منابع مشابه
Two-particle scattering theory for anyons
We consider potential scattering theory of a nonrelativistic quantum mechanical 2-particle system in R2 with anyon statistics. Sufficient conditions are given which guarantee the existence of Møller operators and the unitarity of the S–matrix. As examples the rotationally invariant potential well and the δ–function potential are discussed in detail. In case of a general rotationally invariant p...
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It is shown how gauge invariance is obtained for the coupling of a photon to a two-body state described by the solution of the Bethe-Salpeter equation. This is illustrated both for a complex scalar field theory and for interaction kernels derived from chiral effective Lagrangians. 1 Work supported in part by the DFG through funds provided to the TR 16 " Subnuclear structure of matter " .
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We study scattering theory for systems of N particles in a constant magnetic eld under the assumption that the system has no neutral subsystems. We prove the Mourre estimate using the generator of dilations along the direction of the eld as the conjugate operator, and asymptotic completeness of wave operators for short-range interactions.
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Chiral perturbation theory provides an appropriate framework for studying hadronic processes at low energies [1]. In chiral perturbation theory (ChPT) the most general effective Lagrangian incorporating the same symmetries and symmetry breaking patterns as the underlying theory, QCD, is formulated in terms of the relevant degrees of freedom, i.e., mesons and baryons. Moreover, external fields r...
متن کاملMacroscopic Causality and Permanence of Smoothness for Two-Particle Scattering∗
Recent developments in the formulation of causality restrictions on the S matrix are reviewed, with attention focused on the behavior of matrix elements of the translation operator between suitably localized in and out states. Rapid decrease for large translations outside the timelike velocity cone of the center of momentum follows from Poincaré invariance and boundedness of S, as a result of a...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1999
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.532837