Equazione Di Dirac
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Equazione Di Dirac
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Author : Dalida Monti
language : it
Publisher:
Release Date : 1996
Equazione Di Dirac written by Dalida Monti and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Science categories.
The Dirac Equation
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Author : Bernd Thaller
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
The Dirac Equation written by Bernd Thaller and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Science categories.
Ever since its invention in 1929 the Dirac equation has played a fundamental role in various areas of modern physics and mathematics. Its applications are so widespread that a description of all aspects cannot be done with sufficient depth within a single volume. In this book the emphasis is on the role of the Dirac equation in the relativistic quantum mechanics of spin-1/2 particles. We cover the range from the description of a single free particle to the external field problem in quantum electrodynamics. Relativistic quantum mechanics is the historical origin of the Dirac equation and has become a fixed part of the education of theoretical physicists. There are some famous textbooks covering this area. Since the appearance of these standard texts many books (both physical and mathematical) on the non relativistic Schrodinger equation have been published, but only very few on the Dirac equation. I wrote this book because I felt that a modern, comprehensive presentation of Dirac's electron theory satisfying some basic requirements of mathematical rigor was still missing.
The Supersymmetric Dirac Equation
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Author : Allen Hirshfeld
language : en
Publisher: World Scientific
Release Date : 2012
The Supersymmetric Dirac Equation written by Allen Hirshfeld and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Science categories.
The solution of the Dirac equation for an electron in a Coulomb field is systematically treated here by utilizing new insights provided by supersymmetry. It is shown that each of the concepts has its analogue in the non-relativistic case. Indeed, the non-relativistic case is developed first, in order to introduce the new concepts in a familiar context. The symmetry of the non-relativistic model is already present in the classical limit, so the classical Kepler problem is first discussed in order to bring out the role played by the Laplace vector, one of the central concepts of the whole book. Analysis of the concept of eccentricity of the orbits turns out to be essential to understanding the relation of the classical and quantum mechanical models. The opportunity is taken to relive the great moments of physics: From Kepler''s discovery of the laws of motion of the planets, the development is traced through the Dirac equation up to modern advances, which bring the concepts of supersymmetry to bear on the derivation of the solutions.
The Dirac Equation And Its Solutions
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Author : Vladislav G. Bagrov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-08-20
The Dirac Equation And Its Solutions written by Vladislav G. Bagrov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-20 with Science categories.
The Dirac equation is of fundamental importance for relativistic quantum mechanics and quantum electrodynamics. In relativistic quantum mechanics, the Dirac equation is referred to as one-particle wave equation of motion for electron in an external electromagnetic field. In quantum electrodynamics, exact solutions of this equation are needed to treat the interaction between the electron and the external field exactly. In this monograph, all propagators of a particle, i.e., the various Green's functions, are constructed in a certain way by using exact solutions of the Dirac equation.
Nonlinear Dirac Equation Spectral Stability Of Solitary Waves
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Author : Nabile Boussaïd
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-11-21
Nonlinear Dirac Equation Spectral Stability Of Solitary Waves written by Nabile Boussaïd and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-21 with Education categories.
This monograph gives a comprehensive treatment of spectral (linear) stability of weakly relativistic solitary waves in the nonlinear Dirac equation. It turns out that the instability is not an intrinsic property of the Dirac equation that is only resolved in the framework of the second quantization with the Dirac sea hypothesis. Whereas general results about the Dirac-Maxwell and similar equations are not yet available, we can consider the Dirac equation with scalar self-interaction, the model first introduced in 1938. In this book we show that in particular cases solitary waves in this model may be spectrally stable (no linear instability). This result is the first step towards proving asymptotic stability of solitary waves. The book presents the necessary overview of the functional analysis, spectral theory, and the existence and linear stability of solitary waves of the nonlinear Schrödinger equation. It also presents the necessary tools such as the limiting absorption principle and the Carleman estimates in the form applicable to the Dirac operator, and proves the general form of the Dirac-Pauli theorem. All of these results are used to prove the spectral stability of weakly relativistic solitary wave solutions of the nonlinear Dirac equation.
The Dirac Equation In Curved Spacetime
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Author : Peter Collas
language : en
Publisher: Springer
Release Date : 2019-03-21
The Dirac Equation In Curved Spacetime written by Peter Collas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-21 with Science categories.
This book explains and develops the Dirac equation in the context of general relativistic quantum mechanics in a range of spacetime dimensions. It clarifies the subject by carefully pointing out the various conventions used and explaining how they are related to each other. The prerequisites are familiarity with general relativity and an exposure to the Dirac equation at the level of special relativistic quantum mechanics, but a review of this latter topic is given in the first chapter as a reference and framework for the physical interpretations that follow. Worked examples and exercises with solutions are provided. Appendices include reviews of topics used in the body of the text. This book should benefit researchers and graduate students in general relativity and in condensed matter.
Analysis Of Dirac Systems And Computational Algebra
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Author : Fabrizio Colombo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Analysis Of Dirac Systems And Computational Algebra written by Fabrizio Colombo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
* 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
A Mathematical Introduction To Dirac S Formalism
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Author : S.J.L. van Eijndhoven
language : en
Publisher: Elsevier
Release Date : 1986-10-01
A Mathematical Introduction To Dirac S Formalism written by S.J.L. van Eijndhoven and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-10-01 with Mathematics categories.
This monograph contains a functional analytic introduction to Dirac's formalism. The first part presents some new mathematical notions in the setting of triples of Hilbert spaces, mentioning the concept of Dirac basis. The second part introduces a conceptually new theory of generalized functions, integrating the notions of the first part. The last part of the book is devoted to a mathematical interpretation of the main features of Dirac's formalism. It involves a pairing between distributional bras and kets, continuum expansions and continuum matrices.
The Dirac Spectrum
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Author : Nicolas Ginoux
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-11
The Dirac Spectrum written by Nicolas Ginoux and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-11 with Mathematics categories.
This volume surveys the spectral properties of the spin Dirac operator. After a brief introduction to spin geometry, we present the main known estimates for Dirac eigenvalues on compact manifolds with or without boundaries. We give examples where the spectrum can be made explicit and present a chapter dealing with the non-compact setting. The methods mostly involve elementary analytical techniques and are therefore accessible for Master students entering the subject. A complete and updated list of references is also included.
The Index Formula For Dirac Operators
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Author : Levi Lopes de Lima
language : en
Publisher:
Release Date : 2003
The Index Formula For Dirac Operators written by Levi Lopes de Lima and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Dirac equation categories.