The realization of dynamic group for the pseudoharmonic oscillator

Applied Mathematics Letters

Volumn 16, Issue 2, 2003, Pages 199-203

  Dong, Shi Hai ^a  

^a INSTITUTO DE CIENCIAS NUCLEARES   (Mexico)

Author keywords

1) group; Ladder operators; Pseudoharmonic oscillator; SU(1

Indexed keywords

EID: 84867963075     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(03)80032-0     Document Type: Article

References (12)

1. L. Infeld and T.E. Hull, Factorization method, Rev. Mod. Phys. 23, 21-68, (1951).
2. G. Haidinger, N. Bessis and G. Bessis, Closed form expressions of matrix elements and eigenfunctions from ladder-operator considerations, J. Math. Phys. 15, 716-726, (1974).
3. S.-H. Dong, R. Lemus and A. Frank, The ladder operators for the Morse potential, Int. J. Quart. Chem. 86, 265-272, (2002).
4. S.-H. Dong and R. Lemus, The ladder operators for the modified Poschl-Teller potential, Int. J. Quan. Chem. 86, 433-439, (2002).
5. M. Berrondo and A. Palma, The algebraic approach to the Morse oscillator, J. Phys. A 13, 773-780, (1980).
6. A. Frank and K.B. Wolf, Lie algebras for potential scattering, Phys. Rev. Lett. 52, 1737-1739, (1984).
7. I.I. Goldman, V.D. Krivchenkov, V.I. Kogan and V.M. Galitskii, Problems in Quantum Mechanics, Pergamon, London, (1961).
8. M.L. Sage, The vibrations and rotations of the pseudoharmonic oscillator, Chem. Phys. 87, 431-439, (1984).
9. C.J. Ballhausen, A note on the V = A/x2 + Bx2 potential, Chem. Phys. Lett. 146, 449-451, (1988).
10. C.J. Ballhausen, Step-up and step-down operators for the pseudoharmonic potential V = (l/2)r2 + B/(2r2) in one and two dimensions, Chem. Phys. Lett. 151, 428-430, (1988).
11. D. Popov, Barut-Girardello coherent states of the pseudoharmonic oscillator, J. Phys. A. 34, 5283-5296, (2001).
12. IS. Gradshteyn and I.M. Ryzhik, Tables of Integrals, Series, and Products, 5th Edition, Academic Press, New York, (1994).