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Relativistic Quantum Mechanics: A Deep Dive for Physics Enthusiasts
This textbook, based on a course delivered at the Moscow Institute of Physics and Technology, offers a rigorous exploration of relativistic quantum mechanics. It systematically covers the Dirac equation, its relativistic covariance, and the Foldy–Wouthuysen transformation. The text provides a clear interpretation of operators and delves into the quasi-relativistic approximation. A significant focus is placed on describing the spin of a relativistic electron, alongside a concise introduction to neutrino physics.
The author emphasizes physical interpretation, critically examining key challenges within Dirac’s theory, including the problem of antiparticles, Zitterbewegung (Schrödinger’s trembling motion), and the Klein paradox. Notably, the book connects these advanced concepts to modern physics by exploring the quantum mechanics of graphene, demonstrating a direct link between graphene physics and traditional relativistic quantum mechanics.
Designed for advanced undergraduate and graduate students, this resource is also valuable for any reader seeking to deepen their understanding of quantum mechanics. It stays firmly grounded in established theory, offering a scholarly perspective on both the foundational principles and the ongoing conceptual difficulties in the field.
