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The Dirac Spectrum, Nicolas Ginoux


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Автор: Nicolas Ginoux
Название:  The Dirac Spectrum
ISBN: 9783642015694
Издательство: Springer
Классификация:

ISBN-10: 3642015697
Обложка/Формат: Paperback
Страницы: 156
Вес: 0.26 кг.
Дата издания: 15.06.2009
Серия: Lecture Notes in Mathematics
Язык: English
Размер: 234 x 156 x 10
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Surveys the spectral properties of the spin Dirac operator. Introducing spin geometry, this title presents the main known estimates for Dirac eigenvalues on compact manifolds with or without boundaries. It gives examples where the spectrum can be made explicit and also presents a chapter dealing with the non-compact setting.


Spectrum of hyperbolic surfaces

Автор: Bergeron, Nicolas
Название: Spectrum of hyperbolic surfaces
ISBN: 3319276646 ISBN-13(EAN): 9783319276649
Издательство: Springer
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Цена: 8384.00 р.
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Описание:

This text is an introduction to the spectral theory of the Laplacian on compact or finite area hyperbolic surfaces. For some of these surfaces, called "arithmetic hyperbolic surfaces", the eigenfunctions are of arithmetic nature, and one may use analytic tools as well as powerful methods in number theory to study them.

After an introduction to the hyperbolic geometry of surfaces, with a special emphasis on those of arithmetic type, and then an introduction to spectral analytic methods on the Laplace operator on these surfaces, the author develops the analogy between geometry (closed geodesics) and arithmetic (prime numbers) in proving the Selberg trace formula. Along with important number theoretic applications, the author exhibits applications of these tools to the spectral statistics of the Laplacian and the quantum unique ergodicity property. The latter refers to the arithmetic quantum unique ergodicity theorem, recently proved by Elon Lindenstrauss.

The fruit of several graduate level courses at Orsay and Jussieu, The Spectrum of Hyperbolic Surfaces allows the reader to review an array of classical results and then to be led towards very active areas in modern mathematics.

Analysis of Dirac Systems and Computational Algebra

Автор: Fabrizio Colombo; Irene Sabadini; Franciscus Somme
Название: Analysis of Dirac Systems and Computational Algebra
ISBN: 1461264693 ISBN-13(EAN): 9781461264699
Издательство: Springer
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Цена: 6986.00 р.
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Описание:

* The main treatment is devoted to the analysis of systems of linear partial differential equations (PDEs) with constant coefficients, focusing attention on null solutions of Dirac systems

* All the necessary classical material is initially presented

* Geared toward graduate students and researchers in (hyper)complex analysis, Clifford analysis, systems of PDEs with constant coefficients, and mathematical physics

The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator

Автор: J.J. Duistermaat
Название: The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator
ISBN: 1461253462 ISBN-13(EAN): 9781461253464
Издательство: Springer
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Цена: 11173.00 р.
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Описание: for two weeks in October 1994, Victor Guillemin made me enthusiastic about a problem in symplectic geometry which involved the use of the so-called spin-c Dirac operator. I thank the Editorial Board of Birkhauser, especially Haim Brezis, for sug- gesting the publication of these notes as a book.

Dirac Kets, Gamow Vectors and Gel`fand Triplets

Автор: Arno Bohm; Arno Bohm; J.D. Dollard; Manuel Gadella
Название: Dirac Kets, Gamow Vectors and Gel`fand Triplets
ISBN: 3662137518 ISBN-13(EAN): 9783662137512
Издательство: Springer
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Цена: 11753.00 р.
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Описание: The results are then deepened by giving the analytic tools, such as the Hardy class function and Hilbert and Mellin transforms, needed in applications to physical problems. Applications are given to physical theories of such phenomena as decaying states and resonances.

Sturm—Liouville and Dirac Operators

Автор: Levitan; I.S. Sargsjan
Название: Sturm—Liouville and Dirac Operators
ISBN: 0792309928 ISBN-13(EAN): 9780792309925
Издательство: Springer
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Цена: 15372.00 р.
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Описание: 'Et moi, ...- si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point allC: .' human. race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'ttre of this series.

The Many Faces of Maxwell, Dirac and Einstein Equations

Автор: Waldyr A. Rodrigues; Edmundo C. Oliveira
Название: The Many Faces of Maxwell, Dirac and Einstein Equations
ISBN: 3642090389 ISBN-13(EAN): 9783642090387
Издательство: Springer
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Цена: 16070.00 р.
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Описание: This book is a comprehensive reference on differential geometry. It shows that Maxwell, Dirac and Einstein fields, which were originally considered objects of a very different mathematical nature, have representatives as objects of the same mathematical nature. The book also analyzes some foundational issues of relativistic field theories.

The Many Faces of Maxwell, Dirac and Einstein Equations

Автор: Waldyr A. Rodrigues, Jr; Edmundo Capelas de Olivei
Название: The Many Faces of Maxwell, Dirac and Einstein Equations
ISBN: 3319276360 ISBN-13(EAN): 9783319276366
Издательство: Springer
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Цена: 12577.00 р.
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Описание: This book is an exposition of the algebra and calculus of differentialforms, of the Clifford and Spin-Clifford bundle formalisms, and of vistas to aformulation of important concepts of differential geometry indispensable for anin-depth understanding of space-time physics.The formalism discloses the hidden geometrical nature of spinor fields.


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