Using Mathematica for Quantum Mechanics, Roman Schmied
Автор: Sadri Hassani Название: Mathematical Physics: A Modern Introduction To Its Foundations ISBN: 3319011944 ISBN-13(EAN): 9783319011943 Издательство: Springer Рейтинг: Цена: 86310.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book is for physics students interested in the mathematics they use and for mathematics students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation tries to strike a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.
The book is divided into eight parts: The first covers finite- dimensional vector spaces and the linear operators defined on them. The second is devoted to infinite-dimensional vector spaces, and includes discussions of the classical orthogonal polynomials and of Fourier series and transforms. The third part deals with complex analysis, including complex series and their convergence, the calculus of residues, multivalued functions, and analytic continuation. Part IV treats ordinary differential equations, concentrating on second-order equations and discussing both analytical and numerical methods of solution. The next part deals with operator theory, focusing on integral and Sturm--Liouville operators. Part VI is devoted to Green's functions, both for ordinary differential equations and in multidimensional spaces. Parts VII and VIII contain a thorough discussion of differential geometry and Lie groups and their applications, concluding with Noether's theorem on the relationship between symmetries and conservation laws.
Intended for advanced undergraduates or beginning graduate students, this comprehensive guide should also prove useful as a refresher or reference for physicists and applied mathematicians. Over 300 worked-out examples and more than 800 problems provide valuable learning aids.
Numerous enhancements and revision are incorporated into this new edition. For example, fiber bundle techniques are used to introduce differential geometry. This more elegant and intuitive approach naturally connects differential geometry with not only the general theory of relativity, but also gauge theories of fundamental forces.
Some praise for the previous edition:
PAGEOPH Pure and Applied Geophysics]
Review by Daniel Wojcik, University of Maryland
"This volume should be a welcome addition to any collection. The book is well written and explanations are usually clear. Lives of famous mathematicians and physicists are scattered within the book. They are quite extended, often amusing, making nice interludes. Numerous exercises help the student practice the methods introduced. ... I have recently been using this book for an extended time and acquired a liking for it. Among all the available books treating mathematical methods of physics this one certainly stands out and assuredly it would suit the needs of many physics readers."
ZENTRALBLATT MATH
Review by G.Roepstorff, University of Aachen, Germany
..". Unlike most existing texts with the same emphasis and audience, which are merely collections of facts and formulas, the present book is more systematic, self-contained, with a level of presentation that tends to be more formal and abstract. This entails proving a large number of theorems, lemmas, and corollaries, deferring most of the applications that physics students might be interested in to the example sections in small print. Indeed, there are 350 worked-out examples and about 850 problems. ... A very nice feature is the way the author intertwines the formalism with the life stories and anecdotes of some mathematicians and physicists, leading at their times. As is often the case, the historical view point helps to understand and appreciate the ideas presented in the text. ... For the physics studen
Автор: Alexander S. Holevo Название: Quantum Systems, Channels, Information: A Mathematical Introduction ISBN: 311027325X ISBN-13(EAN): 9783110273250 Издательство: Walter de Gruyter Цена: 112770.00 T Наличие на складе: Есть Описание: The main emphasis of this work is the mathematical theory of quantum channels and their entropic and information characteristics. Quantum information theory is one of the key research areas, since it leads the way to vastly increased computing speeds by using quantum systems to store and process information. Quantum cryptography allows for secure communication of classified information. Research in the field of quantum informatics, including quantum information theory, is in progress in leading scientific centers throughout the world.The past years were marked with impressive progress made by several researchers in solution of some difficult problems, in particular, the additivity of the entropy characteristics of quantum channels. This suggests a need for a book that not only introduces the basic concepts of quantum information theory, but also presents in detail some of the latest achievements.
Автор: Bengtsson Ingemar Название: Geometry of Quantum States ISBN: 1107026253 ISBN-13(EAN): 9781107026254 Издательство: Cambridge Academ Рейтинг: Цена: 91860.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The second edition of a book that has become a standard reference for researchers working on geometric aspects of quantum entanglement and quantum theory of information. Its comprehensive style makes it suitable for students of physics, information science, and mathematics wishing to learn more about quantum mechanics and quantum entanglement.
Автор: Sujaul Chowdhury, Ponkog Kumar Das Название: Numerical Solutions of Initial Value Problems Using Mathematica ISBN: 1681749777 ISBN-13(EAN): 9781681749778 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 56370.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book contains a detailed account of numerical solutions of differential equations of elementary problems of Physics using Euler and 2nd order Runge-Kutta methods and Mathematica 6.0. The problems are motion under constant force (free fall), motion under Hooke's law force (simple harmonic motion), motion under combination of Hooke's law force and a velocity dependent damping force (damped harmonic motion) and radioactive decay law. Also included are uses of Mathematica in dealing with complex numbers, in solving system of linear equations, in carrying out differentiation and integration, and in dealing with matrices.
Автор: Steeb Willi-Hans & Hardy Yorick Название: Quantum Mechanics Using Computer Algebra: Includes Sample Programs In C++, Symbolicc++, Maxima, Maple, And Mathematica (2Nd Edition) ISBN: 9814307165 ISBN-13(EAN): 9789814307161 Издательство: World Scientific Publishing Рейтинг: Цена: 64410.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Solving problems in quantum mechanics is an essential skill and research activity for physicists, mathematicians, engineers and others. This book collects some of the standard and advanced methods in quantum mechanics and implements them using Symbolic C++ and Maxima, two popular computer algebra packages.
Автор: Andreas Knauf; Jochen Denzler Название: Mathematical Physics: Classical Mechanics ISBN: 366255772X ISBN-13(EAN): 9783662557723 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior.
Автор: Kulp Christopher W., Pagonis Vasilis Название: Classical Mechanics: A Computational Approach with Examples Using Mathematica and Python ISBN: 1138495174 ISBN-13(EAN): 9781138495173 Издательство: Taylor&Francis Рейтинг: Цена: 224570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Classical Mechanics: a Computational Approach provides a contemporary introduction to classical mechanics. As well as providing clear and thorough coverage of key topics, this book includes integrated treatment of computation.
Автор: Wazwaz Abdul-Majid Название: First Course In Integral Equations, A (Second Edition) ISBN: 9814675121 ISBN-13(EAN): 9789814675123 Издательство: World Scientific Publishing Рейтинг: Цена: 42240.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations.
Автор: Watrous, John (university Of Waterloo, Ontario) Название: The theory of quantum information ISBN: 1107180562 ISBN-13(EAN): 9781107180567 Издательство: Cambridge Academ Рейтинг: Цена: 77090.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.
Автор: Pietro Giuseppe Fre, Alexander Fedotov Название: Groups and Manifolds: Lectures for Physicists with Examples in Mathematica ISBN: 3110551195 ISBN-13(EAN): 9783110551198 Издательство: Walter de Gruyter Цена: 99110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories. The core of the course is focused on the construction of simple Lie algebras, emphasizing the double interpretation of the ADE classification as applied to finite rotation groups and to simply laced simple Lie algebras. Unique features of this book are the full-fledged treatment of the exceptional Lie algebras and a rich collection of MATHEMATICA Notebooks implementing various group theoretical constructions.
Автор: Sujaul Chowdhury, Ponkog Kumar Das Название: Numerical Solutions of Initial Value Problems Using Mathematica ISBN: 1681749734 ISBN-13(EAN): 9781681749730 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 36030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book contains a detailed account of numerical solutions of differential equations of elementary problems of Physics using Euler and 2nd order Runge-Kutta methods and Mathematica 6.0. The problems are motion under constant force (free fall), motion under Hooke's law force (simple harmonic motion), motion under combination of Hooke's law force and a velocity dependent damping force (damped harmonic motion) and radioactive decay law. Also included are uses of Mathematica in dealing with complex numbers, in solving system of linear equations, in carrying out differentiation and integration, and in dealing with matrices.
Автор: Romano, Antonio Marasco, Addolorata Название: Classical mechanics with mathematica ISBN: 3319775944 ISBN-13(EAN): 9783319775944 Издательство: Springer Рейтинг: Цена: 53100.00 T Наличие на складе: Поставка под заказ. Описание: This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject.
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