The rotating Morse potential model for diatomic molecules in the tridiagonal J-matrix representation: I. Bound states

Journal of Physics B: Atomic, Molecular and Optical Physics

Volumn 40, Issue 21, 2007, Pages 4245-4257

  Nasser, I ^a   Abdelmonem, M S ^a   Bahlouli, H ^a   Alhaidari, A D ^b  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

^b Shura Council   (Saudi Arabia)

Author keywords

[No Author keywords available]

Indexed keywords

ANGULAR MOMENTUM; ATOMIC PHYSICS; ELECTRON ENERGY LEVELS; HAMILTONIANS; NUMERICAL METHODS;

DIATOMIC MOLECULES; ENERGY SPECTRUM; HAMILTONIAN MATRIX;

MOLECULAR DYNAMICS;

EID: 35549002842     PISSN: 09534075     EISSN: 13616455     Source Type: Journal    
DOI: 10.1088/0953-4075/40/21/011     Document Type: Article

References (30)

1. Morse P M 1929 Phys. Rev. 34 57
2. Dong S H, Lemus R and Frank A 2002 Int. J. Quantum Phys. 86 433 and references therein
3. Flügge S 1994 Practical Quantum Mechanics vol I (Berlin: Springer)
4. Pekeris C L 1934 Phys. Rev. 45 98
5. Herman R and Rubin R J 1955 Astrophys. J. 121 533
6. Duff M and Rabitz H 1978 Chem. Phys. Lett. 53 152
7. Elsum J R and Gordon G 1982 J. Chem. Phys. 76 5452
8. Filho E D and Ricotta R M 2000 Phys. Lett. A 269 269
9. Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 267
10. Morales D A 2004 Chem. Phys. Lett. 394 68
11. Killingbeck J P, Grosjean A and Jolicard G 2002 J. Chem. Phys. 116 447
12. Imbo T D and Sukhatme U P 1985 Phys. Rev. Lett. 54 2184
13. Bag M, Panja M M, Dutt R and Varshni Y P 1992 Phys. Rev. A 46 6059
14. Nikiforov A F and Uvarov V B 1988 Special Functions of Mathematical Physics (Basel: Birkhauser)
15. Berkdemir C and Han J 2005 Chem. Phys. Lett. 409 203
16. Berkdemir C 2006 Nucl. Phys. A 770 32
17. Bayrak O and Boztosum I 2006 J. Phys. A: Math. Gen. 39 6955
18. Castro E, Paz J L and Martin P 2006 J. Mol. Struct.: Theochem. 769 15
19. Qiang W C and Dong S H 2006 Phys. Lett. A 363 169
20. Marston C C and Balint-Kurti G G 1989 J. Chem. Phys. 91 3571
21. Heller E J and Yamani H A 1974 Phys. Rev. A 9 1201
22. Yamani H A and Fishman L 1975 J. Math. Phys. 16 410
23. Alhaidari A D, Heller E J, Yamani H A and Abdelmonem M S (ed) 2007 The J-Matrix Method: Recent Developments and Selected Applications (Heidelberg: Springer)
24. See, for example, appendix A in Alhaidari A D, Yamani H A and Abdelmonem M S 2001 Phys. Rev. A 63 062708
25. Szegö G 1997 Orthogonal Polynomials 4th edn (Providence, RI: American Mathematical Society)
26. Chihara T S 1978 An Introduction to Orthogonal Polynomials (New York: Gordon and Breach)
27. Akhiezer N I 1965 The Classical Moment Problem (Edinburgh: Oliver and Boyd)
28. Haymaker R W and Schlessinger L 1970 The Padé Approximation in Theoretical Physics ed G A Baker and J L Gammel (New York: Academic)
29. Pettifor D G and Weaire D L 1985 The Recursion Method and its Applications (Berlin: Springer)
30. Alhaidari A D 2005 Ann. Phys. 317 152 (section 5, equation (5.7))