Neutral atom and a charged wire: From elastic scattering to absorption

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 63, Issue 3, 2001, Pages 1-3

  Bawin, M ^a   Coon, S A ^b  

^a UNIVERSITY OF LIÈGE   (Belgium)

^b NEW MEXICO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646192982     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.63.034701     Document Type: Article

References (23)

1. J. Denschlag, G. Umshaus, and J. Schmiedmayer, Phys. Rev. Lett. 81, 737 (1998).
2. 2(0,∞)," taken from Ref. [5].
3. J. Denschlag and J. Schmiedmayer, Europhys. Lett. 38, 405 (1997).
4. J. Audretsch and V. D. Skarzhinsky, Phys. Rev. A 60, 1854 (1999).
5. K. Meetz, Nuovo Cimento 34, 690 (1964).
6. The regular solution is defined by boundary conditions at a single point, in this case the point r=0, rather than the physical solution defined by mixed boundary condition, one at r =0 and one at r=∞. See for example, Ref. [10].
7. K. M. Case, Phys. Rev. 80, 797 (1950).
8. W. G. Faris, Self-Adjoint Operators, Lecture Notes in Mathematics Vol. 433 (Springer, Berlin, 1975).
9. J. Audretsch, V. D. Skarzhinsky, and B. L. Voronov, quant-ph/0004065 (unpublished).
10. R. G. Newton, Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966), Chap. 12.
11. Handbook of Mathematical Functions, edited by M. Abramovitz and I. A. Stegun (Dover, New York, 1967), p. 364.
12. C. Radin, J. Math. Phys. 16, 544 (1975).
13. E. Nelson, J. Math. Phys. 5, 332 (1964).
14. K. Gottfried, Quantum Mechanics (Benjamin, New York, 1966), pp. 127-129. The analogous formulas for two dimensions are derived by I. R. Lapidus, Am. J. Phys. 50, 45 (1982); 54, 459 (1986).
15. K. Gottfried, Quantum Mechanics (Benjamin, New York, 1966), pp. 127-129. The analogous formulas for two dimensions are derived by I. R. Lapidus, Am. J. Phys. 50, 45 (1982); 54, 459 (1986).
16. K. Gottfried, Quantum Mechanics (Benjamin, New York, 1966), pp. 127-129. The analogous formulas for two dimensions are derived by I. R. Lapidus, Am. J. Phys. 50, 45 (1982); 54, 459 (1986).
17. S. P. Alliluev, Zh. Éksp. Teor. Fiz. 61, 15 (1971) [Sov. Phys. JETP 34, 8 (1972)].
18. S. P. Alliluev, Zh. Éksp. Teor. Fiz. 61, 15 (1971) [Sov. Phys. JETP 34, 8 (1972)].
19. 2 potential becomes classical only when the potential is strong, the condition of the experiment of Ref. [1].
20. L. D. Landau and E. M. Lifshitz, Mechanics (Pergamon, London, 1960), p. 51.
21. C. R. Hagen, Phys. Rev. Lett. 77, 1656 (1996).
22. A. M. Perelomov and V. S. Popov, Teor. Mat. Fiz. 4, 48 (1970) [Theor. Math. Phys. 4, 664 (1970)].
23. A. M. Perelomov and V. S. Popov, Teor. Mat. Fiz. 4, 48 (1970) [Theor. Math. Phys. 4, 664 (1970)].