A Student`s Guide to the Ising Model, James S. Walker
Автор: James S. Walker Название: A Student`s Guide to the Ising Model ISBN: 1009098519 ISBN-13(EAN): 9781009098519 Издательство: Cambridge Academ Рейтинг: Цена: 7128.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The Ising model provides a detailed mathematical description of ferromagnetism and is widely used in statistical physics and condensed matter physics. In this Student's Guide, the author demystifies the mathematical framework of the Ising model and provides students with a clear understanding of both its physical significance, and how to apply it successfully in their calculations. Key topics related to the Ising model are covered, including exact solutions of both finite and infinite systems, series expansions about high and low temperatures, mean-field approximation methods, and renormalization-group calculations. The book also incorporates plots, figures, and tables to highlight the significance of the results. Designed as a supplementary resource for undergraduate and graduate students, each chapter includes a selection of exercises intended to reinforce and extend important concepts, and solutions are also available for all exercises.
This book is a sequel to the book by the same authors entitled Theory of Groups and Symmetries: Finite Groups, Lie Groups, and Lie Algebras.
The presentation begins with the Dirac notation, which is illustrated by boson and fermion oscillator algebras and also Grassmann algebra. Then detailed account of finite-dimensional representations of groups SL(2, C) and SU(2) and their Lie algebras is presented. The general theory of finite-dimensional irreducible representations of simple Lie algebras based on the construction of highest weight representations is given. The classification of all finite-dimensional irreducible representations of the Lie algebras of the classical series sℓ(n, C), so(n, C) and sp(2r, C) is exposed.
Finite-dimensional irreducible representations of linear groups SL(N, C) and their compact forms SU(N) are constructed on the basis of the Schur-Weyl duality. A special role here is played by the theory of representations of the symmetric group algebra C Sr] (Schur-Frobenius theory, Okounkov-Vershik approach), based on combinatorics of Young diagrams and Young tableaux. Similar construction is given for pseudo-orthogonal groups O(p, q) and SO(p, q), including Lorentz groups O(1, N-1) and SO(1, N-1), and their Lie algebras, as well as symplectic groups Sp(p, q). The representation theory of Brauer algebra (centralizer algebra of SO(p, q) and Sp(p, q) groups in tensor representations) is discussed.
Finally, the covering groups Spin(p, q) for pseudo-orthogonal groups SO↑(p, q) are studied. For this purpose, Clifford algebras in spaces Rp, q are introduced and representations of these algebras are discussed.
Автор: Mezo, Istvan Название: The lambert w function ISBN: 0367766833 ISBN-13(EAN): 9780367766832 Издательство: Taylor&Francis Рейтинг: Цена: 15310.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is the very first one in the English language dedicated to the Lambert W function, its generalizations, and its applications. One goal is to promote future research on the topic. The book contains all the information one needs when trying to find a result. The most important formulas and results are framed
Автор: Gustafson Stephen J., Sigal Israel Michael Название: Mathematical Concepts of Quantum Mechanics ISBN: 3030595617 ISBN-13(EAN): 9783030595616 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
1 Physical Background.- 2 Dynamics.- 3 Observables.- 4 Quantization.- 5 Uncertainty Principle and Stability of Atoms and Molecules.- 6 Spectrum and Dynamics.- 7 Special Cases.- 8 Bound States and Variational Principle.- 9 Scattering States.- Existence of Atoms and Molecules.- 11 Perturbation Theory: Feshbach-Schur Method.- 12 Born-Oppenheimer Approximation and Adiabatic Dynamics.- 13 General Theory of Many-particle Systems.- 14 Self-consistent Approximations.- 15 The Feynman Path Integral.- 16 Semi-classical Analysis.- 17 Resonances.- 18 Quantum Statistics.- 19 Open Quantum Systems.- 20 The Second Quantization.- 21 Quantum Electro-Magnetic Field - Photons.- 22 Standard Model of Non-relativistic Matter and Radiation.- 23 Theory of Radiation.- 24 Renormalization Group.- 25 Mathematical Supplement: Spectral Analysis.- 26 Mathematical Supplement: The Calculus of Variations.- 27 Comments on Literature, and Further Reading.- References.- Index.
Автор: Martin, Keye Название: Disorder in domain theory ISBN: 1643272713 ISBN-13(EAN): 9781643272719 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 5405.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Domain theory, a subject that arose as a response to natural concerns in the semantics of computation, studies ordered sets which possess an unusual amount of mathematical structure. This book explores its connection with quantum information science and the concept that relates them: disorder.
Автор: Grabe, Michael Название: Truth and traceability in physics and metrology ISBN: 1643270974 ISBN-13(EAN): 9781643270975 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 9286.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Discusses a new error concept dispensing with the common practice to randomize unknown systematic errors. Instead, unknown systematic errors are treated as what they physically are - namely as constants being unknown with respect to magnitude and sign.
Автор: Kiss Istvбn Z., Miller Joel C., Simon Pйter L. Название: Mathematics of Epidemics on Networks: From Exact to Approximate Models ISBN: 3319844946 ISBN-13(EAN): 9783319844947 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook provides an exciting new addition to the area of network science featuring a stronger and more methodical link of models to their mathematical origin and explains how these relate to each other with special focus on epidemic spread on networks. The content of the book is at the interface of graph theory, stochastic processes and dynamical systems. The authors set out to make a significant contribution to closing the gap between model development and the supporting mathematics. This is done by: * Summarising and presenting the state-of-the-art in modeling epidemics on networks with results and readily usable models signposted throughout the book; * Presenting different mathematical approaches to formulate exact and solvable models; * Identifying the concrete links between approximate models and their rigorous mathematical representation; * Presenting a model hierarchy and clearly highlighting the links between model assumptions and model complexity; * Providing a reference source for advanced undergraduate students, as well as doctoral students, postdoctoral researchers and academic experts who are engaged in modeling stochastic processes on networks; * Providing software that can solve differential equation models or directly simulate epidemics on networks. Replete with numerous diagrams, examples, instructive exercises, and online access to simulation algorithms and readily usable code, this book will appeal to a wide spectrum of readers from different backgrounds and academic levels. Appropriate for students with or without a strong background in mathematics, this textbook can form the basis of an advanced undergraduate or graduate course in both mathematics and other departments alike.
Автор: Vermeer, Martin Rasila, Antti (guandong Technion - Israel Institute Of Technology) Название: Map of the world ISBN: 1032177543 ISBN-13(EAN): 9781032177540 Издательство: Taylor&Francis Рейтинг: Цена: 5970.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mathematical Geodesy refers to the calculus of observation, the validation of measurements and mathematical models, and the analysis of spatial and temporal phenomena in geosciences, i.e. about parameter estimation, testing and reliability, and about interpolation and prediction.
Автор: Albert Gyr; Wolfgang Kinzelbach; Arkady Tsinober Название: Fundamental Problematic Issues in Turbulence ISBN: 3034897308 ISBN-13(EAN): 9783034897303 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A collection of contributions on a variety of mathematical, physical and engineering subjects related to turbulence. Topics include mathematical issues, control and related problems, observational aspects, two- and quasi-two-dimensional flows, basic aspects of turbulence modeling, statistical issues and passive scalars.
Автор: Israel D. Vagner; B.I. Lembrikov; Peter Rudolf Wyd Название: Electrodynamics of Magnetoactive Media ISBN: 3642078257 ISBN-13(EAN): 9783642078255 Издательство: Springer Рейтинг: Цена: 26552.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The main part of the book describes the behaviour of a charged particle in an electromagnetic field, and the electrodynamics of plasmas, liquid crystals and superconductors.
Описание: This thesis elucidates electron correlation effects in topological matter whose electronic states hold nontrivial topological properties robust against small perturbations.
Описание: Describes the acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. This title deals with the fundamental three laws of motion and the law of universal gravity. It is suitable for scientists, scholars, and students.
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