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Relativity, symmetry and the structure of quantum theory.. I,. Galilean quantum theory /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Relativity, symmetry and the structure of quantum theory./ William H. Klink, Sujeev Wickramasekara.
remainder title:	Galilean quantum theory.
Author:	Klink, William H.,
other author:	Wickramasekara, Sujeev,
Description:	1 online resource (various pagings).
Notes:	"Version: 20150301"--Title page verso.
Subject:	Quantum theory. -
Online resource:	http://iopscience.iop.org/book/978-1-6270-5624-3
ISBN:	9781627056243

Relativity, symmetry and the structure of quantum theory.. I,. Galilean quantum theory /
Klink, William H.,

Relativity, symmetry and the structure of quantum theory.I,Galilean quantum theory /Galilean quantum theory.William H. Klink, Sujeev Wickramasekara. - 1 online resource (various pagings). - IOP concise physics..

"Version: 20150301"--Title page verso.

Includes bibliographical references.

Preface -- Author biographies -- Introduction -- Newton relativity and one-particle Galilean quantum theory -- Unitary representations of the Galilei group -- Complete systems of commuting observables -- Non-inertial transformations, fictitious forces and the equivalence principle -- Multiparticle systems and interactions -- Internal symmetries -- Conclusion -- Appendices -- A. Transitive manifolds -- B. Irreducible representations of the Galilei group and the origin of mass and spin -- C. Decomposition of n-fold tensor products and Clebsch-Gordan coefficients.

The history of how quantum mechanics was developed is a fascinating one and underlies the focus of this book; namely, given the rules that the founders of quantum mechanics developed, is it possible to find principles that lead to the structure of quantum mechanics as it was historically formulated? This is the first book in a series of works considering what particular relativity is applicable to a given dynamical theory. The series considers Newton, Einstein, and de Sitter relativities, while this book examines the unitary irreducible representations of the Galilei group and see how they provide the framework for Galilean quantum theory.

Quantum theory researchers and scientists. Graduate level students.

Mode of access: World Wide Web.

William H. Klink is a retired Professor of Physics and Astronomy and Adjunct Professor of Mathematics at the University of Iowa. His research dealt with the application of symmetry to quantum theory and quantum mechanical systems. Applications included using symmetry to develop a relativistic quantum theory for systems within finite and infinite degrees of freedom. His recent work has been using symmetry to show why quantum theory has the structure that it does, leading to work dealing with the interpretation of quantum theory, as well as work in the field of science and religion. Sujeev Wickramasekara is an Assistant Professor in the Department of Physics at Grinnell College in Iowa and a Research Scientist at the Department of Physics and Astronomy at the University of Iowa. He received his PhD from the University of Texas at Austin. His research interests include quantum field theory; relativistic resonances; phenomenology of the Z-boson; foundations of quantum physics; functional and harmonic analysis; Hp-spaces; representations of groups and semigroups; measure theory; distributions and test function spaces.

ISBN: 9781627056243

Standard No.: 10.1088/978-1-6270-5624-3doiSubjects--Topical Terms:

568041
Quantum theory.

LC Class. No.: QC174.12 / .K557 2015eb

Dewey Class. No.: 530.1/2

Relativity, symmetry and the structure of quantum theory.. I,. Galilean quantum theory /
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264 1 $a San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : $b Morgan & Claypool Publishers, $c [2015]
264 2 $a Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : $b IOP Publishing
300 $a 1 online resource (various pagings).
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500 $a "Version: 20150301"--Title page verso.
500 $a "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.
504 $a Includes bibliographical references.
505 0 $a Preface -- Author biographies -- Introduction -- Newton relativity and one-particle Galilean quantum theory -- Unitary representations of the Galilei group -- Complete systems of commuting observables -- Non-inertial transformations, fictitious forces and the equivalence principle -- Multiparticle systems and interactions -- Internal symmetries -- Conclusion -- Appendices -- A. Transitive manifolds -- B. Irreducible representations of the Galilei group and the origin of mass and spin -- C. Decomposition of n-fold tensor products and Clebsch-Gordan coefficients.
520 3 $a The history of how quantum mechanics was developed is a fascinating one and underlies the focus of this book; namely, given the rules that the founders of quantum mechanics developed, is it possible to find principles that lead to the structure of quantum mechanics as it was historically formulated? This is the first book in a series of works considering what particular relativity is applicable to a given dynamical theory. The series considers Newton, Einstein, and de Sitter relativities, while this book examines the unitary irreducible representations of the Galilei group and see how they provide the framework for Galilean quantum theory.
521 $a Quantum theory researchers and scientists. Graduate level students.
530 $a Also available in print.
538 $a Mode of access: World Wide Web.
538 $a System requirements: Adobe Acrobat Reader.
545 $a William H. Klink is a retired Professor of Physics and Astronomy and Adjunct Professor of Mathematics at the University of Iowa. His research dealt with the application of symmetry to quantum theory and quantum mechanical systems. Applications included using symmetry to develop a relativistic quantum theory for systems within finite and infinite degrees of freedom. His recent work has been using symmetry to show why quantum theory has the structure that it does, leading to work dealing with the interpretation of quantum theory, as well as work in the field of science and religion. Sujeev Wickramasekara is an Assistant Professor in the Department of Physics at Grinnell College in Iowa and a Research Scientist at the Department of Physics and Astronomy at the University of Iowa. He received his PhD from the University of Texas at Austin. His research interests include quantum field theory; relativistic resonances; phenomenology of the Z-boson; foundations of quantum physics; functional and harmonic analysis; Hp-spaces; representations of groups and semigroups; measure theory; distributions and test function spaces.
588 $a Title from PDF title page (viewed on March 3, 2015).
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700 1 $a Wickramasekara, Sujeev, $e author. $3 1030968
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776 0 8 $i Print version: $z 9781627056236
830 0 $a IOP concise physics. $3 985735
856 4 0 $u http://iopscience.iop.org/book/978-1-6270-5624-3