Applied Group Theory: Selected Readings in PhysicsSelected Readings in Physics: Applied Group Theory provides information pertinent to the fundamental aspects of applied group theory. This book discusses the properties of symmetry of a system in quantum mechanics. Organized into two parts encompassing nine chapters, this book begins with an overview of the problem of elastic vibrations of a symmetric structure. This text then examines the numbers, degeneracies, and symmetries of the normal modes of vibration. Other chapters consider the conditions under which a polyatomic molecule can have a stable equilibrium configuration when its electronic state has orbital degeneracy. This book discusses as well the effect of an electric field having a given symmetry upon an atom. The final chapter deals with the symmetry of crystals with a magnetic moment. This book is intended to be suitable for final-year students and fresh postgraduate students in physics. Physicists and researcher workers will also find this book extremely useful. |
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angles angular momentum approximation axes axis belong Bravais lattice Brillouin zone Chapter character table characteristic vibrations components configuration consider corresponding crystal cubic lattice degeneracy degenerate diagonal dimension dipole direct product double group double-valued representations eigenfunctions eigenvalues electrons energy levels equation example free atom given group 43m group G group multiplication table group of symmetry group theory hexagonal identical integer invariant inversion irreducible representations isobaric isobaric spin linear Lorentz group magnetic matrix multiplet neutrons normal modes nuclei octahedron orbitals ordinary spin particles permutation Phys physical point group possible protons pyramid quantum number reducible repre representation of g rotation group Section sentation small representation space group spherical harmonics splitting square subgroup symmetry elements symmetry group symmetry operations symmetry transformations tation tensor tetragonal theorem tion translation group unitary unitary matrix values wave function wave vector Wigner