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Physical description of decay processes

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  • Henin, F.
  • Mayné, F.

Abstract

A dynamical formulation of quasi-particles corresponding to complex poles of Green's functions has been provided in the frame of “Liapounov” transformations in a superoperator formalism. In this formalism, two different superoperators are associated with the hamiltonian, on the one hand an energy superoperator H, and on the other, an evolution superoperator L. In the case of systems with continuous spectrum, it is possible to diagonalize the transform of H, the diagonal elements being the energies found by the Green's functions methods. This can be achieved without diagonalizing at the same time, the transform of L: the inverse lifetimes and the collision processes are obtained in this way.

Suggested Citation

  • Henin, F. & Mayné, F., 1981. "Physical description of decay processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 108(2), pages 281-304.
    • Handle: RePEc:eee:phsmap:v:108:y:1981:i:2:p:281-304
    DOI: 10.1016/0378-4371(81)90134-5
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    References listed on IDEAS

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    1. Claude G. Henin, 1973. "Optimal allocation of unreliable components for maximizing expected profit over time," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 20(3), pages 395-403, September.
    2. Misra, B. & Prigogine, I. & Courbage, M., 1979. "From deterministic dynamics to probabilistic descriptions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 1-26.
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