Téléchargez le livre : Many-Body Schrödinger Equation

Many-Body Schrödinger Equation

Scattering Theory and Eigenfunction Expansions de

Éditeur :

Springer


Collection :

Mathematical Physics Studies

Paru le : 2023-07-27

eBook Téléchargement , DRM LCP 🛈 DRM Adobe 🛈
Lecture en ligne (streaming)
158,24 €
Téléchargement immédiat
Dès validation de votre commande
Image Louise Reader présentation

Louise Reader

Lisez ce titre sur l'application Louise Reader.

badge apple Application Louise Reader
badge Android Application Louise Reader
Description


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-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. 
Pages
399 pages
Collection
Mathematical Physics Studies
Parution
2023-07-27
Marque
Springer
EAN papier
9789819937035
EAN PDF
9789819937042
Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
39
Taille du fichier
3994 Ko
Prix
158,24 €
EAN EPUB
9789819937042
Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
39
Taille du fichier
44954 Ko
Prix
158,24 €

Suggestions personnalisées