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Titlebook: Jost Functions in Quantum Mechanics; A Unified Approach t Sergei A. Rakityansky Book 2022 The Editor(s) (if applicable) and The Author(s),

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发表于 2025-3-21 18:02:47 | 显示全部楼层 |阅读模式
书目名称Jost Functions in Quantum Mechanics
副标题A Unified Approach t
编辑Sergei A. Rakityansky
视频video
概述Presents rigorously the theory of Jost functions and Jost matrices.Offers an alternative exposition to the theory of quantum scattering.Provides the beginner with new insights to master the subject
图书封面Titlebook: Jost Functions in Quantum Mechanics; A Unified Approach t Sergei A. Rakityansky Book 2022 The Editor(s) (if applicable) and The Author(s),
描述.Based on Jost function theory this book presents an approach useful for different types of quantum mechanical problems. These include the description of scattering, bound, and resonant states, in a unified way. The reader finds here all that is known about Jost functions as well as what is needed to fill the gap between the pure mathematical theory and numerical calculations. Some of the topics covered are: quantum resonances, Regge poles, multichannel scattering, Coulomb interaction, Riemann surfaces, multichannel analog of the effective range theory, one- and two-dimensional problems, many-body problems within the hyperspherical approach, just to mention few of them. These topics are relevant in the fields of quantum few-body theory, nuclear reactions, atomic collisions, and low-dimensional semiconductor nanostructures. In light of this, the book is meant for students, who study quantum mechanics, scattering theory, or nuclear reactions at the advanced level as well as for post-graduate students and researchers in the fields of nuclear and atomic physics. Many of the arguments that are traditional for textbooks on quantum mechanics and scattering theory, are covered here in a di
出版日期Book 2022
关键词Multi-Channel Scattering; Quantum Resonances; Jost Matrices; Riemann Surfaces; Coulomb Interaction; Regge
版次1
doihttps://doi.org/10.1007/978-3-031-07761-6
isbn_softcover978-3-031-07763-0
isbn_ebook978-3-031-07761-6
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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978-3-031-07763-0The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Single-Channel Potential with Coulombic Tailcase of charged particles is analyzed. It is shown how the presence of the Coulomb forces modifies the differential equations that determine the Jost functions and what kind of changes these forces do to the analytic structure of the Jost functions as well as to the topology of the Riemann surface where these functions are defined on.
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Singular and Low-Dimensional Potentials here how the problems involving singular potentials as well as the one- and two-dimensional problems can be approached on the same basis (i.e., using the Jost matrices) but with some necessary modifications and with the help of some special tricks.
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ides the beginner with new insights to master the subject.Based on Jost function theory this book presents an approach useful for different types of quantum mechanical problems. These include the description of scattering, bound, and resonant states, in a unified way. The reader finds here all that
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