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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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.
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