Oscillating decay of an unstable system

International Journal of Theoretical Physics

Volumn 42, Issue 10, 2003, Pages 2403-2421

  Antoniou, I ^a   Karpov, E ^a   Pronko, G ^a,b   Yarevsky, E ^a,c  

^a INTERNATIONAL SOLVAY INSTITUTES   (Belgium)

^b INSTITUTE FOR HIGH ENERGY PHYSICS   (Russian Federation)

^c ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

Author keywords

Friedrichs model; Non exponential decay; Resonances; Unstable system

Indexed keywords

EID: 3843102418     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:IJTP.0000005966.53444.b8     Document Type: Article

References (34)

1. Alicki, R. and Lendi, K. (1987). Quantum Dynamical Semigroups and Applications (Springer Lecture Notes in Physics, Vol. 286), Springer, Berlin.
2. Antoniou, I., Karpov, E., Pronko, G., and Yarevsky, E. (2001). Quantum Zeno and anti-zeno effects in the Friedrichs model. Physical Review A 63, 062110.
3. Antoniou, I. and Prigogine, I. (1993). Intrinsic irreversibility and integrability of dynamics. Physica A 192, 443.
4. Balzer, Chr., Huesmann, R., Neuhauser, W., and Toschek, P. E. (2000). The quantum Zeno effect-evolution of an atom impeded by measurement. Optics Communications 180, 115.
5. Bailey, T. K. and Schieve. W. C. (1978). Complex Energy Eigenstates in Quantum Decay Models. Nouvo Cimento A 47, 231.
6. Bohm, A. and Gadella, M. (1989). Dirac Kets, Gamow Vectors and Gelfand Triplets, (Springer Lecture Notes in Physics, Vol. 348), Springer, Berlin.
7. Cong, P., Roberts, G., Herek, J. L., Mohkatari, A., and Zewail, A. H. (1996). Femtosecond Real-Time Probing of Reactions. 18. Experimental and Theoretical Mapping of Trajectoraes and Potentials in the Nal Dissociation Reaction. Journal of Physical Chemistry 100, 7832.
8. Davies, E. B. (1974). Dynamics of a multilevel Wigner-Wejsskopf atom. Journal of Mathematical Physics 15, 2036.
9. Duerinckx, G. (1983). On the point spectrum of the N-points Friedrichs model. Journal of Physics A 16, L289.
10. Exner, P. (1985). Open Quantum Systems and Feynman Integrals, Reidel, Dordrecht, The Netherlands.
11. Facchi, P., Nakazato, H., and Pascazio, S. (2001). From the Quantum zeno to the Inverse Quantum zeno effect. Physical Review Letters 86, 2699.
12. 2t" limit. Physica A 271, 133.
13. Felker, P. M. and Zewail, A. H. (1995). In: Jet Spectroscopy and Molecular Dynamics, M. Hollas and D. Philips, eds., Chapman and Hall, New York.
14. Fischer, M. C., Gutierrez-Medina, B., and Raizen, M. G. (2001). Observation of the Quantum zeno and Anti-Zone Effects in an Unstable System. Physical Review Letters 87, 040402.
15. Friedrichs, K. (1948). On the periurbation of continuous spectra. Communications in Pure and Applied Mathematics 1, 361.
16. Gaspard, P. and Burghardt, I. (eds.) (1997). Chemical reactions and their control on the femtosecond time scale. In Advances in Chemical Physics, Vol. 101, John Wiley & Sons, New York.
17. Hegerfeldt, G. C. and Plenio M. B. (1992). Macroscopic dark periods without a metastable state. Physical Review A 46, 373.
18. Hegerfeldt, G. C. and Plenio, M. B. (1993). Coherence with incoherent light: A new type of quantum beats for a single atom. Physical Review A 47, 2186.
19. Imre, D., Kinsey, J. L., Sinha, A., and Krenos, J. (1984). Chemical dynamics studied by emission spectroscopy of dissociating molecules. Journal of Physical Chemistry 88, 3956.
20. Itano, W. M., Heinzen, D. J., Bollinger, J. J., and Wineland, D. J. (1990). Quantum zeno effect. Physical Review A 41, 2295.
21. Khalfin, L. A. (1957). Contribution to the theory of decay of a quasi-stationary state. Soviet Physics Doklady 2, 340.
22. Khalfin, L. A. (1958). Contribution to the decay theory of a quasi-stationary state. Soviet Physics JETP 6, 1053.
23. Kofman, A. G. and Kurizki, G. (2000). Acceleration of quantum decay processes by frequent obsorvations. Nature (London) 405, 546.
24. Kofman, A. G., Kurizki, G., and Sherman, B. (1994). Spontaneous and induced atomic decay in photonic band structures. Journal of Modern Optics 41, 353.
25. Lendi, K. (1980). On quantum beats in polyatomic molecules. Chemical Physics 46, 179.
26. Lienau, C. and Zewail, A. H. (1996). Solvation Ultrafast Dynamics of Reactions. 11. Dissociation and Caging Dynamics in the Gas-to-Liquid Transition Region. Journal of Physical Chemistry 100, 18629.
27. Likhoded, A. and Pronko, G. (1997). Possible Origin of Extra States in Particle Physics. International Journal of Theoretical Physics 36, 2335.
28. Namiki, M., Pascazio, S., and Nakazato, H. (1997). Decoherence and Quantum Measurements, World Scientific, Singapore.
29. Ordonez, G., Petrosky, T., and Prigogine, I. (2001). Quantum transitions and dressed unstable states. Physical Review A 63, 052106.
30. Petrosky, T., Prigogine, I., and Tasaki, S. (1991). Quantum theory of non-integrable systems. Physica A 173, 175.
31. Potter, E. D., Herek, J. L., Pedersen, S., Liu, Q., and Zewail, A. H. (1992). Femtosecond laser control of a chemical reaction. Nature 355, 66.
32. Ruuskanen, P. V. (1970). Non-exponential decays in a Lee model with several unstable V-particles. Nuclear Physics B 22, 253.
33. Stey, G. C. and Gibberd, R. W. (1972). Decay of quantum states in some exactly soluble models. Physica 60, 1.
34. Zewail, A. H. (2000). Femtochemistry: Atomic-Scale Dynamics of the Chemical Bond. Journal of Physical Chemistry A 104, 5660.