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Quaternionic Quantum Mechanics And Quantum Fields


Quaternionic Quantum Mechanics And Quantum Fields
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Quaternionic Quantum Mechanics And Quantum Fields


Quaternionic Quantum Mechanics And Quantum Fields
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Author : Stephen L. Adler
language : en
Publisher: Oxford University Press
Release Date : 1995-04-27

Quaternionic Quantum Mechanics And Quantum Fields written by Stephen L. Adler and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-04-27 with Science categories.


It has been known since the 1930s that quantum mechanics can be formulated in quaternionic as well as complex Hilbert space. But systematic work on the quaternionic extension of standard quantum mechanics has scarcely begun. Authored by a world-renowned theoretical physicist, this book signals a major conceptual advance and gives a detailed development and exposition of quaternionic quantum mechanics for the purpose of determining whether quaternionic Hilbert space is the appropriate arena for the long sought-after unification of the standard model forces with gravitation. Significant results from earlier literature, together with many new results obtained by the author, are integrated to give a coherent picture of the subject. The book also provides an introduction to the problem of formulating quantum field theories in quaternionic Hilbert space. The book concludes with a chapter devoted to discussions on where quaternionic quantum mechanics may fit into the physics of unification, experimental and measurement theory issues, and the many open questions that still challenge the field. This well-written treatise is a very significant contribution to theoretical physics. It will be eagerly read by a wide range of physicists.



Quaternionic Quantum Mechanics And Quantum Fields


Quaternionic Quantum Mechanics And Quantum Fields
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Author : Stephen L. Adler
language : en
Publisher:
Release Date : 2023

Quaternionic Quantum Mechanics And Quantum Fields written by Stephen L. Adler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Mathematical physics categories.


Presenting a conceptualization of quantum mechanics, using quaternions instead of complex numbers, the author gives a systematic treatment of quaternionic quantum mechanics paralleling the standard textbook treatment of complex quantum mechanics.



Adventures In Theoretical Physics


Adventures In Theoretical Physics
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Author : Stephen L. Adler
language : en
Publisher: World Scientific
Release Date : 2006

Adventures In Theoretical Physics written by Stephen L. Adler and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.


During the period 1964-1972, Stephen L. Adler wrote seminal papers on high energy neutrino processes, current algebras, soft pion theorems, sum rules, and perturbation theory anomalies that helped lay the foundations for our current standard model of elementary particle physics. These papers are reprinted here together with detailed historical commentaries describing how they evolved, their relation to other work in the field, and their connection to recent literature. Later important work by Dr. Adler on a wide range of topics in fundamental theory, phenomenology, and numerical methods, and their related historical background, is also covered in the commentaries and reprints. This book will be a valuable resource for graduate students and researchers in the fields in which Dr. Adler has worked, and for historians of science studying physics in the final third of the twentieth century, a period in which an enduring synthesis was achieved.



Proceedings Of The Second International A D Sakharov Conference On Physics


Proceedings Of The Second International A D Sakharov Conference On Physics
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Author : International Sakharov Conference on Physics 1996, Moscow, Russia
language : en
Publisher: World Scientific
Release Date : 1997

Proceedings Of The Second International A D Sakharov Conference On Physics written by International Sakharov Conference on Physics 1996, Moscow, Russia and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Astrophysics categories.


At the Second International A D Sakharov Conference on Physics, more than 200 physicists from many countries gathered together to celebrate what would have been the 75th birthday of the distinguished physicist and world figure Andrei Sakharov. This tradition had begun five years earlier, soon after his death.The conference was unique: it brought together leading scientists working in seemingly different fields, which were nevertheless among Sakharov's interests. Participants discussed the status and perspectives of research in high-energy physics, cosmology, astrophysics, classical and quantum gravity, plasma physics, nuclear physics, and extreme states of matter. The conference provided a unique opportunity for the participants to find and discuss common points of interest. The proceedings are evidence of the great variety of topics.Talks were given by distinguished physicists such as S Drell, L Okun, R Wilson, A D Linde, C W Misner, N A Popov, S L Adler, B DeWitt, M Kaku, J H Schwarz, A Zamolodchikov and E S Fradkin.



On The Role Of Division Jordan And Related Algebras In Particle Physics


On The Role Of Division Jordan And Related Algebras In Particle Physics
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Author : Feza Gursey
language : en
Publisher: World Scientific
Release Date : 1996-11-22

On The Role Of Division Jordan And Related Algebras In Particle Physics written by Feza Gursey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-22 with Science categories.


This monograph surveys the role of some associative and non-associative algebras, remarkable by their ubiquitous appearance in contemporary theoretical physics, particularly in particle physics. It concerns the interplay between division algebras, specifically quaternions and octonions, between Jordan and related algebras on the one hand, and unified theories of the basic interactions on the other. Selected applications of these algebraic structures are discussed: quaternion analyticity of Yang-Mills instantons, octonionic aspects of exceptional broken gauge, supergravity theories, division algebras in anyonic phenomena and in theories of extended objects in critical dimensions. The topics presented deal primarily with original contributions by the authors.



Matrix Theory


Matrix Theory
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Author : Mykhaylo Andriychuk
language : en
Publisher: BoD – Books on Demand
Release Date : 2023

Matrix Theory written by Mykhaylo Andriychuk and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Mathematics categories.


Matrix Theory - Classics and Advances examines matrix theory and its application in solving a series of problems related to natural phenomena and applied science. It consists of eleven chapters divided into two sections. Section 1, "Theory and Progress", discusses the classical problems of matrix theory and its contribution to different fields of pure mathematics. Section 2, "Applications", contains the research related to the application of matrix theory in applied science.



Niels Bohr Physics And The World


Niels Bohr Physics And The World
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Author : Herman Feshbach
language : en
Publisher: Routledge
Release Date : 2014-05-09

Niels Bohr Physics And The World written by Herman Feshbach and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-09 with History categories.


Containing the proceedings of the symposium held by the American Academy of Arts and Sciences to celebrate the 100th anniversary of the birth of Niels Bohr, this collection was first published in 1988. More than any other individual, Bohr was responsible for the development of quantum mechanics and for many of its applications in the pursuit of fundamental understanding of physical reality. In addition to his unique role in the discovery and elucidation of quantum theory, Bohr led the study of the fission of nuclei and was greatly concerned with the impact of the existence of the atomic bomb in the post-World War II era. This unique volume provides a panoramic view of modern physics, some of the philosophical issues associated with quantum theory, the impact of this momentous scientific development on the political circumstance of the Cold War Era and the qualities of a superlative scientist.



Do Wave Functions Jump


Do Wave Functions Jump
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Author : Valia Allori
language : en
Publisher: Springer Nature
Release Date : 2020-10-02

Do Wave Functions Jump written by Valia Allori and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-02 with Science categories.


This book is a tribute to the scientific legacy of GianCarlo Ghirardi, who was one of the most influential scientists in the field of modern foundations of quantum theory. In this appraisal, contributions from friends, collaborators and colleagues reflect the influence of his world of thoughts on theory, experiments and philosophy, while also offering prospects for future research in the foundations of quantum physics. The themes of the contributions revolve around the physical reality of the wave function and its notorious collapse, randomness, relativity and experiments.



Operator Theory On One Sided Quaternion Linear Spaces Intrinsic S Functional Calculus And Spectral Operators


Operator Theory On One Sided Quaternion Linear Spaces Intrinsic S Functional Calculus And Spectral Operators
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Author : Jonathan Gantner
language : en
Publisher: American Mathematical Society
Release Date : 2021-02-10

Operator Theory On One Sided Quaternion Linear Spaces Intrinsic S Functional Calculus And Spectral Operators written by Jonathan Gantner and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-10 with Mathematics categories.


Two major themes drive this article: identifying the minimal structure necessary to formulate quaternionic operator theory and revealing a deep relation between complex and quaternionic operator theory. The theory for quaternionic right linear operators is usually formulated under the assumption that there exists not only a right- but also a left-multiplication on the considered Banach space $V$. This has technical reasons, as the space of bounded operators on $V$ is otherwise not a quaternionic linear space. A right linear operator is however only associated with the right multiplication on the space and in certain settings, for instance on quaternionic Hilbert spaces, the left multiplication is not defined a priori, but must be chosen randomly. Spectral properties of an operator should hence be independent of the left multiplication on the space.



Excitations In Organic Solids


Excitations In Organic Solids
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Author : Vladimir M. Agranovich
language : en
Publisher: OUP Oxford
Release Date : 2009-02-12

Excitations In Organic Solids written by Vladimir M. Agranovich and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-12 with Science categories.


During the last decade our expertise in nanotechnology has advanced considerably. The possibility of incorporating in the same nanostructure different organic and inorganic materials has opened up a promising field of research, and has greatly increased the interest in the study of properties of excitations in organic materials. In this book not only the fundamentals of Frenkel exciton and polariton theory are described, but also the electronic excitations and electronic energy transfers in quantum wells, quantum wires and quantum dots, at surfaces, at interfaces, in thin films, in multilayers, and in microcavities. Among the new topics in the book are those devoted to the optics of hybrid Frenkel-Wannier-Mott excitons in nanostructures, polaritons in organic microcavities including hybrid organic-inorganic microcavities, new concepts for organic light emitting devices, the mixing of Frenkel and charge-transfer excitons in organic quasi one-dimensional crystals, excitons and polaritons in one and two-dimensional crystals, surface electronic excitations, optical biphonons, and Fermi resonances by polaritons. All new phenomena described in the book are illustrated by available experimental observations. The book will be useful for scientists working in the field of photophysics and photochemistry of organic solids (for example, organic light-emitting devices and solar cells), and for students who are entering this field. It is partly based on a book by the author written in 1968 - "Theory of Excitons" - in Russian. However the new book includes only 5 chapters from this version, all of which have been updated. The 10 new chapters contain discussions of new phenomena, their theory and their experimental observations.