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Author: V. A. Malyshev Robert Adol_fovich Minlos Publisher: American Mathematical Soc. ISBN: 9780821897607 Category : Mathematics Languages : en Pages : 314
Book Description
The main subject of this book can be viewed in various ways. From the standpoint of functional analysis, it studies spectral properties of a certain class of linear operators; from the viewpoint of probability theory, it is concerned with the analysis of singular Markov processes; and, from the vantage point of mathematical physics, it analyzes the dynamics of equilibrium systems in quantum statistical physics and quantum field theory. Malyshev and Minlos describe two new approaches to the subject which have not been previously treated in monograph form. They also present background material which makes the book accessible and useful to researchers and graduate students working in functional analysis, probability theory, and mathematical physics.
Author: V. A. Malyshev Robert Adol_fovich Minlos Publisher: American Mathematical Soc. ISBN: 9780821897607 Category : Mathematics Languages : en Pages : 314
Book Description
The main subject of this book can be viewed in various ways. From the standpoint of functional analysis, it studies spectral properties of a certain class of linear operators; from the viewpoint of probability theory, it is concerned with the analysis of singular Markov processes; and, from the vantage point of mathematical physics, it analyzes the dynamics of equilibrium systems in quantum statistical physics and quantum field theory. Malyshev and Minlos describe two new approaches to the subject which have not been previously treated in monograph form. They also present background material which makes the book accessible and useful to researchers and graduate students working in functional analysis, probability theory, and mathematical physics.
Author: Vadim Aleksandrovich Malyshev Publisher: American Mathematical Soc. ISBN: 9780821802830 Category : Science Languages : en Pages : 298
Book Description
The main subject of this book can be viewed in various ways. From the standpoint of functional analysis, it studies spectral properties of a certain class of linear operators; from the viewpoint of probability theory, it is concerned with the analysis of singular Markov processes; and, from the vantage point of mathematical physics, it analyzes the dynamics of equilibrium systems in quantum statistical physics and quantum field theory. Malyshev and Minlos describe two new approaches to the subject which have not been previously treated in monograph form. They also present background material which makes the book accessible and useful to researchers and graduate students working in functional analysis, probability theory, and mathematical physics.
Author: Vadim Aleksandrovich Malyshev Publisher: ISBN: 9781470445607 Category : Functional analysis Languages : en Pages :
Book Description
The main subject of this book can be viewed in various ways. From the standpoint of functional analysis, it studies spectral properties of a certain class of linear operators; from the viewpoint of probability theory, it is concerned with the analysis of singular Markov processes; and, from the vantage point of mathematical physics, it analyzes the dynamics of equilibrium systems in quantum statistical physics and quantum field theory. Malyshev and Minlos describe two new approaches to the subject which have not been previously treated in monograph form. They also present background material w.
Author: Thomas F. Jordan Publisher: Courier Corporation ISBN: 0486140547 Category : Science Languages : en Pages : 162
Book Description
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: Viktor Vasilʹevich Prasolov Publisher: American Mathematical Soc. ISBN: 0821808982 Category : Mathematics Languages : en Pages : 250
Book Description
This book is an introduction to the remarkable work of Vaughan Jones and Victor Vassiliev on knot and link invariants and its recent modifications and generalizations, including a mathematical treatment of Jones-Witten invariants. The mathematical prerequisites are minimal compared to other monographs in this area. Numerous figures and problems make this book suitable as a graduate level course text or for self-study.
Author: Vladimir I. Piterbarg Publisher: American Mathematical Soc. ISBN: 0821883313 Category : Mathematics Languages : en Pages : 222
Book Description
This book is devoted to a systematic analysis of asymptotic behavior of distributions of various typical functionals of Gaussian random variables and fields. The text begins with an extended introduction, which explains fundamental ideas and sketches the basic methods fully presented later in the book. Good approximate formulas and sharp estimates of the remainders are obtained for a large class of Gaussian and similar processes. The author devotes special attention to the development of asymptotic analysis methods, emphasizing the method of comparison, the double-sum method and the method of moments. The author has added an extended introduction and has significantly revised the text for this translation, particularly the material on the double-sum method.
Author: József Lörinczi Publisher: Walter de Gruyter ISBN: 3110203731 Category : Mathematics Languages : en Pages : 521
Book Description
This monograph offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. These ideas are then applied principally to a rigorous treatment of some fundamental models of quantum field theory. In this self-contained presentation of the material both beginners and experts are addressed, while putting emphasis on the interdisciplinary character of the subject.
Author: Pieter Naaijkens Publisher: Springer ISBN: 331951458X Category : Science Languages : en Pages : 184
Book Description
This course-based primer offers readers a concise introduction to the description of quantum mechanical systems with infinitely many degrees of freedom – and quantum spin systems in particular – using the operator algebraic approach. Here, the observables are modeled using elements of some operator algebra, usually a C*-algebra. This text introduces readers to the framework and the necessary mathematical tools without assuming much mathematical background, making it more accessible than advanced monographs. The book also highlights the usefulness of the so-called thermodynamic limit of quantum spin systems, which is the limit of infinite system size. For example, this makes it possible to clearly distinguish between local and global properties, without having to keep track of the system size. Together with Lieb-Robinson bounds, which play a similar role in quantum spin systems to that of the speed of light in relativistic theories, this approach allows ideas from relativistic field theories to be implemented in a quantum spin system. Several related cases are discussed, demonstrating the merits of the operator algebraic approach. Featuring representative worked-out examples and many exercises, this text is primarily targeted at graduate students and advanced undergraduates in theoretical physics or mathematics with a keen interest in mathematical physics. The material provides the necessary background and pointers to start exploring the recent literature. As such, it will also be useful for active researchers seeking a quick and comparatively self-contained introduction to the operator algebraic approach to quantum spin systems.
Author: V. A. Malyshev Robert Adol_fovich Minlos
Author: V. A. Malyshev Robert Adol_fovich Minlos
Author: Vadim Aleksandrovich Malyshev
Author: Vadim Aleksandrovich Malyshev
Author: Thomas F. Jordan
Author: Viktor Vasilʹevich Prasolov
Author: Ju. L. Daleckii
Author: Dmitriĭ Petrovich Zhelobenko
Author: Vladimir I. Piterbarg
Author: József Lörinczi
Author: Pieter Naaijkens