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Orthomodular Lattices, L. Beran


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Автор: L. Beran
Название:  Orthomodular Lattices
ISBN: 9789027717153
Издательство: Springer
Классификация:
ISBN-10: 902771715X
Обложка/Формат: Hardcover
Страницы: 394
Вес: 0.76 кг.
Дата издания: 28.02.1985
Серия: Mathematics and its Applications
Язык: English
Размер: 234 x 156 x 24
Основная тема: Computer Science
Подзаголовок: Algebraic Approach
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. Bowever, the tree of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programmi ng profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as completely integrable systems, chaos, synergetics and large-s.cale order, which are almost impossible to fit into the existing classifica- tion schemes. They draw upon widely different sections of mathe- matics.

Orthomodular Lattices

Автор: L. Beran
Название: Orthomodular Lattices
ISBN: 9401088071 ISBN-13(EAN): 9789401088077
Издательство: Springer
Рейтинг:
Цена: 102480.00 T
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Описание: Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. Bowever, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programmi ng profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-s.cale order", which are almost impossible to fit into the existing classifica- tion schemes. They draw upon widely different sections of mathe- matics.

Orthomodular Structures as Quantum Logics

Автор: Pavel Pt?k; Sylvia Pulmannov?
Название: Orthomodular Structures as Quantum Logics
ISBN: 0792312074 ISBN-13(EAN): 9780792312079
Издательство: Springer
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Цена: 174150.00 T
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Lattices, Semigroups, and Universal Algebra

Автор: Jorge Almeida; Gabriela Bordalo; Philip Dwinger
Название: Lattices, Semigroups, and Universal Algebra
ISBN: 1489926100 ISBN-13(EAN): 9781489926104
Издательство: Springer
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Цена: 139750.00 T
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Описание: Proceedings of an international conference held in Lisbon, Portugal, June 20-24, 1988

Controlling Light in Optically Induced Photonic Lattices

Автор: Bernd Terhalle
Название: Controlling Light in Optically Induced Photonic Lattices
ISBN: 3642267025 ISBN-13(EAN): 9783642267024
Издательство: Springer
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Цена: 93160.00 T
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Описание: Using the model system of a photorefractive nonlinearity, this volume presents a comprehensive picture of the control of nonlinear and quantum optics phenomena in photonic lattices. The test describes resonant transitions in two-dimensional hexagonal lattices, for the first time.

Associahedra, Tamari Lattices and Related Structures

Автор: Folkert M?ller-Hoissen; Jean Marcel Pallo; Jim Sta
Название: Associahedra, Tamari Lattices and Related Structures
ISBN: 3034807961 ISBN-13(EAN): 9783034807968
Издательство: Springer
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Цена: 93160.00 T
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Описание: Tamari lattices can be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari`s thesis. On the occasion of Dov Tamari`s centennial birthday, this book provides an introduction to topical research related to Tamari`s work and ideas.

Multi-species Systems in Optical Lattices

Автор: Pinheiro
Название: Multi-species Systems in Optical Lattices
ISBN: 3319434632 ISBN-13(EAN): 9783319434636
Издательство: Springer
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Цена: 95770.00 T
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Описание:

This highly interdisciplinary thesis covers a wide range of topics relating to the interface of cold atoms, quantum simulation, quantum magnetism and disorder. With a self-contained presentation, it provides a broad overview of the rapidly evolving area of cold atoms and is of interest to both undergraduates and researchers working in the field.
Starting with a general introduction to the physics of cold atoms and optical lattices, it extends the theory to that of systems with different multispecies atoms. It advances the theory of many-body quantum systems in excited bands (of optical lattices) through an extensive study of the properties of both the mean-field and strongly correlated regimes. Particular emphasis is given to the context of quantum simulation, where as shown here, the orbital degree of freedom in excited bands allows the study of exotic models of magnetism not easily achievable with the previous alternative systems. In addition, it proposes a new model Hamiltonian that serves as a quantum simulator of various disordered systems in different symmetry classes that can easily be reproduced experimentally. This is of great interest, especially for the study of disorder in 2D quantum systems.

Chiral Four-Dimensional Heterotic String Vacua From Covariant Lattices

Автор: Florian Beye
Название: Chiral Four-Dimensional Heterotic String Vacua From Covariant Lattices
ISBN: 9811008027 ISBN-13(EAN): 9789811008023
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book is placed at the interface between string theory and elementary particle physics and shows novel results in the search for a heterotic string vacuum that reproduces those matter particles and interactions observed in our universe. The author provides a systematic classification of potentially realistic heterotic covariant lattice vacua, which possess a lower number of moduli fields when compared to conventional compactification methods, by means of number theoretical methods. These methods, while well known to the mathematics community, have not yet found many applications to physics. They are introduced to the degree necessary to understand the computations carried out throughout this work. Furthermore, explicit covariant lattice models with particularly interesting properties are analyzed in detail. Finally, new light is shed on the relation between covariant lattice models and asymmetric orbifold compactifications, the result being a concrete correspondence between certain types of asymmetric orbifolds and those classified covariant lattices.

Anharmonic Lattices, Structural Transitions and Melting

Автор: T. Riste
Название: Anharmonic Lattices, Structural Transitions and Melting
ISBN: 9401023190 ISBN-13(EAN): 9789401023191
Издательство: Springer
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Цена: 81050.00 T
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Описание: Proceedings of the NATO Advanced Study Institute, Ustaoset Hoyfjellshotel near Geilo, Norway, April/May 1973

Banach Lattices and Positive Operators

Автор: H.H. Schaefer
Название: Banach Lattices and Positive Operators
ISBN: 3642659721 ISBN-13(EAN): 9783642659720
Издательство: Springer
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Цена: 83850.00 T
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Описание: Vector lattices-also called Riesz spaces, K-lineals, or linear lattices-were first considered by F. Riesz, L. Kantorovic, and H. Freudenthal in the middle nineteen thirties; thus their early theory dates back almost as far as the beginning of the systematic investigation of Banach spaces. Schools of research on vector lattices were subsequently founded in the Soviet Union (Kantorovic, Judin, Pinsker, Vulikh) and in Japan (Nakano, Ogasawara, Yosida); other important contri- butions came from the United States (G. Birkhoff, Kakutani, M. H. Stone). L. Kantorovic and his school first recognized the importance of studying vector lattices in connection with Banach's theory of normed vector spaces; they investigated normed vector lattices as well as order-related linear operators between such vector lattices. (Cf. Kantorovic-Vulikh-Pinsker 1950] and Vulikh 1967].) However, in the years following that early period, functional analysis and vector lattice theory began drifting more and more apart; it is my impression that "linear order theory" could not quite keep pace with the rapid development of general functional analysis and thus developed into a theory largely existing for its own sake, even though it had interesting and beautiful applications here and there.

Continuous Lattices

Автор: B. Banaschewski; R.-E. Hoffmann
Название: Continuous Lattices
ISBN: 3540108483 ISBN-13(EAN): 9783540108481
Издательство: Springer
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Цена: 46540.00 T
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Positive Operators and Semigroups on Banach Lattices

Автор: C.B. Huijsmans; Wilhelm A.J. Luxemburg
Название: Positive Operators and Semigroups on Banach Lattices
ISBN: 0792319648 ISBN-13(EAN): 9780792319641
Издательство: Springer
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Цена: 139710.00 T
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Описание: The contributions contained in this volume were presented as lectures at a conference organized by the Caribbean Mathematics Foundation and provide an overview of the present state of development in various areas of the theory of positive operators and their special properties.

Probabilistic Lattices: With Applications To Psychology

Автор: Narens Louis
Название: Probabilistic Lattices: With Applications To Psychology
ISBN: 9814630411 ISBN-13(EAN): 9789814630412
Издательство: World Scientific Publishing
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Цена: 83430.00 T
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Описание:

There are many books on lattice theory in the field, but none interfaces with the foundations of probability. This book does. It also develops new probability theories with rigorous foundations for decision theory and applies them to specific well-known problematic examples. There is only one other book that attempts this. It uses quantum probability theory from physics. The new probability theories developed in this book are different; they are not borrowed from physics but are explicitly designed for decision theory.



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