Flora Of The Mediterranean: An Illustrated Guide Hardcover

Basak Gardner

Canonical commutation relations (CCR) and canonical anti-commutation relations (CAR) are basic principles in quantum physics including both quantum mechanics with finite degrees of freedom and quantum field theory. From a structural viewpoint, quantum physics can be primarily understood as Hilbert space representations of CCR or CAR. There are many interesting physical phenomena which can be more clearly understood from a representation-theoretical viewpoint with CCR or CAR. This book provides an introduction to representation theories of CCR and CAR in view of quantum physics. Particular emphases are put on the importance of inequivalent representations of CCR or CAR, which may be related to characteristic physical phenomena. The topics presented include general theories of representations of CCR and CAR with finite and infinite degrees of freedom, the Aharonov-Bohm effect, time operators, quantum field theories based on Fock spaces, Bogoliubov transformations, and relations of infinite renormalizations with inequivalent representations of CCR. This book can be used as a text for an advanced topics course in mathematical physics or mathematics.

9781472970268

English

Bloomsbury Wildlife

07-Jan-20

432

Jorge Ovalle is a theoretical physicist, full professor and senior researcher who has worked in several countries, investigating General Relativity (exact solutions, gravitational collapse, black holes) and High Energy Physics (superstring and supergravity theory). He has published papers in high-impact journals and developed the Minimal Geometric Deformation technique and the Gravitational Decoupling approach in General Relativity.

Christopher Gardner