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Generalized Complex Spectral Decomposition for a Quantum Decay Process

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Abstract

By extending the notion of mixed states to functionals acting on the space of observables with diagonal singularity we obtain a well-defined complex spectral decomposition of the time evolution for a quantum decaying system. In this formalism, generalized Gamow states are obtained with well-defined physical properties.

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References

  • Antoniou, I. and Suchanecki, Z. (1994). Foundations of Physics 24, 1439.

    Google Scholar 

  • Antoniou, I. and Suchanecki, Z. (1995). In Non Linear, Deformed and Irreversible Quantum Systems, H. D. Debner et al., eds., World Scientific, Singapore.

    Google Scholar 

  • Antoniou, I., Suchanecki, Z., Laura, R., and Tasaki, S. (1997). Physica A 241, 737-772.

    Google Scholar 

  • Bohm, A. (1986). Quantum Theory, Foundations and Applications, Springer, Berlin.

    Google Scholar 

  • Bohm, A. (1995). Physical Review A 51, 1758.

    Google Scholar 

  • Bohm, A. and Gadella, M. (1989). Dirac Kets, Gamow Vectors and Gel'fand Triplets, Springer, Berlin.

    Google Scholar 

  • Bohm, A., Gadella, M., and Maynland, B. G. (1989). American Journal of Physics 57, 1103

    Google Scholar 

  • Castagnino, M., Gadella, M., Id Betan, R., and Laura, R. (2001a). Physics Letters A 282, 250-254.

    Google Scholar 

  • Castagnino, M. Gadella, M., Id Betan, R., and Laura, R. (2001b). Journal of Physics A: Mathematical and General 34, 10067-10083.

    Google Scholar 

  • Castagnino, M. and Laura, R. (1997). Physical Review A 56, 108-119.

    Google Scholar 

  • Castagnino, M. and Laura, R. (2000). Physical Review A 62, 022107.

    Google Scholar 

  • Gadella, M. and Laura, R. (2001). International Journal of Quantum Chemistry 81, 307-320.

    Google Scholar 

  • Khalfin, L. A. (1958). Soviet Physics JETP 6, 1053-1063.

    Google Scholar 

  • Laura, R. (1997). International Journal of Theoretical Physics 36, 2361-2380.

    Google Scholar 

  • Laura, R. and Castagnino, M. (1998a). Physical Review E 57, 3948-3961.

    Google Scholar 

  • Laura, R. and Castagnino, M. (1998b). Physical Review A 57, 4140-4152.

    Google Scholar 

  • Laura, R., Castagnino, M., and Id Betan, R. (1999). Physica A 271, 357-386.

    Google Scholar 

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Authors and Affiliations

  1. Departamento de Física, FCEIA, Avenida Pellegrini 250, Rosario, Argentina

    M. Castagnino, R. Id Betan & R. Laura

Authors
  1. M. Castagnino
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  2. R. Id Betan
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  3. R. Laura
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Castagnino, M., Betan, R.I. & Laura, R. Generalized Complex Spectral Decomposition for a Quantum Decay Process. International Journal of Theoretical Physics 42, 2423–2439 (2003). https://doi.org/10.1023/B:IJTP.0000005967.55092.10

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  • DOI: https://doi.org/10.1023/B:IJTP.0000005967.55092.10

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