Bound-state eigenenergy outside and inside the continuum for unstable multilevel systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 72, Issue 6, 2005, Pages

  Miyamoto, Manabu ^a  

^a WASEDA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUND-STATE EIGENENERGY; FRIEDRICHS MODEL; HYDROGEN ATOM; UNSTABLE MULTILEVEL SYSTEMS;

CONTINUUM MECHANICS; EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC FIELD EFFECTS; ELECTRON ENERGY LEVELS; HYDROGEN BONDS; SPONTANEOUS EMISSION;

QUANTUM THEORY;

EID: 28844460677     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.72.063405     Document Type: Article

References (25)

1. For a review, see, for example, H. Nakazato, M. Namiki, and S. Pascazio, Int. J. Mod. Phys. B IJPBEV 0217-9792 10, 247 (1996).
2. B. Gaveau and L. S. Schulman, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/28/24/029 28, 7359 (1995).
3. K. Rzäewski, M. Lewenstein, and J. H. Eberly, J. Phys. B JPAMA4 0022-3700 10.1088/0022-3700/15/18/004 15, L661 (1982).
4. H. Nakazato, in Fundamental Aspects of Quantum Physics, edited by, L. Accardi, and, S. Tasaki, (World Scientific, River Edge, NJ, 2003).
5. S. John and J. Wang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.2418 64, 2418 (1990);
6. S. John and J. Wang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43. 12772 43, 12772 (1991).
7. A. G. Kofman, G. Kurizki, and B. Sherman, J. Mod. Opt. JMOPEW 0950-0340 41, 353 (1994).
8. X. H. Wang, B. Y. Gu, R. Wang, and H. Q. Xu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.113904 91, 113904 (2003).
9. I. Antoniou, E. Karpov, G. Pronko, and E. Yarevsky, e-print quant-ph/0402210.
10. S. Pellegrin and G. Kurizki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.032328 71, 032328 (2005).
11. E. Frishman and M. Shapiro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.253001 87, 253001 (2001);
12. E. Frishman and M. Shapiro, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.032717 68, 032717 (2003).
13. I. Antoniou, E. Karpov, G. Pronko, and E. Yarevsky, Int. J. Theor. Phys. IJTPBM 0020-7748 10.1023/B:IJTP.0000005966.53444.b8 42, 2403 (2003).
14. M. Miyamoto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.032108 70, 032108 (2004).
15. M. Miyamoto, Braz. J. Phys. BJPHE6 0103-9733 35, 425 (2005).
16. E. B. Davies, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1666578 15, 2036 (1974).
17. K. O. Friedrichs, Commun. Pure Appl. Math. CPMAMV 0010-3640 1, 361 (1948).
18. P. Exner, Open Quantum Systems and Feynman Integrals (Reidel, Dordrecht, 1985).
19. L. P. Horwitz and J.-P. Marchand, Rocky Mt. J. Math. RMJMAE 0035-7596 1, 225 (1971).
20. R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, 1985).
21. J. Seke, Physica A PHYADX 0378-4371 10.1016/0378-4371(94)90156-2 203, 269 (1994).
22. P. Facchi and S. Pascazio, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(98)00144-3 241, 139 (1998).
23. S. L. Haan and J. Cooper, J. Phys. B JPAMA4 0022-3700 10.1088/0022-3700/17/17/018 17, 3481 (1984).
24. I. Antoniou, E. Karpov, G. Pronko, and E. Yarevsky, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.062110 63, 062110 (2001).
25. T. Kato, Perturbation theory for linear operators (Springer-Verlag, Berlin, 1966).