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The Dirac Equation and its Solutions

The Dirac equation is of fundamental importance for relativistic quantum mechanics and quantum electrodynamics. In relativistic quantum;

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Nonlinear Dirac Equation

quantization with the Dirac sea hypothesis. Whereas general results about the Dirac-Maxwell and similar equations are not yet available, we can;

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The Dirac Equation

Ever since its invention in 1929 the Dirac equation has played a fundamental role in various areas of modern physics and mathematics. Its;

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Global Well-Posedness of High Dimensional Maxwell-Dirac for Small Critical Data

In this paper, the authors prove global well-posedness of the massless Maxwell-Dirac equation in the Coulomb gauge on $mathbb{R}^{1+d;

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The Dirac Equation in Curved Spacetime

This book explains and develops the Dirac equation in the context of general relativistic quantum mechanics in a range of spacetime;

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Relativistic Wave Mechanics

transformations. The second section explores particles of spin one-half in terms of spin operators, the Weyl and Dirac equations, constants of motion;

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Supersymmetric Dirac Equation

The solution of the Dirac equation for an electron in a Coulomb field is systematically treated here by utilizing new insights provided by;

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From the Lorentz Transformation to the Dirac Equation

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Paul Dirac

approach to his work. Maurice Jacob explains how Dirac was led to introduce the concept of antimatter, and its central role in modern particle;

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Paul Dirac

approach to his work. Maurice Jacob explains how Dirac was led to introduce the concept of antimatter, and its central role in modern particle;

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Algebraic Approaches to Partial Differential Equations

developed by the author in recent years and with emphasis on physical equations such as: the Maxwell equations, the Dirac equations, the KdV;

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Encyclopedia of Quantum Mechanics

Solutions of the Dirac Equation and Theoretical Validation of the Computational Unified Field Theory. The aim of this book is to serve as an;

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Gamblers in Physics

equation and the relativistic quantum mechanical Dirac Equation and carry mass, electric charge and magnetic spin at discrete values.;

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Relativistic Quantum Mechanics and Quantum Field Theory

of quantum field theory. The Klein-Gordon equation is discussed briefly and elaborately the Dirac equation, its free particle solutions and Feynman's;

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Advanced Quantum Mechanics

quantum mechanics, before the textbook concludes with a short introduction to relativistic quantum mechanics, covering the Dirac equation and a;

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Introduction to Quantum Mechanics 2

. This second volume studies SchrAdingerAs equation and its applications in the study of wells, steps and potential barriers. It examines the;

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Symmetries and Invariant Solutions to Some Nonlinear Systems

Klein-Gordon-Schrodinger equation with its generalized form, the Dullin-Gottwald-Holm Equation, the Generalized Bretherton equation with;

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Relativistic Quantum Mechanics and Field Theory of Arbitrary Spin

Dirac equation are proved. Both cases of non-zero and zero mass are considered. New useful mathematical objects, which are the pure matrix;

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Quantum Antennas

Dirac field of electrons and positrons while the free electromagnetic or photon field is built out of solutions to the wave equation with;

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Wolfgang Tillmans

) from the Dirac equation of relativistic quantum field theory.;

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Hamiltonian Methods in the Theory of Solitons

The main characteristic of this classic exposition of the inverse scattering method and its applications to soliton theory is its;

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Weyl-Dirac Theory & Our Universe

-Dirac theory, in which matter is created by geometry. In Chapter 8 an outlook of the Weyl-Dirac framework is given and its applicability to;

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Relativistic Quantum Physics

thorough and detailed treatment of the subject, beginning with the classification of particles, the Klein-Gordon equation and the Dirac equation;

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Introduction To The Standard Model Of Particle Physics For The Non-specialist, An

relatively straight and intuitive path. Groups alone are first used to arrive at a classical analog of the Dirac equation. Using elementary quantum;

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Nonlinear Diffusive Waves

This monograph deals with Burgers' equation and its generalisations. Such equations describe a wide variety of nonlinear diffusive;

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Gauge Theory and Variational Principles

fields; and the inhomogeneous field equation. Additional topics include free Dirac electron fields; interactions; calculus on frame bundle; and;

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Elements of Partial Differential Equations

equations in more than two variables, partial differential equations of the first and second orders, Laplace's equation, the wave equation, and the;

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