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Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics, W.-H. Steeb


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Автор: W.-H. Steeb
Название:  Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics
ISBN: 9789401062411
Издательство: Springer
Классификация: ISBN-10: 9401062412
Обложка/Формат: Soft cover
Страницы: 238
Вес: 0.36 кг.
Дата издания: 11.10.2012
Серия: Mathematics and Its Applications
Язык: English
Размер: 234 x 156 x 14
Читательская аудитория: Science
Основная тема: Theoretical, Mathematical and Computational Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book provides an introduction to Hilbert space theory, Fourier transform and wavelets, linear operators, generalized functions and quantum mechanics. Although quantum mechanics has been developed between 1925 and 1930 in the last twenty years a large number of new aspect and techniques have been introduced. The book also covers these new fields in quantum mechanics. In quantum mechanics the basic mathematical tools are the theory of Hilbert spaces, the theory of linear operators, the theory of generalized functions and Lebesgue inte- gration theory. Many excellent textbooks have been written on Hilbert space theory and linear operators in Hilbert spaces. Comprehensive surveys of this subject are given by Weidmann 68], Prugovecki 47], Yosida 69], Kato 31], Richtmyer 49], Sewell 54] and others. The theory of generalized functions is also well covered in good textbooks (Gelfand and Shilov 25], Vladimirov 67]. Furthermore numerous textbooks on quantum mechanics exist (Dirac 17], Landau and Lifshitz 36], Mes- siah 41], Gasiorowicz 24], Schiff 51], Eder 18] and others). Besides these books there are several problem books on quantum mechanics (Fliigge 22], Constantinescu and Magyari 15], ter Haar 64], Mavromatis 39], Steeb 59], Steeb 60], Steeb 61]) and others). Computer algebra implementations of quantum mechanical problems are described by Steeb 59]. Unfortunately, many standard textbooks on quantum mechanics neglect the math- ematical background. The basic mathematical tools to understand quantum me- chanics should be fully integrated into an education in quantum mechanics.


Twenty-First Century Quantum Mechanics: Hilbert Space to Qua

Автор: Fano Guido
Название: Twenty-First Century Quantum Mechanics: Hilbert Space to Qua
ISBN: 3319587315 ISBN-13(EAN): 9783319587318
Издательство: Springer
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Цена: 7965.00 р.
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Описание: Finally, progression toward quantum computation is examined in detail: if quantum computers can be made practicable, enormous enhancements in computing power, artificial intelligence, and secure communication will result.

Hilbert Space and Quantum Mechanics

Название: Hilbert Space and Quantum Mechanics
ISBN: 9814635839 ISBN-13(EAN): 9789814635837
Издательство: World Scientific Publishing
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Цена: 18216.00 р.
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Описание: Water fascinating in all its phases, forms and states of aggregation. Without it, life as we know it would not exist on Earth, for as Paracelsus stated in the 16th century water is the matrix of the world and of all its creatures. While it may appear to be a simple molecule, there is still much about it which is not fully understood. What is notably lacking is a microscopically-based understanding of the reasons for the many anomalous properties of water.This book presents lectures from the Enrico Fermi summer school Water fundamentals as the basis for understanding the environment and promoting technology held in Varenna,

Wagner`s Theory of Generalised Heaps

Автор: Christopher D. Hollings; Mark V. Lawson
Название: Wagner`s Theory of Generalised Heaps
ISBN: 3319636200 ISBN-13(EAN): 9783319636207
Издательство: Springer
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Цена: 15372.00 р.
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Описание:

1. Introduction.- 2. Viktor VladimirovichWagner (1908-1981).- 3. Wagner's work in historical context.- 4. Notes on the translations.- 5. A ternary algebraic operation in the theory of coordinate structures.- 6. On the theory of partial transformations.- 7. Generalised groups.- 8. Theory of generalised heaps and generalised groups.- 9. Generalised heaps as affine structures. - Wagner's publications. -Index.

GLIM 82: Proceedings of the International Conference on Generalised Linear Models

Автор: R. Gilchrist
Название: GLIM 82: Proceedings of the International Conference on Generalised Linear Models
ISBN: 0387907777 ISBN-13(EAN): 9780387907772
Издательство: Springer
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Цена: 12157.00 р.
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Описание: This volume of Lecture Notes in Statistics consists of the published proceedings of the first international conference to be held on the topic of generalised linear models.

Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs

Автор: Elemer E. Rosinger
Название: Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs
ISBN: 9048150930 ISBN-13(EAN): 9789048150939
Издательство: Springer
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Цена: 17742.00 р.
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Описание: This book presents a solution of the harder part of the problem of defining globally arbitrary Lie group actions on such nonsmooth entities as generalised functions. Earlier, in part 3 of Oberguggenberger & Rosinger, Lie group actions were defined globally - in the projectable case - on the nowhere dense differential algebras of generalised functions An, as well as on the Colombeau algebras of generalised functions, and also on the spaces obtained through the order completion of smooth functions, spaces which contain the solutions of arbitrary continuous nonlinear PDEs. Further details can be found in Rosinger & Rudolph, and Rosinger & Walus 1,2]. To the extent that arbitrary Lie group actions are now defined on such nonsmooth entities as generalised functions, this result can be seen as giving an ans wer to Hilbert's fifth problem, when this problem is interpreted in its original full gener- ality, see for details chapter 11.

Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics

Автор: W.-H. Steeb
Название: Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics
ISBN: 0792352319 ISBN-13(EAN): 9780792352310
Издательство: Springer
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Цена: 16977.00 р.
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Описание: A comprehensive introduction to modern quantum mechanics, emphasising the underlying Hilbert space theory and generalized function theory. All the major modern techniques and approaches used in quantum mechanics are introduced.

Generalised Thermostatistics

Автор: Jan Naudts
Название: Generalised Thermostatistics
ISBN: 1447157427 ISBN-13(EAN): 9781447157427
Издательство: Springer
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Цена: 11878.00 р.
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Описание: Presented in a clear, consistent, and deductive manner, this book offers a fresh perspective on statistical physics focused on theory, part of which is developed by the author himself, and goes on to provide numerous references to application-based texts.

Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs

Автор: Elemer E. Rosinger
Название: Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs
ISBN: 0792352327 ISBN-13(EAN): 9780792352327
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Presents global actions of arbitrary Lie groups on large classes of generalised functions by using a novel parametric approach. This volume is addressed to graduate students involved in solving linear and nonlinear partial differential equations, and in particular, dealing with the Lie group symmetries of their classical or generalised solutions.

Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders

Автор: Frankel N.
Название: Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders
ISBN: 0521497981 ISBN-13(EAN): 9780521497985
Издательство: Cambridge Academ
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Цена: 6018.00 р.
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Описание: This work presents exciting new developments in understanding the subdominant exponential terms of asymptotic expansions which have previously been neglected. All researchers interested in the fascinating area of exponential asymptotics will find this a most valuable book.

Handbook of Generalised Anxiety Disorder

Автор: Montgomery
Название: Handbook of Generalised Anxiety Disorder
ISBN: 185873441X ISBN-13(EAN): 9781858734415
Издательство: Springer
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Цена: 7406.00 р.
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Описание: The changing concept of generalised anxiety disorder.- How common is generalised anxiety disorder?.- Presenting features of generalised anxiety disorder.- Comorbidity of generalised anxiety disorder with other conditions.- Burden of generalised anxiety disorder.- Measuring the severity of generalised anxiety disorder.- Pharmacological treatments.- Psychological treatment.- Which treatments, when and for how long?.


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