ON THE EIGENFUNCTIONS OF MANY-PARTICLE SYSTEMS IN QUANTUM MECHANICS PDF Download
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Author: TOSIO. KATO
Publisher:
ISBN: 9781033300190
Category :
Languages : en
Pages : 0
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Book Description
Author: TOSIO. KATO
Publisher:
ISBN: 9781033300190
Category :
Languages : en
Pages : 0
Get Book Here
Book Description
Author: Tosio Kato
Publisher:
ISBN:
Category : Technical reports
Languages : en
Pages : 42
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Book Description
Author: Tosio Kato
Publisher: Forgotten Books
ISBN: 9780332452371
Category : Science
Languages : en
Pages : 52
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Book Description
Excerpt from On the Eigenfunctions of Many-Particle Systems in Quantum Mechanics However, our results stated above show that the eigenfunctions are in general well-behaved, or at least better than previously believed, even though they are not expressible as a simple series. 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.
Author: Tosio Kato
Publisher: Nabu Press
ISBN: 9781294659730
Category :
Languages : en
Pages : 48
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Book Description
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Author: John W. Negele
Publisher: CRC Press
ISBN: 0429966474
Category : Science
Languages : en
Pages : 474
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Book Description
This book explains the fundamental concepts and theoretical techniques used to understand the properties of quantum systems having large numbers of degrees of freedom. A number of complimentary approaches are developed, including perturbation theory; nonperturbative approximations based on functional integrals; general arguments based on order parameters, symmetry, and Fermi liquid theory; and stochastic methods.
Author: Alexander L. Fetter
Publisher: Courier Corporation
ISBN: 048613475X
Category : Science
Languages : en
Pages : 626
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Book Description
Self-contained treatment of nonrelativistic many-particle systems discusses both formalism and applications in terms of ground-state (zero-temperature) formalism, finite-temperature formalism, canonical transformations, and applications to physical systems. 1971 edition.
Author: Hiroshi Isozaki
Publisher: Springer Nature
ISBN: 9819937043
Category : Science
Languages : en
Pages : 411
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Book Description
Spectral properties for Schrödinger operators are a major concern in quantum mechanics both in physics and in mathematics. For the few-particle systems, we now have sufficient knowledge for two-body systems, although much less is known about N-body systems. The asymptotic completeness of time-dependent wave operators was proved in the 1980s and was a landmark in the study of the N-body problem. However, many problems are left open for the stationary N-particle equation. Due to the recent rapid development of computer power, it is now possible to compute the three-body scattering problem numerically, in which the stationary formulation of scattering is used. This means that the stationary theory for N-body Schrödinger operators remains an important problem of quantum mechanics. It is stressed here that for the three-body problem, we have a satisfactory stationary theory. This book is devoted to the mathematical aspects of the N-body problem from both the time-dependent and stationary viewpoints. The main themes are:(1) The Mourre theory for the resolvent of self-adjoint operators(2) Two-body Schrödinger operators—Time-dependent approach and stationary approach(3) Time-dependent approach to N-body Schrödinger operators(4) Eigenfunction expansion theory for three-body Schrödinger operatorsCompared with existing books for the many-body problem, the salient feature of this book consists in the stationary scattering theory (4). The eigenfunction expansion theorem is the physical basis of Schrödinger operators. Recently, it proved to be the basis of inverse problems of quantum scattering. This book provides necessary background information to understand the physical and mathematical basis of Schrödinger operators and standard knowledge for future development.
Author: L.D. Faddeev
Publisher: Springer Science & Business Media
ISBN: 9401728321
Category : Science
Languages : en
Pages : 415
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Book Description
The last decade witnessed an increasing interest of mathematicians in prob lems originated in mathematical physics. As a result of this effort, the scope of traditional mathematical physics changed considerably. New problems es pecially those connected with quantum physics make use of new ideas and methods. Together with classical and functional analysis, methods from dif ferential geometry and Lie algebras, the theory of group representation, and even topology and algebraic geometry became efficient tools of mathematical physics. On the other hand, the problems tackled in mathematical physics helped to formulate new, purely mathematical, theorems. This important development must obviously influence the contemporary mathematical literature, especially the review articles and monographs. A considerable number of books and articles appeared, reflecting to some extend this trend. In our view, however, an adequate language and appropriate methodology has not been developed yet. Nowadays, the current literature includes either mathematical monographs occasionally using physical terms, or books on theoretical physics focused on the mathematical apparatus. We hold the opinion that the traditional mathematical language of lem mas and theorems is not appropriate for the contemporary writing on mathe matical physics. In such literature, in contrast to the standard approaches of theoretical physics, the mathematical ideology must be utmost emphasized and the reference to physical ideas must be supported by appropriate mathe matical statements. Of special importance are the results and methods that have been developed in this way for the first time.
Author: Harry L. Morrison
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 372
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Book Description
Author: Léon Hove
Publisher:
ISBN:
Category : Quantum theory
Languages : en
Pages : 272
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Book Description
