ibid.,6, 1713 (1973).
Y. Ne'eman, A. Bohm, and A. O. Barut, eds.,Spectrum Generating Groups and Algebras (World Scientific, Singapore, 1988).
V. A. Kostelecky and M. M. Nieto,Phys. Rev. A 32, 31 (1985).
S. Kais and S. K. Kim,Phys. Lett. A 114, 47 (1986).
G. D. Doolen,Int. J. Quantum Chem. XIV, 523 (1978).
I. Benjamin and R. D. Levine,Phys. Rev. A 33, 2833 (1986).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gilmore, R., Solari, H.G. & Kim, S.K. Algebraic description of the quantum defect. Found Phys 23, 873–879 (1993). https://doi.org/10.1007/BF01891510
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01891510