Scattering in one dimension: The coupled Schrödinger equation, threshold behaviour and Levinson's theorem

Journal of Mathematical Physics

Volumn 37, Issue 12, 1996, Pages 6033-6059

  Kiers, K A ^a   Van Dijk, W ^b,c  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b REDEEMER UNIVERSITY COLLEGE   (Canada)

^c MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030366602     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531762     Document Type: Article

References (29)

1. E. H. Hauge and J. A. Støvneng, Rev. Mod. Phys. 61, 917 (1989).
2. M. S. de Bianchi, J. Math. Phys. 35, 2719 (1994).
3. M. S. de Bianchi and M. Di Ventra, J. Math. Phys. 36, 1753 (1995).
4. P. Senn, Am. J. Phys. 56, 916 (1988).
5. G. Barton, J. Phys.: Math. General 18, 479 (1985).
6. W. van Dijk and K. A. Kiers, Am. J. Phys. 60, 520 (1992).
7. Y. Nogami and C. K. Ross, Am. J. Phys. 64, 923 (1996).
8. J. H. Eberly, Am. J. Phys. 33, 771 (1965).
9. L. Faddeev, Am. Math. Soc. Trans. Ser. 2 65, 139 (1964).
10. R. G. Newton, J. Math. Phys. 21, 493 (1980).
11. R. G. Newton, J. Math. Phys. 24, 2152 (1983).
12. R. G. Newton, J. Math. Phys. 25, 2991 (1984).
13. W. van Dijk and M. Razavy, Int. J. Quantum Chem. 16, 1249 (1979).
14. W. van Dijk and M. Razavy, Can. J. Phys. 57, 1952 (1979).
15. A. M. Lane and R. G. Thomas, Rev. Mod. Phys. 30, 257 (1958).
16. R. G. Newton and R. Jost, Nuovo Cimento 1, 590 (1955).
17. N. F. Mott and H. S. W. Massey, The Theory of Atomic Collisions, 3rd ed. (Oxford University Press, London, 1965).
18. T. Aktosun and R. G. Newton, Inverse Problems 1, 291 (1985).
19. R. G. Newton, J. Math. Phys. 18, 1348 (1977).
20. P. Lancaster and M. Tismenetsky, The Theory of Matrices with Applications, 2nd ed. (Academic, Orlando, 1985).
21. F. Rellich, Perturbation Theory of Eigenvalue Problems (Gordon and Breach, New York, 1969).
22. T. Aktosun, J. Math. Phys. 33, 3865 (1992).
23. M. Rozman, P. Reineker, and R. Tehver, Phys. Lett. A 187, 127 (1994).
24. M. Rozman, P. Reineker, and R. Tehver, Phys. Rev. A 49, 3310 (1994).
25. D. Sprung, H. Wu, and J. Martorell, Am. J. Phys. 61, 1118 (1993).
26. S. D. Doyle, J. S. Eck, W. J. Thompson, and O. L. Weaver, Am. J. Phys. 43, 677 (1975).
27. P. Henrici, Applied and Computational Complex Analysis (Wiley, New York, 1977), Vol. 2.
28. R. G. Newton. J. Math. Phys. 1, 319 (1960).
29. M. L. Goldberger and K. M. Watson, Collision Theory (Wiley, New York, 1964).