Scattering Problems in Nonrelativistic Quantum Mechanics, Vol. 2
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.29
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book is about mathematical questions in scattering problems in quantum mechanics, especially concerning particle solutions, boundary conditions, and the Green function. The author tackles these questions by limiting the treatment to one-particle one-dimension problems. The focus on these simplified problems allows for a presentation that is accessible to students with a mathematics background and clarifies the formulation of these issues in many-particle systems. The text would be of interest to those studying the application of mathematics to quantum physics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.
Seller Inventory # 9781330124222_0
- Title
- Scattering Problems in Nonrelativistic Quantum Mechanics, Vol. 2
- Author
- B. Friedman, E. Gerjuoy
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1330124227
- ISBN 13
- 9781330124222
- Seller catalogs
- Calculus
Master the fundamentals of quantum scattering in one dimension and see how the math underpins real physical problems.
This studyguide-style work presents the time-independent Schrödinger equation, boundary conditions, and the Green’s function for a one-particle system. It guides you from basic setup to the construction of solutions that behave like incoming and outgoing waves, with a clear path to understanding transmission, reflection, and the role of self-adjoint operators.
Written for readers who want a rigorous, yet accessible, treatment of how scattering problems are formulated and solved in one dimension, this edition connects abstract theory to concrete examples. It explains how to define eigenvalues, build complete sets of solutions, and use expansion theorems to represent general states. The material also covers singular endpoints, Weyl’s classification, and the interpretation of scattering data in a precise mathematical framework.
- How the Schrödinger equation is posed for scattering in a finite or infinite interval
- The construction and use of Green’s functions and the Green’s function’s relation to eigenfunctions
- Self-adjointness, boundary conditions, and completeness of eigenfunctions
- Transmission, reflection, and the scattering matrix in one dimension
Ideal for readers of advanced quantum mechanics and mathematical physics seeking a rigorous, self-contained guide to one-dimensional scattering.
"Synopsis" may belong to another edition of this title.
Forgotten Books
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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