| 书目名称 | Many-Body Schrödinger Equation |
| 副标题 | Scattering Theory an |
| 编辑 | Hiroshi Isozaki |
| 视频video | |
| 概述 | Enables understanding of the full array of quantum mechanical many-body problems.Solves completely the eigenfunction expansion theorem and the generalized eigenfunctions for the three-body problem.Dev |
| 丛书名称 | Mathematical Physics Studies |
| 图书封面 |  |
| 描述 | Spectral properties for Schrödinger operators are a major concern in quantum mechanics both in physics and in mathematics. For the few-particle systems, we now have sufficient knowledge for two-body systems, although much less is known about .N.-body systems. The asymptotic completeness of time-dependent wave operators was proved in the 1980s and was a landmark in the study of the .N.-body problem. However, many problems are left open for the stationary .N.-particle equation. Due to the recent rapid development of computer power, it is now possible to compute the three-body scattering problem numerically, in which the stationary formulation of scattering is used. This means that the stationary theory for .N.-body Schrödinger operators remains an important problem of quantum mechanics. It is stressed here that for the three-body problem, we have a satisfactory stationary theory. This book is devoted to the mathematical aspects of the .N.-body problem from both the time-dependent and stationary viewpoints. The main themes are:.(1) The Mourre theory for the resolvent of self-adjoint operators.(2) Two-body Schrödinger operators—Time-dependent approach and stationary approach.(3) Time-d |
| 出版日期 | Book 2023 |
| 关键词 | Mourre theory; Asymptotic completeness; Eigenfunction expansion theory; Radiation condition; Algebra of |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-99-3704-2 |
| isbn_softcover | 978-981-99-3706-6 |
| isbn_ebook | 978-981-99-3704-2Series ISSN 0921-3767 Series E-ISSN 2352-3905 |
| issn_series | 0921-3767 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
发表于 2025-3-21 17:12:21
