Ebook: Relativistic Quantum Mechanics. Wave Equations

Relativistic Quantum Mechanics - Wave Equations concentrates mainly on the wave equations for spin-0 and spin-1/2 particles. The first chapter deals with the Klein-Gordon equation and its properties and applications. The chapters that follow 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.

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Relativistic Quantum Mechanics - Wave Equations concentrates mainly on the wave equations for spin-0 and spin-1/2 particles. The first chapter deals with the Klein-Gordon equation and its properties and applications. The chapters that follow 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.

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Relativistic Quantum Mechanics - Wave Equations concentrates mainly on the wave equations for spin-0 and spin-1/2 particles. The first chapter deals with the Klein-Gordon equation and its properties and applications. The chapters that follow 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.
Content:
Front Matter....Pages I-XIX
Relativistic Wave Equation for Spin-0 Particles: The Klein—Gordon Equation and Its Applications....Pages 1-98
A Wave Equation for Spin-? Particles: The Dirac Equation....Pages 99-126
Lorentz Covariance of the Dirac Equation....Pages 127-148
Spinors Under Spatial Reflection....Pages 149-150
Bilinear Covariants of the Dirac Spinors....Pages 151-156
Another Way of Constructing Solutions of the Free Dirac Equation: Construction by Lorentz Transformations....Pages 157-176
Projection Operators for Energy and Spin....Pages 177-182
Wave Packets of Plane Dirac Waves....Pages 183-196
Dirac Particles in External Fields: Examples and Problems....Pages 197-260
The Two-Centre Dirac Equation....Pages 261-276
The Foldy-Wouthuysen Representation for Free Particles....Pages 277-290
The Hole Theory....Pages 291-323
Klein’s Paradox....Pages 325-332
The Weyl Equation — The Neutrino....Pages 333-345
Wave Equations for Particles with Arbitrary Spins....Pages 347-388
Lorentz Invariance and Relativistic Symmetry Principles....Pages 389-415
Back Matter....Pages 417-424

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Relativistic Quantum Mechanics - Wave Equations concentrates mainly on the wave equations for spin-0 and spin-1/2 particles. The first chapter deals with the Klein-Gordon equation and its properties and applications. The chapters that follow 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.
Content:
Front Matter....Pages I-XIX
Relativistic Wave Equation for Spin-0 Particles: The Klein—Gordon Equation and Its Applications....Pages 1-98
A Wave Equation for Spin-? Particles: The Dirac Equation....Pages 99-126
Lorentz Covariance of the Dirac Equation....Pages 127-148
Spinors Under Spatial Reflection....Pages 149-150
Bilinear Covariants of the Dirac Spinors....Pages 151-156
Another Way of Constructing Solutions of the Free Dirac Equation: Construction by Lorentz Transformations....Pages 157-176
Projection Operators for Energy and Spin....Pages 177-182
Wave Packets of Plane Dirac Waves....Pages 183-196
Dirac Particles in External Fields: Examples and Problems....Pages 197-260
The Two-Centre Dirac Equation....Pages 261-276
The Foldy-Wouthuysen Representation for Free Particles....Pages 277-290
The Hole Theory....Pages 291-323
Klein’s Paradox....Pages 325-332
The Weyl Equation — The Neutrino....Pages 333-345
Wave Equations for Particles with Arbitrary Spins....Pages 347-388
Lorentz Invariance and Relativistic Symmetry Principles....Pages 389-415
Back Matter....Pages 417-424
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