Relativistic Quantum Mechanics
Seiten
2010
Alpha Science International Ltd (Verlag)
978-1-84265-573-3 (ISBN)
Alpha Science International Ltd (Verlag)
978-1-84265-573-3 (ISBN)
Begins with the Klein-Gordon equation describing its features and motivating the need for a correct relativistic equation for the electron. This book 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.
"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.
"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.
R. Parthasarathy.: The Chennai Mathematical Institute, Chennai
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.
| Erscheint lt. Verlag | 30.1.2010 |
|---|---|
| Verlagsort | Oxford |
| Sprache | englisch |
| Maße | 160 x 240 mm |
| Gewicht | 500 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Quantenphysik |
| ISBN-10 | 1-84265-573-6 / 1842655736 |
| ISBN-13 | 978-1-84265-573-3 / 9781842655733 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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