Unified algebraic treatment of resonance

International Journal of Modern Physics A

Volumn 20, Issue 12, 2005, Pages 2657-2672

  Alhaidari, A D ^a  

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

Author keywords

Algebraic scattering; Complex charge plane; Complex scaling; Energy resonances; Regge poles; Resonance poles trajectories

Indexed keywords

ARTICLE; ENERGY; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICS; ROTATION;

EID: 20744443832     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X05021154     Document Type: Article

References (38)

1. E. Engdahl, E. Brändas, M. Rittby and N. Elander, Phys. Rev. A37, 3777 (1988).
2. A. M. Lane and R. G. Thomas, Rev. Mod. Phys. 30, 257 (1958);
3. A. M. Lane and D. Robson, Phys. Rev. 178, 1715 (1969).
4. See, for example, R. G. Newton, Scattering Theory of Waves and Particles, 2nd edn. (Springer, New York, 1982), pp. 402-416;
5. C. J. Joachain, Quantum Collision Theory (North-Holland, Amsterdam, 1975), pp. 260-271.
6. A. D. Alhaidari, J. Phys. A37, 5863 (2004).
7. V. De Alfaro and T. Regge, Potential Scattering (North-Holland, Amsterdam, 1965);
8. J. R. Taylor, Scattering Theory (Wiley, New York, 1972);
9. A. G. Sitenko, Scattering Theory (Springer, Heidelberg, 1991).
10. J. Aguilar and J. M. Combes, Commun. Math. Phys. 22, 269 (1971);
11. E. Balslev and J. M. Combes, Commun. Math. Phys. 22, 280 (1971);
12. B. Simon, Commun. Math. Phys. 27, 1 (1972);
13. C. Cerjan, R. Hedges, C. Holt, W. P. Reinhardt, K. Scheibner and J. J. Wendoloski, Int. J. Quantum Chem. 14, 393 (1978);
14. W. P. Reinhardt, Annu. Rev. Phys. Chem. 33, 223 (1982);
15. B. R. Junker, Adv. At. Mol. Phys. 18, 208 (1982);
16. Y. K. Ho, Phys. Rep. 99, 1 (1983);
17. A. Maquet, S.-I. Chu and W. P. Reinhardt, Phys. Rev. A27, 2946 (1983).
18. H. S. Taylor, Adv. Chem. Phys. 18, 91 (1970);
19. A. U. Hazi and H. S. Taylor, Phys. Rev. A1, 1109 (1970).
20. W. Magnus, F. Oberhettinger and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics (Springer-Verlag, New York, 1966), pp. 239-249;
21. M. Abramowitz and I. A. Stegun (eds.), Handbook of Mathematical Functions (Dover, New York, 1964).
22. See, for example, App. A in: A. D. Alhaidari, H. A. Yamani and M. S. Abdelmonem, Phys. Rev. A63, 062708 (2001).
23. E. J. Heller and H. A. Yamani, Phys. Rev. A9, 1201 (1974);
24. H. A. Yamani and L. Fishman, J. Math. Phys. 16, 410 (1975);
25. A. D. Alhaidari, E. J. Heller, H. A. Yamani and M. S. Abdelmonem (eds.), J-Matrix Method and its Applications (Nova Science, New York, 2005).
26. A. D. Isaacson, C. M. McCurdy and W. H. Miller, Chem. Phys. 34, 311 (1978);
27. V. A. Mandelshtam, T. R. Ravuri and H. S. Taylor, Phys. Rev. Lett. 70, 1932 (1993);
28. H. A. Yamani and M. S. Abdelmonem, J. Phys. A28, 2709 (1995).
29. C. H. Maier, L. S. Cederbaum and W. Domcke, J. Phys. B13, L119 (1980).
30. S. A. Sofianos and S. A. Rakityansky, J. Phys. A30, 3725 (1997).
31. W. H. Press, B. P. Flannery, S. A. Teukolsky and W. T. Vetterling, Numerical Recipes (Cambridge University Press, New York, 1986).
32. See, for example, G. A. Natanzon, Theor. Math. Phys. 38, 146 (1979);
33. L. E. Gendenshtein, JETP Lett. 38, 356 (1983);
34. F. Cooper, J. N. Ginocchio and A. Khare, Phys. Rev. D36, 2458 (1987);
35. R. Dutt, A. Khare and U. P. Sukhatme, Am. J. Phys. 56, 163 (1988);
36. R. Dutt, A. Khare and U. P. Sukhatme, Am. J. Phys. ibid. 59, 723 (1991);
37. G. Lévai, J. Phys. A22, 689 (1989);
38. G. Lévai, J. Phys. ibid. 27, 3809 (1994).