An Introduction to Covariant Quantum Mechanics

English | 2022 | ISBN: 3030895882 | 831 pages | True PDF EPUB | 75.49 MB
This bookdeals with an original contribution to the hypothetical missing link unifying the two fundamental branches ofphysics born in the twentieth century, General Relativity andQuantum Mechanics. Namely, the book is devoted to a review of a "covariant approach" to Quantum Mechanics, along with several improvements and new results with respect to the previous related literature. The first part of the book deals with a covariant formulation of Galilean Classical Mechanics, which stands as a suitable background for covariant Quantum Mechanics. The second part deals with an introductionto covariant Quantum Mechanics. Further,in order toshow how the presented covariant approach works in the framework of standard Classical Mechanics and standard Quantum Mechanics, the third part provides a detailed analysis of the standard Galilean space-time, along with three dynamical classical and quantum examples. The appendix accounts for several non-standard mathematical methods widely used in the body of the book.