Abstract
The formalism of quantum systems with diagonal singularities is applied to describe scattering processes. Well-defined states are obtained for infinite time, which are related to a “weak form” of intrinsic irreversibility. Real and complex generalized spectral decompositions of the Liouville-von Neumann superoperator are computed. The physical meaning of “Gamow states” is discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Antoniou, I., and Prigogine, I. (1993).Physica A,192, 443–464.
Antoniou, I., and Suchanecki, Z. (1994).Foundations of Physics,24, 1439–1457.
Antoniou, I., and Suchanecki, Z. (1995). InNonlinear, Deformed and Irreversible Quantum Systems, H. D. Doebneret al., eds., World Scientific, Singapore, (1995).
Antoniou, I., and Tasaki, S. (1993).International Journal of Quantum Chemistry,46, 425–474.
Antoniou, I., Suchanecki, Z., Laura, R., and Tasaki, S. (1997). Intrinsic irreversibility of quantum systems with diagonal singularity.Physica A, to appear.
Bohm, A. (1995).Physical Review A,51, 1758.
Bohm, A., Antoniou, I., and Kielanowski, P. (1995).Journal of Mathematical Physics,36, 1.
Grecos, A., Guo, T., and Guo, W. (1975).Physica A,80, 421–446.
Laura, R., and Castagnino, M. (n.d.). Functional approach for quantum systems with continuous spectrum,Physical Review E, submitted.
Misra, B., Prigogine, I., and Courbage, M. (1979a).Physica,98A, 1–26.
Misra, B., Prigogine, I., and Courbage, M. (1979b).Proceedings of the National Academy of Science USA,76, 4768–4762.
Petrosky, T., Prigogine, I., and Tasaki, S. (1991a).Physica A,173, 175–242.
Petrosky, T., and Prigogine, I. (1991b).Physica A,175, 146–209.
Sudarshan, E. C. G., Chiu, C. B., and Gorini, V. (1978).Physical Review D,18, 2914–2929.
Zwanzig, R. (1964).Physica,30, 1109.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Laura, R. Scattering and intrinsic irreversibility. Int J Theor Phys 36, 2315–2334 (1997). https://doi.org/10.1007/BF02768927
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02768927