Operational Quantum Theory I: Nonrelativistic Structures

ISBN-13: 9780387291994 / Angielski / Twarda / 2006 / 408 str.

Heinrich Saller; H. Saller

Opis

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.

Spis treści

Spacetime Translations.- Time Representations.- Spin, Rotations, and Position.- ANTISTRUCTURES: The Real in the Complex.- Simple Lie Operations.- Rational Quantum Numbers.- Quantum Algebras.- Quantum Probability.- The Kepler Factor.

Blurb

Operational Quantum Theory I is a distinguished work on quantum theory at an advanced algebraic level. The classically oriented hierarchy with objects such as particles as the primary focus, and interactions of these objects as the secondary focus is reversed with the operational interactions as basic quantum structures. Quantum theory, specifically nonrelativistic quantum mechanics, is developed from the theory of Lie group and Lie algebra operations acting on both finite and infinite dimensional vector spaces. In this book, time and space related finite dimensional representation structures and simple Lie operations, and as a non-relativistic application, the Kepler problem which has long fascinated quantum theorists, are dealt with in some detail. Operational Quantum Theory I features many structures which allow the reader to better understand the applications of operational quantum theory, and to provide conceptually appropriate descriptions of the subject.

Operational Quantum Theory I aims to understand more deeply on an operational basis what one is working with in nonrelativistic quantum theory, but also suggests new approaches to the characteristic problems of quantum mechanics.