Operational Quantum Theory I: Nonrelativistic Structures (2006)

Operational Quantum Theory I is a distinguished work on quantum theory at an advanced algebraic level. Quantum theory (nonrelativistic quantum mechanics and quantum theory) is developed from a representation theory of lie group and lie algebraic operations acting on both finite and infinite dimensional vector spaces. Time and space related finite dimensional representation structures, with simple Lie operations and, as a non-relativistic application, the Kepler problem which has long fascinated quantum theorists are dealt with in some detail. This book features many equations which allow the reader to better understand the applications of operational quantum theory, and to provide accurate and precise descriptions of the subject.

Operational Quantum Theory I aims to understand more deeply on an operational basis what is already known and current developments in quantum theory, but also suggests new solutions to previously unsolved problems.