Overview
- 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
- Develops in detail, in an abstract form, a scattering theory for two-body problems, which is useful in applications
Part of the book series: Mathematical Physics Studies (MPST)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (6 chapters)
Keywords
About this book
(1) The Mourre theory for the resolvent of self-adjoint operators
(2) Two-body Schrödinger operators—Time-dependent approach and stationary approach
(3) Time-dependent approach to N-body Schrödinger operators
(4) Eigenfunction expansion theory for three-body Schrödinger operators
Compared with existing books for the many-body problem, the salient feature of this book consists in the stationary scattering theory (4). The eigenfunction expansion theorem is the physical basis of Schrödinger operators. Recently, it proved to be the basis of inverse problems of quantum scattering. This book provides necessary background information to understand the physical and mathematical basis of Schrödinger operators and standard knowledge for future development.
Authors and Affiliations
Bibliographic Information
Book Title: Many-Body Schrödinger Equation
Book Subtitle: Scattering Theory and Eigenfunction Expansions
Authors: Hiroshi Isozaki
Series Title: Mathematical Physics Studies
DOI: https://doi.org/10.1007/978-981-99-3704-2
Publisher: Springer Singapore
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2023
Hardcover ISBN: 978-981-99-3703-5Published: 28 July 2023
Softcover ISBN: 978-981-99-3706-6Due: 28 August 2023
eBook ISBN: 978-981-99-3704-2Published: 27 July 2023
Series ISSN: 0921-3767
Series E-ISSN: 2352-3905
Edition Number: 1
Number of Pages: XVII, 399
Number of Illustrations: 10 b/w illustrations
Topics: Mathematical Physics, Analysis, Quantum Physics, Functional Analysis