Operational Quantum Theory Relativistic Structures
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Operational Quantum Theory Ii
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Author : Heinrich Saller
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-24
Operational Quantum Theory Ii written by Heinrich Saller and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-24 with Science categories.
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.
Operational Quantum Theory
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Author : Heinrich Saller
language : en
Publisher:
Release Date : 2006
Operational Quantum Theory written by Heinrich Saller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Lie algebras categories.
Operational Quantum Theory I
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Author : Heinrich Saller
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-10
Operational Quantum Theory I written by Heinrich Saller and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-10 with Science categories.
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.
Operational Quantum Theory Ii
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Author : Heinrich Saller
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-19
Operational Quantum Theory Ii written by Heinrich Saller and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-19 with Science categories.
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.
Operational Symmetries
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Author : Heinrich Saller
language : en
Publisher: Springer
Release Date : 2017-06-19
Operational Symmetries written by Heinrich Saller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-19 with Science categories.
This book describes the endeavour to relate the particle spectrum with representations of operational electroweak spacetime, in analogy to the atomic spectrum as characterizing representations of hyperbolic space. The spectrum of hyperbolic position space explains the properties of the nonrelativistic atoms; the spectrum of electroweak spacetime is hoped to explain those of the basic interactions and elementary particles. In this book, the theory of operational symmetries is developed from the numbers, from Plato’s and Kepler’s symmetries over the simple Lie groups to their applications in nonrelativistic, special relativistic and general relativistic quantum theories with the atomic spectrum for hyperbolic position and, in first attempts, the particle spectrum for electroweak spacetime. The standard model of elementary particles and interactions is characterized by a symmetry group. In general, as initiated by Weyl and stressed by Heisenberg, quantum theory can be built as a theory of operation groups and their unitary representations. In such a framework, time, position and spacetime is modeled by equivalence classes of symmetry groups. For a unification on this road, the quest is not for a final theory with a basic equation for basic particles, but for the basic operation group and its representations.
Relativistic Quantum Physics
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Author : Tommy Ohlsson
language : en
Publisher: Cambridge University Press
Release Date : 2011-09-22
Relativistic Quantum Physics written by Tommy Ohlsson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Science categories.
Quantum physics and special relativity theory were two of the greatest breakthroughs in physics during the twentieth century and contributed to paradigm shifts in physics. This book combines these two discoveries to provide a complete description of the fundamentals of relativistic quantum physics, guiding the reader effortlessly from relativistic quantum mechanics to basic quantum field theory. The book gives a thorough and detailed treatment of the subject, beginning with the classification of particles, the Klein–Gordon equation and the Dirac equation. It then moves on to the canonical quantization procedure of the Klein–Gordon, Dirac and electromagnetic fields. Classical Yang–Mills theory, the LSZ formalism, perturbation theory, elementary processes in QED are introduced, and regularization, renormalization and radiative corrections are explored. With exercises scattered through the text and problems at the end of most chapters, the book is ideal for advanced undergraduate and graduate students in theoretical physics.
Physical Theory As Logico Operational Structure
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Author : C.A. Hooker
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Physical Theory As Logico Operational Structure written by C.A. Hooker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
In two earlier volumes, entitled The Logico-Algebraic Approach to Quan tum Mechanics (hereafter LAA I, II), I have presented collections of research papers which trace out the historical development and contem porary flowering of a particular approach to physical theory. One might characterise this approach as the extraction of an abstract logico-algebraic skeleton from each physical theory and the reconstruction of the physical theory as construction of mathematical and interpretive 'flesh' (e. g. , measures, operators, mappings etc. ) on this skeleton. The idea is to show how the specific features of a theory that are easily seen in application (e. g. , 'interference' among observables in quantum mechanics) arise out of the character of its core abstract structure. In this fashion both the deeper nature of a theory (e. g. , in what precise sense quantum mechanics is strongly statistical) and the deeper differences between theories (e. g. clas sical mechanics, though also a 'mechanics', is not strongly statistical) are penetratingly illuminated. What I would describe as the 'mainstream' logico-algebraic tradition is captured in these two collections of papers (LAA I, II). The abstract, structural approach to the characterisation of physical theory has been the basis of a striking transformation, in this century, in the understanding of theories in mathematical physics. There has emerged clearly the idea that physical theories are most significantly characterised by their abstract structural components.
Structural Unification Of Quantum Mechanics And Relativity
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Author : Emile Grgin
language : en
Publisher: AuthorHouse
Release Date : 2007
Structural Unification Of Quantum Mechanics And Relativity written by Emile Grgin and has been published by AuthorHouse this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Quantum theory. categories.
Relativity Symmetry And The Structure Of The Quantum Theory
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Author : William H. Klink
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2014-04-01
Relativity Symmetry And The Structure Of The Quantum Theory written by William H. Klink and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-01 with Science categories.
Quantum theory is one of the most successful of all physical theories. Our everyday world is dominated by devices that function because of knowledge of the quantum world. Yet many, physicists and non-physicists alike, find the theory which explains the beh
Bohmian Mechanics And Quantum Theory An Appraisal
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Author : J.T. Cushing
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Bohmian Mechanics And Quantum Theory An Appraisal written by J.T. Cushing and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
We are often told that quantum phenomena demand radical revisions of our scientific world view and that no physical theory describing well defined objects, such as particles described by their positions, evolving in a well defined way, let alone deterministically, can account for such phenomena. The great majority of physicists continue to subscribe to this view, despite the fact that just such a deterministic theory, accounting for all of the phe nomena of nonrelativistic quantum mechanics, was proposed by David Bohm more than four decades ago and has arguably been around almost since the inception of quantum mechanics itself. Our purpose in asking colleagues to write the essays for this volume has not been to produce a Festschrift in honor of David Bohm (worthy an undertaking as that would have been) or to gather together a collection of papers simply stating uncritically Bohm's views on quantum mechanics. The central theme around which the essays in this volume are arranged is David Bohm's version of quantum mechanics. It has by now become fairly standard practice to refer to his theory as Bohmian mechanics and to the larger conceptual framework within which this is located as the causal quantum theory program. While it is true that one can have reservations about the appropriateness of these specific labels, both do elicit distinc tive images characteristic of the key concepts of these approaches and such terminology does serve effectively to contrast this class of theories with more standard formulations of quantum theory.