书目名称 | Scattering Theory: Some Old and New Problems |
编辑 | Dmitri R. Yafaev |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolutely) continuous spectrum. It has its origin in mathematical problems of quantum mechanics and is intimately related to the theory of partial differential equations. Some recently solved problems, such as asymptotic completeness for the Schrödinger operator with long-range and multiparticle potentials, as well as open problems, are discussed. Potentials for which asymptotic completeness is violated are also constructed. This corresponds to a new class of asymptotic solutions of the time-dependent Schrödinger equation. Special attention is paid to the properties of the scattering matrix, which is the main observable of the theory. The book is addressed to readers interested in a deeper study of the subject. |
出版日期 | Book 2000 |
关键词 | Fourier transform; Wave operators; asymptotic completeness; long-range potentials; n-body problem; scatte |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0105531 |
isbn_softcover | 978-3-540-67587-7 |
isbn_ebook | 978-3-540-45170-9Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2000 |