Rutherford atom in quantum theory

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 3, 2003, Pages

  Kalinski, Maciej ^a,b,c   Eberly, J H ^a   West, J A ^a,d   Stroud Jr , C R ^a,d  

^a UNIVERSITY OF ROCHESTER   (United States)

^b FOM INSTITUTE AMOLF   (Netherlands)

^c UNIVERSITY OF ULM   (Germany)

^d UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CARRIER CONCENTRATION; ELECTRONS; HELIUM; MATHEMATICAL MODELS; QUANTUM THEORY; TIME DOMAIN ANALYSIS;

HARTREE-FOCK EQUATIONS; HELIUM ATOM; ONE ELECTRON WAVE PACKET; RUTHERFORD ATOM;

ATOMIC PHYSICS;

EID: 0037500014     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (53)

1. The emerging topic of "quantum control" is concerned with methods of preparing and manipulating well-defined (quasi-classical) quantum states. M. Shapiro and P. Brumer, Phys. Rev. Lett. 77, 2574 (1996)
2. M. Demiralp and H. Rabitz, Phys. Rev. A 55, 673 (1997).
3. I. Bialynicki-Birula, M. Kalinski, and J.H. Eberly, Phys. Rev. Lett. 73, 1777 (1994).
4. M. Kalinski, and J.H. Eberly, Phys. Rev. A 53, 1715 (1996).
5. M. Kalinski, J.H. Eberly, and I. Bialynicki-Birula, Phys. Rev. A 52, 2460 (1995)
6. D. Delande, J. Zakrzewski, and A. Buchleitner, Europhys. Lett. 32, 107 (1995)
7. J. Zakrzewski, D. Delande, and A. Buchleitner, Phys. Rev. Lett. 75, 4015 (1995).
8. E. Lee, A.F. Brunello, and D. Farrelly, Phys. Rev. Lett. 75, 3641 (1995)
9. A.F. Brunello, T. Uzer, and D. Farrelly, ibid. 76, 2874 (1996).
10. L.S. Brown, Am. J. Phys. 41, 525 (1973)
11. J. Mostowski, Lett. Math. Phys. 2, 1 (1977)
12. J.A. Yeazell and C.R. Stroud, Jr., Acta Phys. Pol. A 78, 253 (1990)
13. Z.D. Gaeta and C.R. Stroud, Jr., Phys. Rev. A 42, 6308 (1990)
14. Z.D. Gaeta, M.W. Noel, and C.R. Stroud, Jr., Phys. Rev. Lett. 73, 636 (1994).
15. A. Buchleitner and D. Delande, Phys. Rev. Lett. 75, 1487 (1995)
16. M. Holthaus, Chaos, Solitons/Fractals 5, 1143 (1996)
17. M. Kalinski and J.H. Eberly, Phys. Rev. Lett. 77, 2420 (1996).
18. J. von Milczewski, G.H.F. Diercksen, and T. Uzer, Phys. Rev. Lett. 76, 2890 (1996).
19. G. Alber, H. Ritsch, and P. Zoller, Phys. Rev. A 34, 1058 (1986)
20. A. Yeazell, and C.R. Stroud, Jr., Phys. Rev. Lett. 60, 1494 (1988)
21. J.A. Yeazell, M. Mallalieu, J. Parker, and C.R. Stroud, Jr., Phys. Rev. A 40, 5040 (1990)
22. J.A. Yeazell, M. Mallalieu, and C.R. Stroud, Jr., Phys. Rev. Lett. 64, 2007, (1990)
23. B. Kohler, V.V. Yakovlev, J. Che, J. L Krause, M. Messina, and K.R. Wilson, ibid. 74, 3360 (1995).
24. D. W. Schumaker, J.H. Hoogenraad, D. Pincos, and P.H. Bucksbaum, Phys. Rev. A 52, 4719 (1995)
25. M. W. Noel and C.R. Stroud, Jr., Phys. Rev. Lett. 75, 1252 (1995).
26. R.G. Hulet and D. Kleppner, Phys. Rev. Lett. 51, 1430 (1983)
27. J. Hare, M. Gross, and P. Goy, ibid. 61, 1938 (1988)
28. P. Nussenzveig, F. Bernardot, M. Brune, J. Hare, J.M. Raimond, S. Haroche, and W. Gawlik, Phys. Rev. A 48, 3991 (1993).
29. R. J. Brecha, G. Raithel, C. Wagner, and H. Walther, Opt. Commun. 102, 257 (1993)
30. C. H. Cheng, C.Y. Lee, and T.F. Gallagher, Phys. Rev. Lett. 73, 3078 (1994).
31. I. Bialynicki-Birula and Z. Bialynicka-Birula, Phys. Rev. Lett. 77, 4298 (1996).
32. U. Eichmann, V. Lange, and W. Sandner, Phys. Rev. Lett. 64, 274 (1990)
33. K. Richter and D. Wintgen, ibid. 65, 1965 (1990)
34. V.N. Ostrovsky and N.V. Prudo, Phys. Rev. A 51, 1936 (1995)
35. V. N Ostrovsky and N.V. Prudov, J. Phys. B 28, 4435 (1995).
36. J.A. West, Z.D. Gaeta, and C.R. Stroud, Phys. Rev. A 58, 186 (1998).
37. E. Rutherford, Philos. Mag. 21, 668 (1911).
38. The term "Rutherford atom" was introduced by N. Bohr; see A. Hermann, The Genesis of Quantum Theory (1899-1913) (MIT Press, Cambridge, MA, 1971), p. 149.
39. Letters on Wave Mechanics, edited by K. Prizibram (Philosophical Library, New York, 1967), pp. 55-75.
40. K.C. Kulander, Phys. Rev. A 36, 2726 (1987).
41. The Trojan stability analysis can be used without modifications only if d/R ≪ 1, which is the assumption here. Otherwise the higher terms of the dipole moment potential in the Hamiltonian [5] must be included.
42. W. Pauli, Z. Phys. 36, 339 (1926)
43. Y.N. Demkov, B.S. Monozon, and V.N. Ostrovskii, Zh. Eksp. Teor. Fiz. 57 1431 (1970) [Sov. Phys. JETP 30, 775 (1970)]
44. D. Delande and J.C. Gay, Europhys. Lett. 5, 303 (1988)
45. D. Wintgen, Z. Phys. D: At., Mol. Clusters 18, 125 (1991).
46. M. Nauenberg, Phys. Rev. A 40, 1133 (1989).
47. We solve the full Poisson equation to find the electric field generated by the outer electron while we calculate the inner electron, field up to the dipole moment.
48. J. Zakrzewski, D. Delande, and A. Buchleitner, Phys. Rev. Lett. 75, 4015 (1995)
49. Z. Bialynicka-Birula and I. Bialynicki-Birula, Phys. Rev. A 56, 3623 (1997)
50. T.F. Gallagher, Rydberg Atoms (Cambridge University Press, Cambridge, England, 1994).
51. W. Chism and L.E. Reichl, Phys. Rev. A 65, 021404 (2002)
52. E. Grosfeld and L. Friedland, Phys. Rev. E 65, 046230 (2002)
53. D.-H. Kwon et al., Phys. Rev. A 65, 055401 (2002).