Operational Quantum Theory II: Relativistic Structures

ISBN-13: 9781489999436 / Angielski / Miękka / 2014 / 333 str.

Heinrich Saller

Opis

Operational Quantum Theory II 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. This book deals with Lorentz Group Embedding and Lorentz Operations, eseigenvalues and invariats for non-compact operations as well as harmonic analysis of noncompact nonabelian Lie groups and their homogenus spaces. Additionally, an attempt is given to understand quantum theory as a representation structure of a homogeneous spacetime model. Operational Quantum Theory II 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

Lorentz Operations.- Spacetime as Unitary Operation ClasseS.- Propagators.- Massive Particle Quantum Fields.- Massless Quantum Fields.- Gauge Interactions.- Harmonic Analysis.- Residual Spacetime Representations.- Spectrum of Spacetime.

Blurb

Operational Quantum Theory II 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 the objects as the secondary focus is reversed with the operational interactions as basic quantum structures. Quantum theory, specifically relativistic quantum field theory is developed the theory of Lie group and Lie algebra operations acting on both finite and infinite dimensional vector spaces. This book deals with the operational concepts of relativistic space time, the Lorentz and Poincaré group operations and their unitary representations, particularly the elementary articles. Also discussed are eigenvalues and invariants for non-compact operations in general as well as the harmonic analysis of noncompact nonabelian Lie groups and their homogeneous spaces. In addition to the operational formulation of the standard model of particle interactions, an attempt is made to understand the particle spectrum with the masses and coupling constants as the invariants and normalizations of a tangent representation structure of a an homogeneous space time model.

Operational Quantum Theory II aims to understand more deeply on an operational basis what one is working with in relativistic quantum field theory, but also suggests new solutions to previously unsolved problems.