Symmetry: An Introduction to Group Theory and Its ApplicationsCourier Corporation, 1 janv. 2002 - 248 pages This well-organized volume develops the elementary ideas of both group theory and representation theory in a progressive and thorough fashion, leading students to a point at which they can proceed easily to more elaborate applications. The finite groups describing the symmetry of regular polyhedra a |
Table des matières
GROUPS | 5 |
LATTICES AND VECTOR SPACES | 22 |
POINT AND SPACE GROUPS | 54 |
REPRESENTATIONS OF POINT AND TRANSLATION GROUPS | 91 |
IRREDUCIBLE REPRESENTATIONS | 109 |
APPLICATIONS INVOLVING ALGEBRAIC FORMS | 140 |
APPLICATIONS INVOLVING FUNCTIONS AND OPERATORS | 166 |
APPLICATIONS INVOLVING TENSORS AND TENSOR OPERATORS | 203 |
Autres éditions - Tout afficher
Expressions et termes fréquents
3-dimensional A₁ algebra angle applications associated atom axes axial basic basis vectors C₁ C₂ Cartesian chapter character system coefficients collection column consider contains contravariant coordinates corresponding coset crystal cubic groups D₁ D₂ defined denote described diagonal dimensions direct product displacement e₁ e₂ eigenvalue eigenvectors equation equivalent example finite group follows geometrical group elements group G group theory hence holohedry identity improper rotation indicated introduce invariant inverse irreducible representations lattice law of combination linear combinations mapping mathematical matrix element molecular molecule multiplication table normal notation obtain orbitals orthogonal orthorhombic physical plane point group operations principal axis problem properties quantities quantum mechanics R₁ reduced representation carried result rotation group scalar product self-coincidence space groups subgroup subspace symmetry functions symmetry group symmetry operations T₁ T₂ tation tensor operators tensorial set theorem transformation translation unitary unitary matrix vector space vibration zero
Références à ce livre
Group Representation Theory for Physicists Jin-Quan Chen,Jialun Ping,Fan Wang Aucun aperçu disponible - 2002 |
Molecular Symmetry: An Introduction to Group Theory and Its Uses in Chemistry David S. Schonland Affichage d'extraits - 1965 |