The Birman-Krein formula for differential forms and electromagnetic scattering
نویسندگان
چکیده
We consider scattering theory of the Laplace Beltrami operator on differential forms a Riemannian manifold that is Euclidean near infinity. Allowing for compact boundaries low regularity we prove Birman-Krein formula space co-closed forms. In case dimension three this reduces to in Maxwell scattering.
منابع مشابه
An Integer-valued Version of the Birman-krein Formula
We discuss an identity in abstract scattering theory which can be interpreted as an integer-valued version of the Birman-Krein formula.
متن کاملModified Krein Formula and Analytic Perturbation Procedure for Scattering on Arbitrary Junction
A quantum network is constructed of straight quantum wiresthe leads, of constant width,and quantum wells, which play roles of the vertex domains of the network. Basic element of the network is the junction: a detail of the network consisting of a single compact quantum well and few semi-infinite wires attached to it. In the theoretical study of the one-body transport on a junction, the role of ...
متن کاملDifferential forms on locally convex spaces and the Stokes formula
We prove a version of the Stokes formula for differential forms on locally convex spaces announced in [10]. The main tool used for proving this formula is the surface layer theorem proved in the paper [6] by the author. Moreover, for differential forms of a Sobolev-type class relative to a differentiable measure [1], we compute the operator adjoint to the exterior differential in terms of stand...
متن کاملApplication of the block backward differential formula for numerical solution of Volterra integro-differential equations
In this paper, we consider an implicit block backward differentiation formula (BBDF) for solving Volterra Integro-Differential Equations (VIDEs). The approach given in this paper leads to numerical methods for solving VIDEs which avoid the need for special starting procedures. Convergence order and linear stability properties of the methods are analyzed. Also, methods with extensive stability r...
متن کاملthe search for the self in becketts theatre: waiting for godot and endgame
this thesis is based upon the works of samuel beckett. one of the greatest writers of contemporary literature. here, i have tried to focus on one of the main themes in becketts works: the search for the real "me" or the real self, which is not only a problem to be solved for beckett man but also for each of us. i have tried to show becketts techniques in approaching this unattainable goal, base...
15 صفحه اولذخیره 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: Bulletin Des Sciences Mathematiques
سال: 2022
ISSN: ['0007-4497', '1952-4773']
DOI: https://doi.org/10.1016/j.bulsci.2022.103166