q-deformed Hermite polynomials in q-quantum mechanics

European Physical Journal C

Volumn 6, Issue 1, 1999, Pages 183-186

  Hinterding, R ^a,b   Wess, J ^a,b  

^a Sektion Physik der Ludwig M   (Germany)

^b MAX PLANCK INSTITUT FÜR PHYSIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038927487     PISSN: 14346044     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100529800888     Document Type: Article

References (8)

1. A. Lorek, A. Ruffing, J. Wess, A q-Deformation of the Harmonic Oscillator, hep-th/96051 61
2. A. Hebecker, S. Schreckenberg, J. Schwenk, W. Weich, J. Wess, Representations of a q-deformed Heisenberg algebra, Z. Phys. C 64 (1994) 355-359
3. R. Koekoek, R.F. Swarttouw, The Askey-Scheme of hypergeometric orthogonal polynomials and its q-analogue, Delft University of Technology, Reports of the Faculty of Technical Mathematics and Informatics, no. 94-05 (1994)
4. Ralf Hinterding, Diplomarbeit, LMU München (1997)
5. T.S. Chihara, An Introduction to Orthogonal Polynomials, Gordon and Breach (1978)
6. N.N. Lebedev, Special Functions and their Applications, Prentice-Hall (1965)
7. T.H. Koornwinder, R.F. Swarttouw, On q-Analogues of the Fourier and Hankel Transforms, Trans. AMS 333 (1992) 445-461
8. G. Gasper, M. Rahman, Basic Hypergeometric Series, Cambridge University Press (1990)