Relativistic quantum mechanics - Wave equations concentrates mainly on the wave equations for spin-O and spin-1/2 particles. The first chapter deals with...
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Résumé
Relativistic quantum mechanics - Wave equations concentrates mainly on the wave equations for spin-O and spin-1/2 particles. The first chapter deals with the Klein-Gordon equation and its properties and applications. The chapters that follows introduce the Dirac equation, investigate its covariance properties, and present various approaches to obtaining solutions. Numerous applications are discussed in detail, including the two-centre Dirac equation, hole theory, CPT symmetry, Klein's paradox, and relativistic symmetry principles. Relativistic wave equations for higher spin (Proca, Rarita-Schwinger, and Bargmann-Wigner) are also presented. The extensive presentation of the mathematical tools and the 62 worked examples and problems make this a unique text for an advanced quantum mechanics course.
This third edition has been slightly revised to bring the text up-to-date.
Sommaire
Relativistic wave equation for spin-0 particles: the Klein-Gordon equation and its applications
A wave equation for spin-1/2 particles: the Dirac equation
Lorentz covariance of the Dirac equation
Spinors under spatial reflection
Bilinear covariants of the Dirac spinors
Another way of constructing solutions of the free Dirac equation: construction by Lorentz transformations
Projection operators for energy and spin
Wave packets of plane Dirac waves
Dirac particles in external fields: examples and problems
The two-centre Dirac equation
The Foldy-Wouthuysen representation for free particles
The hole theory
Klein's paradox
The Weyl equation - the neutrino
Wave equations for particles with arbitrary spins
Lorentz invariance and relativistic symmetry principles