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Author : Luis Verde-Star
Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.:/5 (89 download)
Download or read book Infinite Matrices and Representation of Linear Operators Commuting with Shifts written by Luis Verde-Star and published by . This book was released on 1977 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Albert Messiah
Publisher : Courier Corporation
ISBN 13 : 048678455X
Total Pages : 1156 pages
Book Rating : 4.4/5 (867 download)
Download or read book Quantum Mechanics written by Albert Messiah and published by Courier Corporation. This book was released on 2014-02-17 with total page 1156 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This volume serves as a text for advanced undergraduates and graduate students of physics as well as a reference for professionals. Clear in its presentation and scrupulous in its attention to detail, the treatment orginally appeared in a two-volume French edition."--Back cover.
Author : N.K. Nikol'skii
Publisher : Springer Science & Business Media
ISBN 13 : 3642701515
Total Pages : 496 pages
Book Rating : 4.6/5 (427 download)
Download or read book Treatise on the Shift Operator written by N.K. Nikol'skii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an elementary introduction to non-classical spectral theory. Mter the basic definitions and a reduction to the study of the functional model the discussion will be centered around the simplest variant of such a model which, formally speaking, comprises only the class of contraction operators with a one dimensional rank of non-unitarity (rank(I - T*T) = rank(I - TT*) = 1). The main emphasis is on the technical side of the subject, the book being mostly devoted to a development of the analytical machinery of spectral theory rather than to this discipline itself. The functional model of Sz. -Nagy and Foia§ re duces the study of general operators to an investigation of the . compression T=PSIK of the shift operator S, Sf = zf, onto coinvariant subspaces (i. e. subspaces in variant with respect to the adjoint shift S*). In the main body of the book (the "Lectures" in the proper meaning of the word) this operator acts on the Hardy space H2 and is itself a part of the operator of multiplication by the independent variable in the space L2 (in the case at hand L2 means L2(lf), If being the unit circle), this operator again being fundamental for classical spectral theory.
Author :
Publisher :
ISBN 13 :
Total Pages : 638 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1995 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas F. Jordan
Publisher : Courier Corporation
ISBN 13 : 0486140547
Total Pages : 162 pages
Book Rating : 4.4/5 (861 download)
Download or read book Linear Operators for Quantum Mechanics written by Thomas F. Jordan and published by Courier Corporation. This book was released on 2012-09-20 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduates and graduate students, this compact treatment examines linear space, functionals, and operators; diagonalizing operators; operator algebras; and equations of motion. 1969 edition.
Author : John L. Powell
Publisher : Courier Dover Publications
ISBN 13 : 0486794598
Total Pages : 516 pages
Book Rating : 4.4/5 (867 download)
Download or read book Quantum Mechanics written by John L. Powell and published by Courier Dover Publications. This book was released on 2015-06-17 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Suitable for advanced undergraduates, this thorough text explores the origins of quantum theory and foundations of wave mechanics as well as wave packets and the uncertainty principle, the Schrèodinger equation, and one-dimensional problems. Additional topics include operators and eigenfunctions, scattering theory, matrix mechanics, angular momentum and spin, perturbation theory, and identical particles"--
Author : Marshall Harvey Stone
Publisher : American Mathematical Soc.
ISBN 13 : 0821810154
Total Pages : 632 pages
Book Rating : 4.8/5 (218 download)
Download or read book Linear Transformations in Hilbert Space and Their Applications to Analysis written by Marshall Harvey Stone and published by American Mathematical Soc.. This book was released on 1932-12-31 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M.S. Livsic
Publisher : Springer Science & Business Media
ISBN 13 : 940158561X
Total Pages : 329 pages
Book Rating : 4.4/5 (15 download)
Download or read book Theory of Commuting Nonselfadjoint Operators written by M.S. Livsic and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considering integral transformations of Volterra type, F. Riesz and B. Sz.-Nagy no ticed in 1952 that [49]: "The existence of such a variety of linear transformations, having the same spectrum concentrated at a single point, brings out the difficulties of characterization of linear transformations of general type by means of their spectra." Subsequently, spectral analysis has been developed for different classes of non selfadjoint operators [6,7,14,20,21,36,44,46,54]. It was then realized that this analysis forms a natural basis for the theory of systems interacting with the environment. The success of this theory in the single operator case inspired attempts to create a general theory in the much more complicated case of several commuting operators with finite-dimensional imaginary parts. During the past 10-15 years such a theory has been developed, yielding fruitful connections with algebraic geometry and sys tem theory. Our purpose in this book is to formulate the basic problems appearing in this theory and to present its main results. It is worth noting that, in addition to the joint spectrum, the corresponding algebraic variety and its global topological characteristics play an important role in the classification of commuting operators. For the case of a pair of operators these are: 1. The corresponding algebraic curve, and especially its genus. 2. Certain classes of divisors - or certain line bundles - on this curve.
Author : Ralph E. Christoffersen
Publisher : Springer Science & Business Media
ISBN 13 : 1468463608
Total Pages : 698 pages
Book Rating : 4.4/5 (684 download)
Download or read book Basic Principles and Techniques of Molecular Quantum Mechanics written by Ralph E. Christoffersen and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: New textbooks at all levels of chemistry appear with great regularity. Some fields like basic biochemistry, organic reaction mechanisms, and chemical thermody namics are well represented by many excellent texts, and new or revised editions are published sufficiently often to keep up with progress in research. However, some areas of chemistry, especially many of those taught at the graduate level, suffer from a real lack of up-to-date textbooks. The most serious needs occur in fields that are rapidly changing. Textbooks in these subjects usually have to be written by scientists actually involved in the research which is advancing the field. It is not often easy to persuade such individuals to set time aside to help spread the knowledge they have accumulated. Our goal, in this series, is to pinpoint areas of chemistry where recent progress has outpaced what is covered in any available textbooks, and then seek out and persuade experts in these fields to produce relatively concise but instructive introductions to their fields. These should serve the needs of one semester or one quarter graduate courses in chemistry and biochemistry. In some cases, the availability of texts in active research areas should help stimulate the creation of new courses. New York, New York CHARLES R. CANTOR Preface This book is not a traditional quantum chemistry textbook. Instead, it represents a concept that has evolved from teaching graduate courses in quantum chemistry over a number of years, and encountering students with diverse backgrounds.
Author : Nika Novak
Publisher :
ISBN 13 :
Total Pages : 98 pages
Book Rating : 4.:/5 (755 download)
Download or read book Products and sums of quasi-nilpotent operators written by Nika Novak and published by . This book was released on 2008 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the thesis products and sums of nilpotent operators, square-zero operators and quasi-nilpotent operators are studied. We consider square matrices over arbitrary field, linear bounded operators on an infinite-dimensional, separable, complex Hilbert space and in some cases linear transformations on an infinite-dimensional vector space. In the first part of the thesis we present products of two or more nilpotent operators. Every singular matrix that is not $2 \times 2$ non zero nilpotent can be written as a product of two nilpotent matrices. A necessary and sufficient condition for an operator to be a product of two nilpotent operators on an infinite-dimensional Hilbert space is that its kernel and its co-kernel are infinite-dimensional. Next, we deal with products of square-zero operators. We show that a matrix $T$ is a product of two square-zero matrices if and only if the codimension of $\mathrm{ker}T \cap \mathrm{im} T$ in $\mathrm{ker}$ is greater than or equal to $\mathrm{rank} T$. In the case of operators on a Hilbert space we also find a necessary condition and a sufficient condition. Besides, we show a characterization of products of two square-zero linear transformations on an infinite-dimensional vector space. For the products of two quasi-nilpotent operators a necessary and sufficient condition is that the operator is not semi-Fredholm. We also study products of commuting nilpotent and square-zero operators. We characterize products of two commuting nilpotent matrices and linear transformations. In the case of square-zero operators we characterize products of two or more commuting square-zero matrices and operators. We also consider a question which operators can be expressed as a sum of two square-zero operators. A matrix $T$ is a sum of two square-zero matrices if and only if it is similar to $-T$. We characterize those invertible ( resp. normal) operators on a Hilbert space which are sums of two square-zero operators. We also study sums of commuting square-zero matrices and linear transformations. For sums of quasi-nilpotent operators it is shown that an operator is a sum of two quasi-nilpotent operators if and only if it is a commutator. In addition, every operator is a sum of three quasi-nilpotent operators.
Author : Leslie Hogben
Publisher : CRC Press
ISBN 13 : 1466507292
Total Pages : 1838 pages
Book Rating : 4.4/5 (665 download)
Download or read book Handbook of Linear Algebra written by Leslie Hogben and published by CRC Press. This book was released on 2013-11-26 with total page 1838 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and
Author :
Publisher :
ISBN 13 :
Total Pages : 832 pages
Book Rating : 4.F/5 ( download)
Download or read book National Union Catalog written by and published by . This book was released on 1981 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Asao Arai
Publisher : Springer Nature
ISBN 13 : 9811956782
Total Pages : 123 pages
Book Rating : 4.8/5 (119 download)
Download or read book Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields written by Asao Arai and published by Springer Nature. This book was released on 2022-10-18 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains the mathematical structures of supersymmetric quantum field theory (SQFT) from the viewpoints of functional and infinite-dimensional analysis. The main mathematical objects are infinite-dimensional Dirac operators on the abstract Boson–Fermion Fock space. The target audience consists of graduate students and researchers who are interested in mathematical analysis of quantum fields, including supersymmetric ones, and infinite-dimensional analysis. The major topics are the clarification of general mathematical structures that some models in the SQFT have in common, and the mathematically rigorous analysis of them. The importance and the relevance of the subject are that in physics literature, supersymmetric quantum field models are only formally (heuristically) considered and hence may be ill-defined mathematically. From a mathematical point of view, however, they suggest new aspects related to infinite-dimensional geometry and analysis. Therefore, it is important to show the mathematical existence of such models first and then study them in detail. The book shows that the theory of the abstract Boson–Fermion Fock space serves this purpose. The analysis developed in the book also provides a good example of infinite-dimensional analysis from the functional analysis point of view, including a theory of infinite-dimensional Dirac operators and Laplacians.
Author : Tosio Kato
Publisher : Springer Science & Business Media
ISBN 13 : 3662126788
Total Pages : 610 pages
Book Rating : 4.6/5 (621 download)
Download or read book Perturbation theory for linear operators written by Tosio Kato and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bautzer
Publisher : Birkhäuser
ISBN 13 : 3034872836
Total Pages : 499 pages
Book Rating : 4.0/5 (348 download)
Download or read book Linear Operators and Approximation / Lineare Operatoren und Approximation written by Bautzer and published by Birkhäuser. This book was released on 2012-12-06 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain the lectures presented at the Conference on Linear Operators and Approximation held at the Oberwolfach Mathematical Research In stitute, August 14-22, 1971. There were thirty-eight such lectures while four addi tional papers, subsequently submitted in writing, are also included in this volume. Two of the three lectures presented by Russian mathematicians are rendered in English, the third in Russian. Furthermore, there is areport on new and unsolved problems based upon special problem sessions, with later communications from the participants. In fact, two of the papers inc1uded are devoted to solutions of some of the problems posed. The papers have been classified according to subject matter into five chapters, but it needs little emphasis that such thematic groupings are necessarily somewhat arbitrary. Thus Chapter I on Operator Theory is concerned with linear and non linear semi-groups, structure of single operators, unitary operators, spectral and ergodic theory. Chapter Il on Topics in Functional Analysis inc1udes papers on Riesz spaces, boundedness theorems, generalized limits, and distributions. Chapter III, entitled "Approximation in Abstract Spaces", ranges from characterizations of c1asses of functions in approximation theory to approximation-theoretical topics connected with extensions to Banach (or more general) spaces. Chapter IV contains papers on harmonic analysis in connection with approximation and, finally, Chapter V is devoted to approximation by splines, algebraic polynomials, rational functions, and to Pade approximation. A large part of the general editorial work connected with these proceedings was competently handled by Miss F. Feber, while G.
Author :
Publisher :
ISBN 13 :
Total Pages : 532 pages
Book Rating : 4.3/5 (91 download)
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1987 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas Banks
Publisher : CRC Press
ISBN 13 : 0429797001
Total Pages : 548 pages
Book Rating : 4.4/5 (297 download)
Download or read book Quantum Mechanics written by Thomas Banks and published by CRC Press. This book was released on 2018-12-07 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative, advanced introduction provides a complete, modern perspective on quantum mechanics. It clarifies many common misconceptions regarding wave/particle duality and the correct interpretation of measurements. The author develops the text from the ground up, starting from the fundamentals and presenting information at an elementary level, avoiding unnecessarily detailed and complex derivations in favor of simple, clear explanations. He begins in the simplest context of a two-state system and shows why quantum mechanics is inevitable, and what its relationship is to classical mechanics. He also outlines the decoherence approach to interpreting quantum mechanics. Distinguishing features: Provides a thorough grounding in the principles and practice of quantum mechanics, including a core understanding of the behavior of atoms, molecules, solids, and light. Utilizes easy-to-follow examples and analogies to illustrate important concepts. Helps develop an intuitive sense for the field, by guiding the reader to understand how the correct formulas reduce to the non-relativistic ones. Includes numerous worked examples and problems for each chapter.
