Download or read book Introduction la th orie des groupes et ses applications la physique quantique written by Edmond Bauer and published by Jacques Gabay. This book was released on 1991 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction la th orie des groupes et ses applications la physique written by Edmond Bauer and published by . This book was released on 1933 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Special Functions and the Theory of Group Representations written by Naum I͡Akovlevich Vilenkin and published by American Mathematical Soc.. This book was released on 1978 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Groupes et sym tries written by Yvette Kosmann-Schwarzbach and published by Editions Ecole Polytechnique. This book was released on 2005 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: La théorie des représentations de groupes, utilisant algèbre, géométrie et analyse, possède de multiples applications aux sciences physiques, en cristallographie, chimie, physique atomique et subatomique, ainsi que dans les théories de champ. Ce livre est une introduction à cette théorie, à l'usage des étudiants de mathématiques et de physique. Il s'adresse à des lecteurs ayant les connaissances d'algèbre linéaire du premier cycle universitaire. Des exercices pour chaque chapitre et des problèmes corrigés complètent le cours. L'objet de ce livre est de donner une première vue d'ensemble sur les groupes de symétries et leurs représentations. On y trouvera l'étude, à l'aide de la théorie des caractères, des représentations des groupes finis, dont les résultats principaux sont ensuite étendus, aux groupes compacts en utilisant l'intégrale de Haar. Dans la suite du cours, la notion d'algèbre de Lie est introduite, celle de groupe de Lie est étudiée en se limitant au cas des groupes de Lie linéaires, et les propriétés essentielles liant groupes et algèbres de Lie sont exposées. Les exemples fondamentaux pour la physique quantique, le groupe des rotations et le groupe spécial unitaire en dimension 2, sont étudiés en détails, leurs représentations irréductibles sont déterminées, et un chapitre traite des harmoniques sphériques. Enfin, on aborde sur des exemples l'étude des représentations du groupe spécial unitaire en dimension 3, introduisant les notions de racines et de poids, et l'on montre que la théorie des quarks apparaît comme conséquence des propriétés mathématiques du groupe de symétries. [Source : 4e de couv.]
Download or read book APPLICATIONS DE LA THEORIE DES GROUPES A LA MECANIQUE QUANTIQUE written by Petrachene, and published by . This book was released on 1969-11-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applications de la theorie des groupes a la physique quantique des ions dans les cristaux written by Roger Lacroix and published by . This book was released on 1957* with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Symmetry written by R. McWeeny and published by Elsevier. This book was released on 2013-09-03 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry: An Introduction to Group Theory and its Application is an eight-chapter text that covers the fundamental bases, the development of the theoretical and experimental aspects of the group theory. Chapter 1 deals with the elementary concepts and definitions, while Chapter 2 provides the necessary theory of vector spaces. Chapters 3 and 4 are devoted to an opportunity of actually working with groups and representations until the ideas already introduced are fully assimilated. Chapter 5 looks into the more formal theory of irreducible representations, while Chapter 6 is concerned largely with quadratic forms, illustrated by applications to crystal properties and to molecular vibrations. Chapter 7 surveys the symmetry properties of functions, with special emphasis on the eigenvalue equation in quantum mechanics. Chapter 8 covers more advanced applications, including the detailed analysis of tensor properties and tensor operators. This book is of great value to mathematicians, and math teachers and students.
Download or read book Th orie des groupes en physique classique et quantique Applications en physique classique written by Théo Kahan and published by . This book was released on 1971 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book La th orie des groupes en chimie written by François Volatron and published by De Boeck Superieur. This book was released on 2017-09-11 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: La théorie des groupes est un outil indispensable en chimie permettant de prendre en compte la symétrie moléculaire, ce qui simplifie considérablement le calcul de nombreuses propriétés. Si cette théorie mathématique est très élaborée, son utilisation en chimie ne nécessite cependant pas que l'on en connaisse tous les arcanes. Les auteurs se limitent ici à une présentation succincte des notions mathématiques indispensables et se focalisent sur les applications de cette théorie. L'accent est mis particulièrement sur l'établissement des orbitales moléculaires et la prédiction de certaines propriétés spectroscopiques des molécules. Chaque chapitre est complété par une série d'exercices corrigés.
Download or read book Theory of Groups in Classical and Quantum Physics Mathematical structures and the foundations of quantum theory translated from the French by H Ingram written by Théo Kahan and published by . This book was released on 1965 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book M canique quantique Sym tries written by Walter Greiner and published by Springer Science & Business Media. This book was released on 1999-10-08 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: L'ouvrage traite d'un concept particulièrement attractif du cours de mécanique quantique avancé, c'est à dire les symétries. Après une brève introduction aux symétries en mécanique classique, le texte s'attache à leur place en mécanique quantique, aux conséquences de la symétrie de rotation, ainsi qu'à la théorie générale des groupes de Lie. Les groupes isospin, l'hypercharge SU(3), et leurs applications sont traités avant les chapitres sur les quarks et leur charme, SU(4), ainsi que les symétries dynamiques et les frontières de la recherche en physique des particules. Ce texte unique comprend plus de 120 problèmes et exercices très détaillés et corrigés, afin d'en faire l'ouvrage de référence en la matière.
Download or read book Angular Momentum in Quantum Mechanics written by A. R. Edmonds and published by Princeton University Press. This book was released on 2016-08-10 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a concise introduction to the angular momentum, one of the most fundamental quantities in all of quantum mechanics. Beginning with the quantization of angular momentum, spin angular momentum, and the orbital angular momentum, the author goes on to discuss the Clebsch-Gordan coefficients for a two-component system. After developing the necessary mathematics, specifically spherical tensors and tensor operators, the author then investigates the 3-j, 6-j, and 9-j symbols. Throughout, the author provides practical applications to atomic, molecular, and nuclear physics. These include partial-wave expansions, the emission and absorption of particles, the proton and electron quadrupole moment, matrix element calculation in practice, and the properties of the symmetrical top molecule.
Download or read book Symmetry of Many Electron Systems written by I. G. Kaplan and published by Academic Press. This book was released on 2013-10-22 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry of Many-Electron Systems discusses the group-theoretical methods applied to physical and chemical problems. Group theory allows an individual to analyze qualitatively the elements of a certain system in scope. The text evaluates the characteristics of the Schrodinger equations. It is proved that some groups of continuous transformation from the Lie groups are useful in identifying conditions and in developing wavefunctions. A section of the book is devoted to the utilization of group-theoretical methods in quantal calculations on many-electron systems. The focus is on the use of group-theoretical methods to the classification and calculation of states of molecule. A chapter of the book gives a comprehensive discussion of the fractional parentage method. This application is used in atomic and nuclear spectroscopy. The method of employing coordinate wave functions is explained. The standard Young-Yamanouchi orthogonal representation is presented completely. The book will provide useful guides for physicists, chemists, engineers, students, and researchers in the field of physics.
Download or read book Groupes quantiques written by Alain Guichardet and published by . This book was released on 1995 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Group Theory in Quantum Mechanics written by Volker Heine and published by Elsevier. This book was released on 2014-05-15 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group Theory in Quantum Mechanics: An Introduction to its Present Usage introduces the reader to the three main uses of group theory in quantum mechanics: to label energy levels and the corresponding eigenstates; to discuss qualitatively the splitting of energy levels as one starts from an approximate Hamiltonian and adds correction terms; and to aid in the evaluation of matrix elements of all kinds, and in particular to provide general selection rules for the non-zero ones. The theme is to show how all this is achieved by considering the symmetry properties of the Hamiltonian and the way in which these symmetries are reflected in the wave functions. This book is comprised of eight chapters and begins with an overview of the necessary mathematical concepts, including representations and vector spaces and their relevance to quantum mechanics. The uses of symmetry properties and mathematical expression of symmetry operations are also outlined, along with symmetry transformations of the Hamiltonian. The next chapter describes the three uses of group theory, with particular reference to the theory of atomic energy levels and transitions. The following chapters deal with the theory of free atoms and ions; representations of finite groups; the electronic structure and vibrations of molecules; solid state physics; and relativistic quantum mechanics. Nuclear physics is also discussed, with emphasis on the isotopic spin formalism, nuclear forces, and the reactions that arise when the nuclei take part in time-dependent processes. This monograph will be of interest to physicists and mathematicians.
Download or read book Introduction To Quantum Groups written by Masud Chaichian and published by World Scientific. This book was released on 1996-11-22 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past decade there has been an extemely rapid growth in the interest and development of quantum group theory.This book provides students and researchers with a practical introduction to the principal ideas of quantum groups theory and its applications to quantum mechanical and modern field theory problems. It begins with a review of, and introduction to, the mathematical aspects of quantum deformation of classical groups, Lie algebras and related objects (algebras of functions on spaces, differential and integral calculi). In the subsequent chapters the richness of mathematical structure and power of the quantum deformation methods and non-commutative geometry is illustrated on the different examples starting from the simplest quantum mechanical system — harmonic oscillator and ending with actual problems of modern field theory, such as the attempts to construct lattice-like regularization consistent with space-time Poincaré symmetry and to incorporate Higgs fields in the general geometrical frame of gauge theories. Graduate students and researchers studying the problems of quantum field theory, particle physics and mathematical aspects of quantum symmetries will find the book of interest.
Download or read book La th orie des groupes en physique et chimie quantiques written by Jean Hladik and published by Elsevier Masson. This book was released on 1995 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
