dorsal/arxiv
View SchemaRepresentation of the Resonances of a Relativistic Quantum Field Theoretical Model in Lax-Phillips Scattering Theory
| Authors | Y. Strauss, L. P. Horwitz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9910082 |
| URL | https://arxiv.org/abs/quant-ph/9910082 |
Abstract
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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"abstract": "We apply the quantum Lax-Phillips scattering theory to a relativistically\ncovariant quantum field theoretical form of the (soluble) Lee model. We\nconstruct the translation representations with the help of the wave operators,\nand show that the resulting Lax-Phillips $S$-matrix is an inner function (the\nLax-Phillips theory is essentially a theory of translation invariant\nsubspaces). We then discuss the non-relativistic limit of this theory, and show\nthat the resulting kinematic relations coincide with the conditions required\nfor the Galilean description of a decaying system.",
"arxiv_id": "quant-ph/9910082",
"authors": [
"Y. Strauss",
"L. P. Horwitz"
],
"categories": [
"quant-ph"
],
"title": "Representation of the Resonances of a Relativistic Quantum Field Theoretical Model in Lax-Phillips Scattering Theory",
"url": "https://arxiv.org/abs/quant-ph/9910082"
},
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