Title: Bounds on Elements of the S Matrix for Elastic Scattering One Dimensional Scattering Classic Reprint
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 1332106196
ISBN 13: 9781332106196
Binding: PAP
Condition: New
Weight: 136 grams

About this title

Synopsis

Explore how researchers place solid limits on elastic scattering in one dimension.

This book presents a variational approach to bounding the elements of the scattering matrix in multi-channel problems, with a focus on simple, concrete models. It explains how a real Hermitian matrix potential can describe coupled channels and how upper and lower bounds emerge from a formal variational principle.

See how the one-dimensional problem can be written as a matrix Schr�dinger equation with a 2x2 potential and what that means for channel coupling.
Learn how eigenphase shifts and mixing parameters characterize scattering, and how bounds are derived.
Understand the role of comparison potentials to obtain reliable lower and upper bounds on key quantities.
Review numerical examples, including an attractive square-well scenario, to illustrate the method in action.

Ideal for readers of advanced quantum scattering and mathematical physics who want a clear, concrete path from theory to computable bounds.

"About this title" may belong to another edition of this title.

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