Spectral Analysis of N-Body Schrödinger Operators at Two-Cluster Thresholds
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...
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| Main Authors: | , |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2024.
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| Edition: | 1st ed. 2024. |
| Series: | Mathematical Physics Studies,
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| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-981-97-2624-0 |
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Table of Contents:
- Introduction
- Many-Body Schrödinger Operators, Conditions and Notation
- Reduction to a One-Body Problem
- Spectral Analysis of H0 near 0
- Rellich-Type Theorems
- Resolvent Asymptotics near a Two-Cluster Threshold
- Elastic Scattering at a Threshold
- Non-Transmission at a Threshold for Physical Models
- Threshold Behaviour of Cross-Sections in Atom–Ion Scattering.