TY - JOUR
T1 - Representation of the resonances of a relativistic quantum field theoretical model in Lax-Phillips scattering theory
AU - Strauss, Y.
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.
UR - http://www.scopus.com/inward/record.url?scp=0035851434&partnerID=8YFLogxK
U2 - 10.1016/S0960-0779(01)00088-1
DO - 10.1016/S0960-0779(01)00088-1
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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 -