Representation of the resonances of a relativistic quantum field theoretical model in Lax-Phillips scattering theory

Y. Strauss; L. P. Horwitz

doi:10.1016/S0960-0779(01)00088-1

Representation of the resonances of a relativistic quantum field theoretical model in Lax-Phillips scattering theory

Y. Strauss, L. P. Horwitz

Research output: Contribution to journal › Conference article › peer-review

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.

Original language	English
Pages (from-to)	2747-2756
Number of pages	10
Journal	Chaos, Solitons and Fractals
Volume	12
Issue number	14-15
DOIs	https://doi.org/10.1016/S0960-0779(01)00088-1
State	Published - 12 Nov 2001
Externally published	Yes
Event	Irreversibility, Probability and Complexity - Brussels, Belgium Duration: 12 Nov 2001 → 12 Nov 2001

ASJC Scopus subject areas

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1016/S0960-0779(01)00088-1

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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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AU - Horwitz, L. P.

PY - 2001/11/12

Y1 - 2001/11/12

N2 - 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.

AB - 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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U2 - 10.1016/S0960-0779(01)00088-1

DO - 10.1016/S0960-0779(01)00088-1

M3 - Conference article

AN - SCOPUS:0035851434

SN - 0960-0779

VL - 12

SP - 2747

EP - 2756

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 14-15

T2 - Irreversibility, Probability and Complexity

Y2 - 12 November 2001 through 12 November 2001

ER -

Representation of the resonances of a relativistic quantum field theoretical model in Lax-Phillips scattering theory

Abstract

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