Jost Functions In Quantum Mechanics

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Jost Functions in Quantum Mechanics

Author : Sergei A. Rakityansky
Publisher : Springer Nature
ISBN 13 : 303107761X
Total Pages : 635 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Jost Functions in Quantum Mechanics by : Sergei A. Rakityansky

Download or read book Jost Functions in Quantum Mechanics written by Sergei A. Rakityansky and published by Springer Nature. This book was released on 2022-10-20 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 different way, using the Jost functions. This gives the reader a new insight into the subject, revealing new features of various mathematical objects and quantum phenomena.

Direct and Inverse Problems

Author : Boris N. Zakhariev
Publisher : Springer Science & Business Media
ISBN 13 : 3642956157
Total Pages : 234 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Direct and Inverse Problems by : Boris N. Zakhariev

Download or read book Direct and Inverse Problems written by Boris N. Zakhariev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rapid progress in quantum theory brings us new important results which are often not immediately clear to all who need them. But fortunately, this is also followed by simplifications and unifications of our previous concepts. The inverse problem method ("The most beautiful idea of the XX-th century" - Zakharov et aI., 1980) has just both these aspects. It is rather astonishing that it took 50 years after the foundation of quantum mechanics for the creation of the "pictures" showing the direct connection of obser vables with interactions. Recently, illustrations of this type began to appear in the literature (e. g., how potentials are deformed with thc shift of one energy level or change of some resonance reduced width). Although they are transparent to those studying the quantum world and can be included within the necessary elements of quantum literacy, they are still largely unknown even to many specialists. For the first time, the most interesting of these pictures enriching our quantum intuition are col lected here and placed at your disposal. The readers of this monograph have the advantage of getting the latest information which became available after the publication of the Russian edition. It has been incor porated here in the simplest presentation possible. For example, new sections con cerning exactly solvable models, including the multi-channel, multi-dimensional ones and with time dependent potentials have been added. The first attempts in solving the three-body inverse problem are also mentioned.

Quantum Mechanics In Potential Representation And Applications

Author : Arvydas Juozapas Janavicius
Publisher : World Scientific
ISBN 13 : 9811216673
Total Pages : 270 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Quantum Mechanics In Potential Representation And Applications by : Arvydas Juozapas Janavicius

Download or read book Quantum Mechanics In Potential Representation And Applications written by Arvydas Juozapas Janavicius and published by World Scientific. This book was released on 2020-07-21 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written with a focus on new mathematical methods and physical modeling that lay the groundwork for an interpretation to various experimental results and phenomena in nuclear physics, quantum mechanics, and particle physics. Summarized in three parts, the main topics of the book are as follows.The first part importantly addresses scattering theory and nuclear reactions, with the usage of new potential representation method. This perturbation method offers the wave function as a product of the free particle solution and a function which depends on the interaction potential, allowing handy analytical expressions and integral equations for finding scattering matrices. It is highly applicable to the study of scattering and absorption of neutrons in atomic reactors, as well as the interactions between protons and nuclei by scattering processes in, for example, cyclotrons. The second part of the book concerns the perturbation method by variation of free constants and the semi-relativistic shell model of heavy nuclei in order to understand their stability. The last part is then furnished with the semi-relativistic model of mesons and relates to the binding energies of quarks in charm and bottom mesons.This book would be a valuable resource for students and researchers on new mathematical methods in the theoretical unravelling of experiments concerning nuclei and mesons, nuclear reactors, radioactive isotopes, particle accelerators, new materials in electronics and healthcare products, as well as other practical applications of nuclear physics and quantum mechanics.

Quantum Physics

Author : Florian Scheck
Publisher : Springer Science & Business Media
ISBN 13 : 3540499725
Total Pages : 738 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Quantum Physics by : Florian Scheck

Download or read book Quantum Physics written by Florian Scheck and published by Springer Science & Business Media. This book was released on 2007-04-17 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scheck’s Quantum Physics presents a comprehensive introductory treatment, ideally suited for a two-semester course. Part One covers the basic principles and prime applications of quantum mechanics, from the uncertainty relations to many-body systems. Part Two introduces to relativistic quantum field theory and ranges from symmetries in quantum physics to electroweak interactions. Numerous worked-out examples as well as exercises, with solutions or hints, enables the book’s use as an accompanying text for courses, and also for independent study. For both parts, the necessary mathematical framework is treated in adequate form and detail. The book ends with appendices covering mathematical fundamentals and enrichment topics, plus selected biographical notes on pioneers of quantum mechanics and quantum field theory.

Inverse Problems in Quantum Scattering Theory

Author : K. Chadan
Publisher : Springer Science & Business Media
ISBN 13 : 3662121255
Total Pages : 364 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Inverse Problems in Quantum Scattering Theory by : K. Chadan

Download or read book Inverse Problems in Quantum Scattering Theory written by K. Chadan and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Collision Theory

Author : Charles Jean Joachain
Publisher : North-Holland
ISBN 13 :
Total Pages : 736 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis Quantum Collision Theory by : Charles Jean Joachain

Download or read book Quantum Collision Theory written by Charles Jean Joachain and published by North-Holland. This book was released on 1975 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures in Scattering Theory

Author : A. G. Sitenko
Publisher : Elsevier
ISBN 13 : 1483186822
Total Pages : 280 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Lectures in Scattering Theory by : A. G. Sitenko

Download or read book Lectures in Scattering Theory written by A. G. Sitenko and published by Elsevier. This book was released on 2013-10-22 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures in Scattering Theory discusses problems in quantum mechanics and the principles of the non-relativistic theory of potential scattering. This book describes in detail the properties of the scattering matrix and its connection with physically observable quantities. This text presents a stationary formulation of the scattering problem and the wave functions of a particle found in an external field. This book also examines the analytic properties of the scattering matrix, dispersion relations, complex angular moments, as well as the separable representation of the scattering amplitude. The text also explains the method of factorizing the potential and the two-particle scattering amplitude, based on the Hilbert-Schmidt theorem for symmetric integral equations. In investigating the problem of scattering in a three-particle system, this book notes that the inapplicability of the Lippman-Schwinger equations can be fixed by appropriately re-arranging the equations. Faddeev equations are the new equations formed after such re-arrangements. This book also cites, as an example, the scattering of a spin-1/2 particle by a spinless particle (such as the scattering of a nucleon by a spinless nucleus). This text is suitable for students and professors dealing with quantum mechanics, theoretical nuclear physics, or other fields of advanced physics.

Quantum Mechanics

Author : A. S. Davydov
Publisher : Elsevier
ISBN 13 : 1483187837
Total Pages : 652 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Quantum Mechanics by : A. S. Davydov

Download or read book Quantum Mechanics written by A. S. Davydov and published by Elsevier. This book was released on 2013-10-22 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Mechanics, Second Edition discusses the fundamental concepts and governing principles of quantum mechanics. The title details the physical ideas and the mathematical formalism of the quantum theory of the non-relativistic and quasi-relativistic motion of a single particle in an external field. The text first covers the basic concepts, and then proceeds to tackling the change of quantum states in time. Next, the selection examines the connection between quantum mechanics and classical mechanics. The book also discusses the simplest applications of quantum mechanics, along with the elementary representation theory. The book will be most useful to students of physics who are studying quantum mechanics. The text will also serve expert quantum physicists as a reference.

Quantum Mechanics in Nonlinear Systems

Author : Xiao-Feng Pang
Publisher : World Scientific
ISBN 13 : 9812561161
Total Pages : 646 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Quantum Mechanics in Nonlinear Systems by : Xiao-Feng Pang

Download or read book Quantum Mechanics in Nonlinear Systems written by Xiao-Feng Pang and published by World Scientific. This book was released on 2005 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the history of physics and science, quantum mechanics has served as the foundation of modern science. This book discusses the properties of microscopic particles in nonlinear systems, principles of the nonlinear quantum mechanical theory, and its applications in condensed matter, polymers and biological systems.The book is essentially composed of three parts. The first part presents a review of linear quantum mechanics, as well as theoretical and experimental fundamentals that establish the nonlinear quantum mechanical theory. The theory itself and its essential features are covered in the second part. In the final part, extensive applications of this theory in physics, biology and polymer are introduced. The whole volume forms a complete system of nonlinear quantum mechanics.The book is intended for researchers, graduate students as well as upper-level undergraduates.

Quantum Collision Theory of Nonrelativistic Particles

Author : Reiner M. Dreizler
Publisher : Springer Nature
ISBN 13 : 3662655918
Total Pages : 236 pages
Book Rating : 4.6/5 (626 download)

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Book Synopsis Quantum Collision Theory of Nonrelativistic Particles by : Reiner M. Dreizler

Download or read book Quantum Collision Theory of Nonrelativistic Particles written by Reiner M. Dreizler and published by Springer Nature. This book was released on 2022-10-21 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the scattering theory of nonrelativistic systems, a standard tool for interpreting collision experiments with quantum particles at energies not too high. The goal is to explore the interaction between particles and their properties. The authors cover the basics of the theory through a detailed discussion of elastic scattering using the stationary Schrödinger equation and the Lippmann-Schwinger equation. These remarks are supplemented by a consideration of the time-dependent formulation of scattering theory. Selection rules for effective cross sections due to symmetries conditioned by the structure of the interparticle forces and the scattering of spin-polarized particles are discussed. The foundations for the treatment of inelastic processes are laid and explained by application to three-body and nucleotransfer processes. In all chapters, the more technical, mathematical aspect and the more physics-oriented explanations are separated as far as possible. The explanations are well comprehensible and suitable to introduce the reader to the physics of impact processes. This book is a translation of the original German 1st edition Streutheorie in der nichtrelativistischen Quantenmechanik by Reiner M. Dreizler, Tom Kirchner & Cora S. Lüdde, published by Springer-Verlag GmbH Germany, part of Springer Nature in 2018. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). The present version has been revised extensively with respect to technical and linguistic aspects by the authors. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.

Quantum Field Theory II: Quantum Electrodynamics

Author : Eberhard Zeidler
Publisher : Springer Science & Business Media
ISBN 13 : 3540853774
Total Pages : 1125 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Quantum Field Theory II: Quantum Electrodynamics by : Eberhard Zeidler

Download or read book Quantum Field Theory II: Quantum Electrodynamics written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 2008-09-03 with total page 1125 pages. Available in PDF, EPUB and Kindle. Book excerpt: And God said, Let there be light; and there was light. Genesis 1,3 Light is not only the basis of our biological existence, but also an essential source of our knowledge about the physical laws of nature, ranging from the seventeenth century geometrical optics up to the twentieth century theory of general relativity and quantum electrodynamics. Folklore Don’t give us numbers: give us insight! A contemporary natural scientist to a mathematician The present book is the second volume of a comprehensive introduction to themathematicalandphysicalaspectsofmodernquantum?eldtheorywhich comprehends the following six volumes: Volume I: Basics in Mathematics and Physics Volume II: Quantum Electrodynamics Volume III: Gauge Theory Volume IV: Quantum Mathematics Volume V: The Physics of the Standard Model Volume VI: Quantum Gravitation and String Theory. It is our goal to build a bridge between mathematicians and physicists based on the challenging question about the fundamental forces in • macrocosmos (the universe) and • microcosmos (the world of elementary particles). The six volumes address a broad audience of readers, including both und- graduate and graduate students, as well as experienced scientists who want to become familiar with quantum ?eld theory, which is a fascinating topic in modern mathematics and physics.

Charged-particle Interactions

Author : Hendrik Haeringen
Publisher :
ISBN 13 :
Total Pages : 700 pages
Book Rating : 4.:/5 (6 download)

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Book Synopsis Charged-particle Interactions by : Hendrik Haeringen

Download or read book Charged-particle Interactions written by Hendrik Haeringen and published by . This book was released on 1985 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Mechanics

Author : Hendrik Anthony Kramers
Publisher :
ISBN 13 :
Total Pages : 508 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Quantum Mechanics by : Hendrik Anthony Kramers

Download or read book Quantum Mechanics written by Hendrik Anthony Kramers and published by . This book was released on 1958 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Mechanics, Selected Topics

Author : Askold M Perelomov
Publisher : World Scientific
ISBN 13 : 9814495840
Total Pages : 349 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Quantum Mechanics, Selected Topics by : Askold M Perelomov

Download or read book Quantum Mechanics, Selected Topics written by Askold M Perelomov and published by World Scientific. This book was released on 1998-12-31 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: It can serve as a good supplement to any quantum mechanics textbook, filling the gap between standard textbooks and higher-level books on the one hand and journal articles on the other. This book provides a detailed treatment of the scattering theory, multidimensional quasi-classical approximation, non-stationary problems for oscillators and the theory of unstable particles. It will be useful for postgraduate students and researchers who wish to find new, interesting information hidden in the depths of non-relativistic quantum mechanics.

Problems in Quantum Mechanics

Author : F. Constantinescu
Publisher : Elsevier
ISBN 13 : 1483292940
Total Pages : 428 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Problems in Quantum Mechanics by : F. Constantinescu

Download or read book Problems in Quantum Mechanics written by F. Constantinescu and published by Elsevier. This book was released on 2013-10-22 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Series in Natural Philosophy, Volume 30: Problems in Quantum Mechanics focuses on the processes, principles, reactions, and methodologies involved in quantum mechanics. The publication first elaborates on the mathematical formalism of quantum mechanics, simple quantum systems, and mean values and uncertainty relations. Discussions focus on mean values of dynamical variables, uncertainty relations, eigenfunctions and the energy spectrum, motion in a central field, matrix representation of vectors and operators, Hubert spaces, and operators in Hilbert space. The text then takes a look at mean values and uncertainty relations, semi-classical approximation, and pictures and representations. The book takes a look at orbital angular momentum and spin, systems of identical particles, and perturbation theory. Topics include variational method, stationary state perturbation theory, isotopic spin, second quantization, properties of angular momentum operators, and angular momentum and rotations of coordinate axes. The manuscript also ponders on functions used in quantum mechanics, relativistic quantum mechanics, and radiation theory. The publication is a dependable reference for researchers interested in quantum mechanics.

Advanced Topics in Quantum Mechanics

Author : Marcos Mariño
Publisher : Cambridge University Press
ISBN 13 : 1108495877
Total Pages : 273 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Advanced Topics in Quantum Mechanics by : Marcos Mariño

Download or read book Advanced Topics in Quantum Mechanics written by Marcos Mariño and published by Cambridge University Press. This book was released on 2021-12-09 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced quantum mechanics textbook that provides a unique pedagogical introduction to high-level topics in the field.

Methods of Inverse Problems in Physics

Author : Dilip N. Ghosh Roy
Publisher : CRC Press
ISBN 13 : 9780849362583
Total Pages : 506 pages
Book Rating : 4.3/5 (625 download)

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Book Synopsis Methods of Inverse Problems in Physics by : Dilip N. Ghosh Roy

Download or read book Methods of Inverse Problems in Physics written by Dilip N. Ghosh Roy and published by CRC Press. This book was released on 1991-03-14 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interesting volume focuses on the second of the two broad categories into which problems of physical sciences fall-direct (or forward) and inverse (or backward) problems. It emphasizes one-dimensional problems because of their mathematical clarity. The unique feature of the monograph is its rigorous presentation of inverse problems (from quantum scattering to vibrational systems), transmission lines, and imaging sciences in a single volume. It includes exhaustive discussions on spectral function, inverse scattering integral equations of Gel'fand-Levitan and Marcenko, Povzner-Levitan and Levin transforms, Møller wave operators and Krein's functionals, S-matrix and scattering data, and inverse scattering transform for solving nonlinear evolution equations via inverse solving of a linear, isospectral Schrodinger equation and multisoliton solutions of the K-dV equation, which are of special interest to quantum physicists and mathematicians. The book also gives an exhaustive account of inverse problems in discrete systems, including inverting a Jacobi and a Toeplitz matrix, which can be applied to geophysics, electrical engineering, applied mechanics, and mathematics. A rigorous inverse problem for a continuous transmission line developed by Brown and Wilcox is included. The book concludes with inverse problems in integral geometry, specifically Radon's transform and its inversion, which is of particular interest to imaging scientists. This fascinating volume will interest anyone involved with quantum scattering, theoretical physics, linear and nonlinear optics, geosciences, mechanical, biomedical, and electrical engineering, and imaging research.