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The Theory of Symmetry Actions in Quantum Mechanics

2004-10-27 Science
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Release : 2004-10-27
Genre : Science
Kind : eBook
Book Rating : 028/5 ( reviews)

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Book Synopsis The Theory of Symmetry Actions in Quantum Mechanics by : Gianni Cassinelli

Download or read book The Theory of Symmetry Actions in Quantum Mechanics written by Gianni Cassinelli. This book was released on 2004-10-27. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about representing symmetry in quantum mechanics. The book is on a graduate and/or researcher level and it is written with an attempt to be concise, to respect conceptual clarity and mathematical rigor. The basic structures of quantum mechanics are used to identify the automorphism group of quantum mechanics. The main concept of a symmetry action is defined as a group homomorphism from a given group, the group of symmetries, to the automorphism group of quantum mechanics. The structure of symmetry actions is determined under the assumption that the symmetry group is a Lie group. The Galilei invariance is used to illustrate the general theory by giving a systematic presentation of a Galilei invariant elementary particle. A brief description of the Galilei invariant wave equations is also given.

The Theory of Symmetry Actions in Quantum Mechanics

2014-03-12 Science
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Release : 2014-03-12
Genre : Science
Kind : eBook
Book Rating : 428/5 ( reviews)

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Book Synopsis The Theory of Symmetry Actions in Quantum Mechanics by : Gianni Cassinelli

Download or read book The Theory of Symmetry Actions in Quantum Mechanics written by Gianni Cassinelli. This book was released on 2014-03-12. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about representing symmetry in quantum mechanics. The book is on a graduate and/or researcher level and it is written with an attempt to be concise, to respect conceptual clarity and mathematical rigor. The basic structures of quantum mechanics are used to identify the automorphism group of quantum mechanics. The main concept of a symmetry action is defined as a group homomorphism from a given group, the group of symmetries, to the automorphism group of quantum mechanics. The structure of symmetry actions is determined under the assumption that the symmetry group is a Lie group. The Galilei invariance is used to illustrate the general theory by giving a systematic presentation of a Galilei invariant elementary particle. A brief description of the Galilei invariant wave equations is also given.

Physics from Symmetry

2017-12-01 Science
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Release : 2017-12-01
Genre : Science
Kind : eBook
Book Rating : 312/5 ( reviews)

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Book Synopsis Physics from Symmetry by : Jakob Schwichtenberg

Download or read book Physics from Symmetry written by Jakob Schwichtenberg. This book was released on 2017-12-01. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.

A First Course on Symmetry, Special Relativity and Quantum Mechanics

2020-10-19 Science
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Release : 2020-10-19
Genre : Science
Kind : eBook
Book Rating : 201/5 ( reviews)

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Book Synopsis A First Course on Symmetry, Special Relativity and Quantum Mechanics by : Gabor Kunstatter

Download or read book A First Course on Symmetry, Special Relativity and Quantum Mechanics written by Gabor Kunstatter. This book was released on 2020-10-19. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an in-depth and accessible description of special relativity and quantum mechanics which together form the foundation of 21st century physics. A novel aspect is that symmetry is given its rightful prominence as an integral part of this foundation. The book offers not only a conceptual understanding of symmetry, but also the mathematical tools necessary for quantitative analysis. As such, it provides a valuable precursor to more focused, advanced books on special relativity or quantum mechanics. Students are introduced to several topics not typically covered until much later in their education.These include space-time diagrams, the action principle, a proof of Noether's theorem, Lorentz vectors and tensors, symmetry breaking and general relativity. The book also provides extensive descriptions on topics of current general interest such as gravitational waves, cosmology, Bell's theorem, entanglement and quantum computing. Throughout the text, every opportunity is taken to emphasize the intimate connection between physics, symmetry and mathematics.The style remains light despite the rigorous and intensive content. The book is intended as a stand-alone or supplementary physics text for a one or two semester course for students who have completed an introductory calculus course and a first-year physics course that includes Newtonian mechanics and some electrostatics. Basic knowledge of linear algebra is useful but not essential, as all requisite mathematical background is provided either in the body of the text or in the Appendices. Interspersed through the text are well over a hundred worked examples and unsolved exercises for the student.

Symmetry and Quantum Mechanics

2016-11-25 Mathematics
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Release : 2016-11-25
Genre : Mathematics
Kind : eBook
Book Rating : 608/5 ( reviews)

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Book Synopsis Symmetry and Quantum Mechanics by : Scott Corry

Download or read book Symmetry and Quantum Mechanics written by Scott Corry. This book was released on 2016-11-25. Available in PDF, EPUB and Kindle. Book excerpt: Structured as a dialogue between a mathematician and a physicist, Symmetry and Quantum Mechanics unites the mathematical topics of this field into a compelling and physically-motivated narrative that focuses on the central role of symmetry. Aimed at advanced undergraduate and beginning graduate students in mathematics with only a minimal background in physics, this title is also useful to physicists seeking a mathematical introduction to the subject. Part I focuses on spin, and covers such topics as Lie groups and algebras, while part II offers an account of position and momentum in the context of the representation theory of the Heisenberg group, along the way providing an informal discussion of fundamental concepts from analysis such as self-adjoint operators on Hilbert space and the Stone-von Neumann Theorem. Mathematical theory is applied to physical examples such as spin-precession in a magnetic field, the harmonic oscillator, the infinite spherical well, and the hydrogen atom.

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