Relativistic scattering theory for finitely many δ-sphere interactions supported by concentric spheres

Journal of Mathematical Physics

Volumn 41, Issue 4, 2000, Pages 1735-1744

  Hounkonnou, M N ^a,b   Avossevou, G Y H ^a,b  

^a Unité de Recherche en Physique Théorique URPT Institut de Mathématiques et de Sciences Physiques IMSP   (Benin)

^b Institut International de Recherche et de Formation (INIREF)   (Benin)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034347130     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533207     Document Type: Article

References (22)

1. M. N. Hounkonnou, M. Hounkpe, and J. Shabani, J. Math. Phys. 38, 2832 (1997).
2. M. N. Hounkonnou, M. Hounkpe, and J. Shabani, J. Math. Phys. 40, 4255 (1999).
3. J-P. Antoine, F. Gesztesy, and J. Shabani, J. Phys. A 20, 3687 (1987).
4. S. Albeverio and R. Høegh-Krohn, J. Oper. Theor. 6, 313 (1981).
5. J. Shabani, J. Math. Phys. 29, 660 (1988).
6. J. Shabani, Nuovo Cimento Soc. Ital. Fis., B 101, 429 (1988).
7. L. Dabrowski and J. Shabani, J. Math. Phys. 29, 2241 (1988).
8. J. Shabani, Ann. Soc. Sci. Bruxelles T105 (3), 105 (1991).
9. T. Ikebe and S. Shimada, J. Math. Kyoto Univ. 1-31, 219 (1991).
10. T. Ikebe, J. Anal. Math. 59, 39 (1992).
11. J-P. Antoine, P. Exner, P. Šeba, and J. Shabani, Ann. Phys. 233, 1 (1994).
12. J-P. Antoine, P. Exner, P. Šeba, and J. Shabani, Operator Theory: Adv. Appl. 70, 79 (1994).
13. P. Šeba, Rep. Math. Phys. 24, 111 (1986).
14. D. Bollé and F. Gesztesy, Phys. Rev. A 30, 1279 (1984).
15. F. Gesztesy and B. Thaller, J. Phys. A 14, 639 (1981).
16. J. Dittrich, P. Exner, and P. Šeba, J. Math. Phys. 30, 2875 (1989).
17. J. Dittrich, P. Exner, and Šeba, J. Math. Phys. 33, 2207 (1992).
18. G. Y. H. Avossevou and M. N. Hounkonnou, Relativistic scattering theory for a δ-sphere plus a Coulomb interaction with boundary conditions of second type, J. Math. Phys. (in press).
19. S. Albeverio, F. Gesztesy, R. Höegh-Krohn, and H. Holden, Solvable Models in Quantum Mechanics, Texts and Monographs in Physics (Springer, Berlin, 1988).
20. A. F. Nikiforov and V. B. Ouvarov, Special Functions of Mathematical Physics (MIR, Moscow, 1976).
21. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).
22. N. I. Akhiezer and I. M. Glazman, Theory of Linear Operators in Hilbert Space (Pitman, Boston, 1981). Vol. 2.