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Scattering Problems in Nonrelativistic Quantum Mechanics, Vol. 2: One Particle in One Dimension (Classic Reprint) - Softcover

 
9781330124222: Scattering Problems in Nonrelativistic Quantum Mechanics, Vol. 2: One Particle in One Dimension (Classic Reprint)

Inhaltsangabe

Excerpt from Scattering Problems in Nonrelativistic Quantum Mechanics, Vol. 2: One Particle in One Dimension

In our Opinion the difficulties which have been mentioned stam in part from an incomplete understanding of the mathematical questions involved. It is these questions to which we devote our attention. Generally the solution of a scattering problem involves related difficulties concerning the boundary condi tions, uniqueness, completeness, and the determination of a Green's function. There is a well-developed theory available for answering such questions about one-particle problems in one dimension. This theory can be extended to one particle three-dimensional problems. The extension to many-particle problems is less immediate and, at this time, less rigorous. However, the one-particle problem furnishes a useful and clarifying guide toward the correct formulation in many-particle systems.

In this paper we shall consider one-particle one-dimensional systems. Many-dimensional many-particle cases will be treated in future reports.

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Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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Excerpt from Scattering Problems in Nonrelativistic Quantum Mechanics, Vol. 2: One Particle in One Dimension

In our Opinion the difficulties which have been mentioned stam in part from an incomplete understanding of the mathematical questions involved. It is these questions to which we devote our attention. Generally the solution of a scattering problem involves related difficulties concerning the boundary condi tions, uniqueness, completeness, and the determination of a Green's function. There is a well-developed theory available for answering such questions about one-particle problems in one dimension. This theory can be extended to one particle three-dimensional problems. The extension to many-particle problems is less immediate and, at this time, less rigorous. However, the one-particle problem furnishes a useful and clarifying guide toward the correct formulation in many-particle systems.

In this paper we shall consider one-particle one-dimensional systems. Many-dimensional many-particle cases will be treated in future reports.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Reseña del editor

Excerpt from Scattering Problems in Nonrelativistic Quantum Mechanics, Vol. 2: One Particle in One Dimension

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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Friedman, B.
Verlag: Forgotten Books, 2019
ISBN 10: 1330124227 ISBN 13: 9781330124222
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Friedman, B.
Verlag: Forgotten Books, 2019
ISBN 10: 1330124227 ISBN 13: 9781330124222
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B. Friedman, E. Gerjuoy
Verlag: Forgotten Books, 2018
ISBN 10: 1330124227 ISBN 13: 9781330124222
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Paperback. Zustand: New. 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. print-on-demand item. Bestandsnummer des Verkäufers 9781330124222_0

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