Spinors In Hilbert Space
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Spinors In Hilbert Space
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Author : Paul Adrien Maurice Dirac
language : en
Publisher: Springer
Release Date : 1974-12
Spinors In Hilbert Space written by Paul Adrien Maurice Dirac and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-12 with Mathematics categories.
1. Hilbert Space The words "Hilbert space" here will always denote what math ematicians call a separable Hilbert space. It is composed of vectors each with a denumerable infinity of coordinates ql' q2' Q3, .... Usually the coordinates are considered to be complex numbers and each vector has a squared length ~rIQrI2. This squared length must converge in order that the q's may specify a Hilbert vector. Let us express qr in terms of real and imaginary parts, qr = Xr + iYr' Then the squared length is l:.r(x; + y;). The x's and y's may be looked upon as the coordinates of a vector. It is again a Hilbert vector, but it is a real Hilbert vector, with only real coordinates. Thus a complex Hilbert vector uniquely determines a real Hilbert vector. The second vector has, at first sight, twice as many coordinates as the first one. But twice a denumerable in finity is again a denumerable infinity, so the second vector has the same number of coordinates as the first. Thus a complex Hilbert vector is not a more general kind of quantity than a real one.
Spinors In Hilbert Space
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Author : Paul Dirac
language : en
Publisher:
Release Date : 2014-09-01
Spinors In Hilbert Space written by Paul Dirac and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Spinors In Hilbert Space
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Author : Roger Plymen
language : en
Publisher: Cambridge University Press
Release Date : 1994-12
Spinors In Hilbert Space written by Roger Plymen 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 1994-12 with Mathematics categories.
A definitive self-contained account of the subject. Of appeal to a wide audience in mathematics and physics.
Spinors On Singular Spaces And The Topology Of Causal Fermion Systems
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Author : Felix Finster
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-06-10
Spinors On Singular Spaces And The Topology Of Causal Fermion Systems written by Felix Finster and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-10 with Mathematics categories.
Causal fermion systems and Riemannian fermion systems are proposed as a framework for describing non-smooth geometries. In particular, this framework provides a setting for spinors on singular spaces. The underlying topological structures are introduced and analyzed. The connection to the spin condition in differential topology is worked out. The constructions are illustrated by many simple examples such as the Euclidean plane, the two-dimensional Minkowski space, a conical singularity, a lattice system as well as the curvature singularity of the Schwarzschild space-time. As further examples, it is shown how complex and Kähler structures can be encoded in Riemannian fermion systems.
Clifford Algebras And Spinor Structures
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Author : Rafal Ablamowicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Clifford Algebras And Spinor Structures written by Rafal Ablamowicz 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 2013-06-29 with Mathematics categories.
This volume is dedicated to the memory of Albert Crumeyrolle, who died on June 17, 1992. In organizing the volume we gave priority to: articles summarizing Crumeyrolle's own work in differential geometry, general relativity and spinors, articles which give the reader an idea of the depth and breadth of Crumeyrolle's research interests and influence in the field, articles of high scientific quality which would be of general interest. In each of the areas to which Crumeyrolle made significant contribution - Clifford and exterior algebras, Weyl and pure spinors, spin structures on manifolds, principle of triality, conformal geometry - there has been substantial progress. Our hope is that the volume conveys the originality of Crumeyrolle's own work, the continuing vitality of the field he influenced, and the enduring respect for, and tribute to, him and his accomplishments in the mathematical community. It isour pleasure to thank Peter Morgan, Artibano Micali, Joseph Grifone, Marie Crumeyrolle and Kluwer Academic Publishers for their help in preparingthis volume.
Spinors Twistors Clifford Algebras And Quantum Deformations
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Author : Andrzej Borowiec
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Spinors Twistors Clifford Algebras And Quantum Deformations written by Andrzej Borowiec 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.
ZBIGNIEW OZIEWICZ University of Wroclaw, Poland December 1992 The First Max Born Symposium in Theoretical and Mathematical Phy sics, organized by the University of Wrodaw, was held in September 1991 with the intent that it would become an annual event. It is the outgrowth of the annual Seminars organized jointly since 1972 with the University of Leipzig. The name of the Symposia was proposed by Professor Jan Lopu szanski. Max Born, an outstanding German theoretical physicist, was born in 1883 in Breslau (the German name of Wrodaw) and educated here. The Second Max Born Symposium was held during the four days 24- 27 September 1992 in an old Sobotka Castle 30 km west of Wrodaw. The Sobotka Castle was built in the eleventh century. The dates engraved on the walls of the Castle are 1024, 1140, and at the last rebuilding, 1885. The castle served as a cloister until the end of the sixteenth century.
Spinors In Hilbert Space And The Infinite Orthogonal Group
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Author : Derrick Corson Niederman
language : en
Publisher:
Release Date : 1981
Spinors In Hilbert Space And The Infinite Orthogonal Group written by Derrick Corson Niederman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Hilbert space categories.
Spinors In Physics And Geometry
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Author : Giuseppe Furlan
language : en
Publisher: World Scientific
Release Date : 1988-11-01
Spinors In Physics And Geometry written by Giuseppe Furlan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-11-01 with categories.
This conference brought together physicists and mathematicians working on spinors, which have played an important role in recent research on supersymmetry, Kaluza-Klein theories, twistors and general relativity.
Clifford Algebras And Their Applications In Mathematical Physics
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Author : A. Micali
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Clifford Algebras And Their Applications In Mathematical Physics written by A. Micali 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 2013-03-09 with Mathematics categories.
This volume contains selected papers presented at the Second Workshop on Clifford Algebras and their Applications in Mathematical Physics. These papers range from various algebraic and analytic aspects of Clifford algebras to applications in, for example, gauge fields, relativity theory, supersymmetry and supergravity, and condensed phase physics. Included is a biography and list of publications of Mário Schenberg, who, next to Marcel Riesz, has made valuable contributions to these topics. This volume will be of interest to mathematicians working in the fields of algebra, geometry or special functions, to physicists working on quantum mechanics or supersymmetry, and to historians of mathematical physics.
From Spinors To Supersymmetry
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Author : Herbi K. Dreiner
language : en
Publisher: Cambridge University Press
Release Date : 2023-06-08
From Spinors To Supersymmetry written by Herbi K. Dreiner 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 2023-06-08 with Science categories.
Supersymmetry is an extension of the successful Standard Model of particle physics; it relies on the principle that fermions and bosons are related by a symmetry, leading to an elegant predictive structure for quantum field theory. This textbook provides a comprehensive and pedagogical introduction to supersymmetry and spinor techniques in quantum field theory. By utilising the two-component spinor formalism for fermions, the authors provide many examples of practical calculations relevant for collider physics signatures, anomalies, and radiative corrections. They present in detail the component field and superspace formulations of supersymmetry and explore related concepts, including the theory of extended Higgs sectors, models of grand unification, and the origin of neutrino masses. Numerous exercises are provided at the end of each chapter. Aimed at graduate students and researchers, this volume provides a clear and unified treatment of theoretical concepts that are at the frontiers of high energy particle physics.