Description of Unstable Systems in Relativistic Quantum Mechanics in the Lax-Phillips Theory

L. P. Horwitz, Y. Strauss

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We discuss some of the experimental motivation for the need for semigroup decay laws and the quantum Lax-Phillips theory of scattering and unstable systems. In this framework, the decay of an unstable system is described by a semigroup. The spectrum of the generator of the semigroup corresponds to the singularities of the Lax-Phillips S-matrix. In the case of discrete (complex) spectrum of the generator of the semigroup, associated with resonances, the decay law is exactly exponential. The states corresponding to these resonance (eigenfunctions of the generator f the semigroup) lie in the Lax-Phillips Hilbert space, and, therefore, all physical properties of the resonant states can be computed. We show that the parametrized relativistics quantum theory is an natural setting for the realization of the Lax-Phillips theory.

Original languageEnglish
Pages (from-to)1607-1616
Number of pages10
JournalFoundations of Physics
Volume28
Issue number10
DOIs
StatePublished - 1 Jan 1998
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (all)

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