Friedel formula and Krein's theorem in complex potential scattering theory
نویسندگان
چکیده
In this work, the generalization of Friedel formula and Krein's theorem in complex potential scattering theory is presented. The consequences various symmetry constraints on dynamical systems are discussed. addition, Muskhelishvili-Omn\`es representation also given
منابع مشابه
Scattering Amplitudes and the Cpt Theorem in String Theory
We discuss the role of the CPT transformation in first quantized string theories, both on the world-sheet and in the space-time. We explicitly show that the space-time CPT theorem holds for all first-quantized (per-turbative) string theories in a Minkowski background of even dimension D > 2.
متن کاملTheory of Complex Scattering Lengths
We derive a generalized Low equation for the T-matrix appropriate for complex atom-molecule interaction. The properties of this new equation at very low energies are studied and the complex scattering length and effective range are derived.
متن کاملPotential Scattering in Dirac Field Theory
We develop the potential scattering of a spinor within the context of perturbation field theory. As an application, we reproduce, up to second order in the potential, the diffusion results for a potential barrier of quantum mechanics. An immediate consequence is a simple generalization to arbitrary potential forms, a feature not possible in quantum mechanics. Subject Classification: 03.64.Nk , ...
متن کاملScattering Theory and Quadratic Forms: On a Theorem of Schechter*
We show how to extend Cook's method to a class of pairs whose difference is only a quadratic form. This note is connected with the existence question for generalized wave operators Ω ± (A, B) = s-lim ee " PJB), t-* + oo where A and B are self-adjoint operators on a Hubert space, Jf, and Pac(B) is the projection onto J^ac(B\ the set of vectorswhose spectral measure relative to B is absolutely co...
متن کاملBoas' Formula and Sampling Theorem
In 1937, Boas gave a smart proof for an extension of the Bernstein theorem for trigonometric series. It is the purpose of the present note (i) to point out that a formula which Boas used in the proof is related with the Shannon sampling theorem; (ii) to present a generalized Parseval formula, which is suggested by the Boas’ formula; and (iii) to show that this provides a very smart derivation o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical review research
سال: 2022
ISSN: ['2643-1564']
DOI: https://doi.org/10.1103/physrevresearch.4.023083