978-81-8487-004-6 Publication Year: Reprint 2017
Pages: 220 Binding: Paper Back
About the book
Relativistic Quantum Mechanics begins with the Klein-Gordon equation describing its features and motivating the need for a correct relativistic equation for the electron. It then introduces the Dirac equation by linearizing the second order relativistic equation which reveals the spin, spin magnetic moment and the spin-orbit coupling of the electron. After demonstrating the relativistic covariance of the Dirac equation, the discrete transformations of the Dirac spinor, are explained. The Dirac equation for a free electron and an electron in hydrogen atom are solved – these solutions are used to interpret the negative energy states in the ‘hole theory’ of Dirac. As applications of the Dirac equation, the scattering of electrons by a Coulomb potential is given in detail and extended to electron-proton scattering. As a further application, the Dirac equation with zero mass is considered to describe the neutrino. The chapter on neutrinos contains a brief description of ‘neutrino oscillations’. The book ends with giving an elementary treatment of spin manifolds with illustrative examples.
• Self-contained and clear presentation
• Exercises along with the text
• Problems at the end of most of the chapters
Preface / Klein-Gordon Equation / Dirac Equation / Relativistic Covariance of the Dirac Equation / Solutions to the Dirac Equation / Helicity, Velocity Operators in Dirac’s Theory / Hole Theory of Dirac / Scattering in Dirac Theory / The Neutrino / Some Formal Aspects of Dirac Theory / Suggested Reading / Index.
Undergraduate and Postgraduate Students and Researchers