| 书目名称 | Spectral Analysis of N-Body Schrödinger Operators at Two-Cluster Thresholds |
| 编辑 | Erik Skibsted,Xue Ping Wang |
| 视频video | |
| 概述 | Contains new results in threshold analysis for many-body Schrödinger operators.Presents mathematically appealing topics that are important for scattering experiments in physics.Is a systematic study p |
| 丛书名称 | Mathematical Physics Studies |
| 图书封面 |  |
| 描述 | .This book provides a systematic study of spectral and scattering theory for many-body Schrödinger operators at two-cluster thresholds. While the two-body problem (reduced after separation of the centre of mass motion to a one-body problem at zero energy) is a well-studied subject, the literature on many-body threshold problems is sparse. However, the authors’ analysis covers for example the system of three particles interacting by Coulomb potentials and restricted to a small energy region to the right of a fixed nonzero two-body eigenvalue. In general, the authors address the question: How do scattering quantities for the many-body atomic and molecular models behave within the limit when the total energy approaches a fixed two-cluster threshold? This includes mapping properties and singularities of the limiting scattering matrix, asymptotics of the total scattering cross section, and absence of transmission from one channel to another in the small inter-cluster kinetic energy region. The authors’ principal tools are the Feshbach–Grushin dimension reduction method and spectral analysis based on a certain Mourre estimate. Additional topics of independent interest ar |
| 出版日期 | Book 2024 |
| 关键词 | Spectral and Scattering Theory; Many-Body Schrödinger Operators; Two-Cluster Thresholds; Feshbach-Grush |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-97-2624-0 |
| isbn_softcover | 978-981-97-2626-4 |
| isbn_ebook | 978-981-97-2624-0Series 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 19:17:05
