Coherent states associated with the wavefunctions and the spectrum of the isotonic oscillator

Journal of Physics A: Mathematical and General

Volumn 37, Issue 16, 2004, Pages 4567-4577

  Thirulogasanthar, K ^a   Saad, Nasser ^b  

^a Dept of Electrical and Computer Engineering   (Canada)

^b UNIVERSITY OF PRINCE EDWARD ISLAND   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442449391     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/16/007     Document Type: Article

References (18)

1. Ali S T, Antoine J-P and Gazeau J-P 2000 Coherent States, Wavelet and Their Generalizations (New York: Springer)
2. Klauder J R and Skagerstam B S 1985 Coherent States, Applications in Physics and Mathematical Physics (Singapore: World Scientific)
3. Perelomov A M 1986 Generalized Coherent States and Their Applications (Berlin: Springer)
4. Gazeau J-P and Klauder J R 1999 J. Phys. A: Math. Gen. 32 123
5. Klauder J R, Penson K A and Sixdeniers J-M 2001 Phys. Rev. A 64 013817
6. Jellal A 2002 Mod. Phys. Lett. A 17 671
7. Antoine J-P, Gazeau J-P, Monceau P, Klauder J R and Penson K A 2001 J. Math. Phys. 42 2349
8. Borzov V V and Damaskinski E V 2002 POMI 285 39
9. Thirulogasanthar K and Ali S T 2003 J. Math. Phys. 44 5070
10. Landau L D and Lifshitz E M 1977 Quantum Mechanics: Non-relativistic Theory 3rd edn (New York: Pergamon) (the exact solution of the isotonic oscillator Hamiltonian is discussed on p 127)
11. Sixdeniers J M, Penson K A and Solomon A I 1999 J. Phys. A: Math. Gen. 32 7543
12. Hall R L, Saad N and von Keviczky A B 2002 J. Math. Phys. 43 94
13. von Keviczky A B, Saad N and Hall R L 2004 Green's function for a Schrödinger operator and some related summation formulas J. Math. Appl. submitted
14. Saad N and Hall R L 2003 J. Phys. A: Math. Gen. 36 7771
15. Buchholz H 1969 Confluent Hypergeometric Function (Berlin: Springer) p 144
16. Hall R L, Saad N and von Keviczky A B 2001 J. Phys. A: Math. Gen. 34 11287
17. Thirulogasanthar K and Honnouvo H 2003 Preprint math-ph/0307054
18. Erdélyi A, Magnus W, Oberhettinger F and Tricomi F G 1953 Tables of Integral Transforms (New York: McGraw-Hill)