Sturm—Liouville and Dirac Operators, Levitan; I.S. Sargsjan

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: Vladimir Kozlov; Vladimir Maz`ya
Название: Theory of a Higher-Order Sturm-Liouville Equation
ISBN: 3540630651 ISBN-13(EAN): 9783540630654
Издательство: Springer
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Описание: The aim of this book is to develop a detailed theory of a generalized Sturm-Liouville equation, which includes conditions of solvability, classes of uniqueness, positivity properties of solutions, and Green`s functions, asymptotic properties of solutions at infinity.

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: 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: 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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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.