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Applications of Symmetry Methods to Partial Differential Equations

2009-10-30 Mathematics
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Release : 2009-10-30
Genre : Mathematics
Kind : eBook
Book Rating : 284/5 ( reviews)

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Book Synopsis Applications of Symmetry Methods to Partial Differential Equations by : George W. Bluman

Download or read book Applications of Symmetry Methods to Partial Differential Equations written by George W. Bluman. This book was released on 2009-10-30. Available in PDF, EPUB and Kindle. Book excerpt: This is an acessible book on the advanced symmetry methods for differential equations, including such subjects as conservation laws, Lie-Bäcklund symmetries, contact transformations, adjoint symmetries, Nöther's Theorem, mappings with some modification, potential symmetries, nonlocal symmetries, nonlocal mappings, and non-classical method. Of use to graduate students and researchers in mathematics and physics.

Fundamentals of Molecular Symmetry

2018-10-03 Science
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Release : 2018-10-03
Genre : Science
Kind : eBook
Book Rating : 855/5 ( reviews)

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Book Synopsis Fundamentals of Molecular Symmetry by : P.R. Bunker

Download or read book Fundamentals of Molecular Symmetry written by P.R. Bunker. This book was released on 2018-10-03. Available in PDF, EPUB and Kindle. Book excerpt: Winner of a 2005 CHOICE Outstanding Academic Book Award Molecular symmetry is an easily applied tool for understanding and predicting many of the properties of molecules. Traditionally, students are taught this subject using point groups derived from the equilibrium geometry of the molecule. Fundamentals of Molecular Symmetry shows how to set up symmetry groups for molecules using the more general idea of energy invariance. It is no more difficult than using molecular geometry and one obtains molecular symmetry groups. The book provides an introductory description of molecular spectroscopy and quantum mechanics as the foundation for understanding how molecular symmetry is defined and used. The approach taken gives a balanced account of using both point groups and molecular symmetry groups. Usually the point group is only useful for isolated, nonrotating molecules, executing small amplitude vibrations, with no tunneling, in isolated electronic states. However, for the chemical physicist or physical chemist who wishes to go beyond these limitations, the molecular symmetry group is almost always required.

Symmetries in Particle Physics

2013-11-21 Science
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Release : 2013-11-21
Genre : Science
Kind : eBook
Book Rating : 132/5 ( reviews)

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Book Synopsis Symmetries in Particle Physics by : Itzhak Bars

Download or read book Symmetries in Particle Physics written by Itzhak Bars. This book was released on 2013-11-21. Available in PDF, EPUB and Kindle. Book excerpt:

Symmetries in Atomic Nuclei

2008-12-18 Science
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Release : 2008-12-18
Genre : Science
Kind : eBook
Book Rating : 941/5 ( reviews)

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Book Synopsis Symmetries in Atomic Nuclei by : Alejandro Frank

Download or read book Symmetries in Atomic Nuclei written by Alejandro Frank. This book was released on 2008-12-18. Available in PDF, EPUB and Kindle. Book excerpt: Symmetries in Atomic Nuclei aims to present an overview of recent applications of symmetry to the description of atomic nuclei. Special care is given to a pedagogical introduction of symmetry concepts using simple examples. After a historical overview of the applications of symmetry in nuclear physics, progress in the field during the last decade is reviewed. Special emphasis is put on the introduction of neutron-proton and boson-fermion degrees of freedom. Their combination leads to a supersymmetric description of pairs and quartets of nuclei. Both theoretical aspects and experimental signatures of dynamical (super)symmetries are carefully discussed. Case studies show how these symmetries are displayed by real atomic nuclei which have been studied experimentally using state-of-the art spectroscopy. This book focuses on nuclear structure physics and has been written by active investigators in the field, but its scope is wider and is intended for final-year or post-graduate students and researchers interested in understanding the power and beauty of symmetry methods in physics.

Continuous Symmetries and Integrability of Discrete Equations

2023-01-23 Mathematics
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Release : 2023-01-23
Genre : Mathematics
Kind : eBook
Book Rating : 540/5 ( reviews)

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Book Synopsis Continuous Symmetries and Integrability of Discrete Equations by : Decio Levi

Download or read book Continuous Symmetries and Integrability of Discrete Equations written by Decio Levi. This book was released on 2023-01-23. Available in PDF, EPUB and Kindle. Book excerpt: This book on integrable systems and symmetries presents new results on applications of symmetries and integrability techniques to the case of equations defined on the lattice. This relatively new field has many applications, for example, in describing the evolution of crystals and molecular systems defined on lattices, and in finding numerical approximations for differential equations preserving their symmetries. The book contains three chapters and five appendices. The first chapter is an introduction to the general ideas about symmetries, lattices, differential difference and partial difference equations and Lie point symmetries defined on them. Chapter 2 deals with integrable and linearizable systems in two dimensions. The authors start from the prototype of integrable and linearizable partial differential equations, the Korteweg de Vries and the Burgers equations. Then they consider the best known integrable differential difference and partial difference equations. Chapter 3 considers generalized symmetries and conserved densities as integrability criteria. The appendices provide details which may help the readers' understanding of the subjects presented in Chapters 2 and 3. This book is written for PhD students and early researchers, both in theoretical physics and in applied mathematics, who are interested in the study of symmetries and integrability of difference equations.

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