Classical and special relativity at the core of quantum mechanics, M. Kirchbach.
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The book puts the emphasis on the mathematical aspects
of the principle of relativity in contemporary physics
and its systematic implementation in quantum mechanical
phenomena.
For this purpose, mechanics is studied in detail and shown to restrict the reference frames to such related to each other by transformations constituting the Galilean group. The later is built up step by step by first introducing the elements of the groups of translations and rotations as transformations between Newton's law conserving reference frames, and then upgrading them by the Galilean boosts for the sake of describing the energy transformation properties. The chapters include the basic concepts of group theory, the Lorentz transformations and the Poincaré principle of relativity, Minkowski's four-vector formalism, the relativistic Doppler shift and aberration, the hyperbolic Lobachevsky-Bolyai nature of space-time, the Thomas-Wigner rotation, the universality of the electron gyromagnetic ratio, relativistic electrodynamics and the basic ideas of nucleo-synthesis are outlined. | ||