Unusual properties of some E = 0 localized states and the quantum-classical correspondence

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 362, Issue 1, 2007, Pages 26-30

  Makowski, A J ^a   Gorska K J ^a  

^a NICOLAUS COPERNICUS UNIVERSITY   (Poland)

Author keywords

Bound states; Central potentials; Localized states; Quantum classical correspondence

Indexed keywords

BOUND STATE; CENTRAL POTENTIALS; CLASSICAL SOLUTIONS; CLASSICAL TRAJECTORIES; CORRESPONDENCE PRINCIPLE; LOCALIZED STATE; POWER LAW POTENTIAL; QUANTUM-CLASSICAL CORRESPONDENCE;

QUANTUM THEORY;

EID: 33845885523     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2006.10.025     Document Type: Article

References (28)

1. Child M.S. J. Phys. A: Math. Gen. 31 (1998) 657
2. Vogt E., and Wannier G.H. Phys. Rev. 95 (1954) 1190
3. Child M.S. Mol. Phys. 12 (1967) 401
4. Riisager K., Fedorov D.V., and Jensen A.S. Europhys. Lett. 49 (2000) 547
5. Kobayashi T. Physica A 303 (2002) 469
6. Joachain C.J. Quantum Collision Theory (1983), North-Holland, Amsterdam
7. Daboul J., and Nieto M.M. Phys. Lett. A 190 (1994) 357
8. Daboul J., and Nieto M.M. Int. J. Mod. Phys. A 11 (1996) 3801
9. Downs B.W. Am. J. Phys. 30 (1962) 248
10. Frank W.F., Land D.J., and Spector M. Rev. Mod. Phys. 43 (1971) 36
11. Bagchi B., and Quesne C. Phys. Lett. A 230 (1997) 1
12. Kobayashi T., and Shimbori T. Phys. Rev. A 65 (2002) 042108
13. Makowski A.J. Phys. Rev. A 65 (2002) 032103
14. Makowski A.J., and Górska K.J. Phys. Rev. A 66 (2002) 062103
15. Makowski A.J. Phys. Rev. A 68 (2003) 022102
16. Makowski A.J., and Górska K.J. Acta Phys. Pol. B 35 (2004) 579
17. Sadeghpour H.R., Bohn J.L., Cavagnero M.J., Esry B.D., Fabrikant I.I., Macek J.H., and Rau A.R.P. J. Phys. B 33 (2000) R93
18. Wang H., Wang X.T., Gould P.L., and Stwalley W.C. Phys. Rev. Lett. 78 (1997) 4173
19. Geyler V.A., and Grishanov E.N. JETP Lett. 75 (2002) 354
20. Nowakowski M., and Rosu H.C. Phys. Rev. E 65 (2002) 047602
21. Daboul J., and Nieto M.M. Phys. Rev. E 52 (1995) 4430
22. Mahdifar A., Roknizadeh R., and Naderi M.H. J. Phys. A: Math. Gen. 39 (2006) 7003
23. Novaes M., and Gazeau J.P. J. Phys. A: Math. Gen. 36 (2003) 199
24. Jauch J.M., and Hill E.L. Phys. Rev. 57 (1940) 641
25. Chen Y.F., and Huang K.F. J. Phys. A: Math. Gen. 36 (2003) 7751
26. Górska K.J., Makowski A.J., and Dembiński S.T. J. Phys. A: Math. Gen. 39 (2006) 13285
27. Klauder J.R. J. Math. Phys. 4 (1963) 1058
28. Radcliffe J.M. J. Phys. A: Math. Gen. 4 (1971) 313