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Spectral Analysis of N-Body Schrödinger Operators at Two-Cluster Thresholds by Erik Skibsted, Xue Ping Wang is a nonfiction available to read on EtoBox.

What is Spectral Analysis of N-Body Schrödinger Operators at Two-Cluster Thresholds about?

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 are the limiting abs

Who reads Spectral Analysis of N-Body Schrödinger Operators at Two-Cluster Thresholds?

Author

Erik Skibsted, Xue Ping Wang

Publisher

Springer Nature Singapore

Published

2024

Language

EN

ISBN

9789819726240

Category

nonfiction

Subjects

Mathematics, Physics, Science