The Many Faces of Maxwell, Dirac and Einstein Equations, Waldyr A. Rodrigues; Edmundo C. Oliveira

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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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.

Автор: Nicolas Ginoux
Название: The Dirac Spectrum
ISBN: 3642015697 ISBN-13(EAN): 9783642015694
Издательство: Springer
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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.

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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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

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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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.

Автор: Levitan; I.S. Sargsjan
Название: Sturm—Liouville and Dirac Operators
ISBN: 0792309928 ISBN-13(EAN): 9780792309925
Издательство: Springer
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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.

Автор: Ana Alonso Rodriguez; Alberto Valli
Название: Eddy Current Approximation of Maxwell Equations
ISBN: 8847055849 ISBN-13(EAN): 9788847055841
Издательство: Springer
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Описание: This book deals with the mathematical analysis and the numerical approximation of eddy current problems in the time-harmonic case. It takes into account all the most used formulations, placing the problem in a rigorous functional framework.