Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616089 | Journal of Mathematical Analysis and Applications | 2014 | 28 Pages |
Abstract
Scattering theory has its origin in Quantum Mechanics. From the mathematical point of view it can be considered as a part of perturbation theory of self-adjoint operators on the absolutely continuous spectrum. In this work we deal with the passage from the time-dependent formalism to the stationary state scattering theory. This problem involves applying Fubini's Theorem to a spectral measure integral and a Lebesgue integral of functions that take values in spaces of operators. In our approach, we use bilinear integration in a tensor product of spaces of operators with suitable topologies and generalize the results previously stated in the literature.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
L.M. GarcÃa-Raffi, B. Jefferies,