Representation of the Resonances of a Relativistic Quantum Field Theoretical Model in Lax-Phillips Scattering Theory

Details Representation of the Resonances of a Relativistic Quantum Field Theoretical Model in Lax-Phillips Scattering Theory Representation of the Resonances of a Relativistic Quantum Field Theoretical Model in Lax-Phillips Scattering Theory

1999-10-19

arxiv.org/abs/quant-ph/9910082v1

Physics

Quantum Physics

Tex, 15 pages, report TAUP 2588-99. Proceedings of Solvay Conference Les Treilles 3-8 July, 1999. To be published in Chaos, So

Scientific paper

We apply the quantum Lax-Phillips scattering theory to a relativistically covariant quantum field theoretical form of the (soluble) Lee model. We construct the translation representations with the help of the wave operators, and show that the resulting Lax-Phillips $S$-matrix is an inner function (the Lax-Phillips theory is essentially a theory of translation invariant subspaces). We then discuss the non-relativistic limit of this theory, and show that the resulting kinematic relations coincide with the conditions required for the Galilean description of a decaying system.

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