Group Theoretical Methods in Physics: Seventh International Colloquium and Integrative Conference on Group Theory and Mathematical Physics, Held in Austin, Texas, September 11–16, 1978

ISBN-13: 9783540092384 / Angielski / Miękka / 1979 / 547 str.

W. Beiglbock;A. Bohm;E. Takasugi

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Spis treści

The group theory and fundamental physics foundation.- The Wigner Medal.- Tribute to Eugene P. Wigner by A. Böhm.- Tribute to Valentine Bargmann by Eugene Wigner.- Solitons.- Semi-classical results in quantum field theory.- Some classical solutions of SU (2) Yang-Mills equations.- Collapsons: New nonlinear excitations.- The excited states of the Prasad-Sommerfield soliton and its SU(3)-generalization.- Geometry for solitons and inverse scattering.- Instantons and embeddings.- A consistent quantization procedure for non-linear problems.- A Lienard-Wiechert type of solution in SU(2).- Application of the boson polynomials of U(n) to physical problems.- Unitary group approach to molecular electronic structure.- Shift operators for the classical groups.- Computer programs for the reduction of Kronecker products and symmetrized Kronecker powers of space group irreducible representations.- A new method for calculating Clebsch-Gordan coefficients.- A biological field theory of evolution.- General Flodmark-Blokker method for irreducible representatives.- Group structure for general lattice systems and surface tension.- Dynamical symmetries of the time-dependent Lewis-Riesenfeld harmonic oscillator.- Induced representations and spontaneous molecular symmetry breaking.- “Phase ordering” and symmetry in Hg3-?AsF6.- On the application of group theory to the renormalization-group method.- Renormalization group theory of structural phase transitions in A-15: Pm3n-Oh 3.- “Structure of the images of the irreducible linear representations of the crystallographic little space groups”.- Unitary group formulation of Hartree-Fock theory.- On Symmetries of infinite macrosystems in a standard representation.- Geometry of collective motion.- On labeling the basis in Gln and identifying the racah algebra with SN.- Dynamical groups of parametrized systems: Atomic supermultiplets.- Geometrically formulated gauge dynamics for extended hadrons.- Fundamental length hypothesis in a Gauge theory context.- Superunified theories in superspace.- Relativity principles and fibre bundles.- Dynamical groups for the motion of relativistic composite systems.- Clebsch-Gordon coefficients for the holomorphic discrete series.- Deformation cohomology of the primitive infinite lie algebras.- Interactions in a model of extended particles.- Rigorous results in lattice and continuum Gauge quantum field theories.- A unitary relativistic wave equation exhibiting extended particle structure.- Line space construction of non-self-dual Yang-Mills fields.- An explicit model exhibiting mass and spin mixing.- The ambiguity group for canonical transformations in classical mechanics and its role in their representation in quantum mechanics.- Generating functions for characters of group representations and their applications.- Phase space representations of the Poincaré group & their applications to relativistic particle dynamics.- On subgroups of physical symmetry groups and their invariant “electromagnetic” fields and potentials.- Covariant observables and instruments.- Quantum spin systems, fermi systems and group extensions.- Review of research on presymmetry.- On the four Euclidean conformal group structure of the Sturmian operator.- An SL(2,R) approach to Schrödinger spectral problem with pseudosingular potential.- Ergodic Theory in von Neumann algebras.- SU(2) harmonic analysis as a basis for quantization.- Some new aspects of Cayley-quantum theory.- Application of quasiclassical methods to uniaxial spin systems.- Mathematical remarks to resonances and their Eigenfunctionals in decay-scattering systems, demonstrated by means of Friedrich's model..- Quatum decay processes and quatum dynamical semigroups.- Unstable quantum states and rigged Hilbert spaces.- Irreversible processes in quantum theory.- Analytic continuation in decay-scattering system.- On the inverse problem of the abstract relativistic scattering theory.- The rigged Hilbert space and decaying states.- Excitation and decay of a multilevel atom.- Dynamical spin spreading of unstable particles in four models.- Sequential decays of open quantum systems.- Quantization via the imprimitivity systems and superselection rules.- A class of soluble one particle models.- Resonances in quantum mechanics over phase space.- Complex mass and field operator for unstable particle.- A canonical description of semigroup law for unstable systems.- Deformation of symplectic structure and quantization.- Presymplectic Hamilton and Lagrange systems, Gauge transformations and the Dirac theory of constraints.- Deformation theory and quantization.- On certain events in geometric quantization.- Kostant-Souriau quantization of Robertson-Walker cosmologies with a scalar field.- Infinite-dimensional Lie groups and quantum dynamical systems.- Geometric quantization of nuclear collective models.- Idea and application of spectrum-generating SU(3) and SU(4).- Baryon semileptonic decays-spectrum generating SU(3) and the Cabibbo Model.- Spectrum-generating SU(3) and local current algebra.- The effect of the choice of wave functions on theoretical predictions for symmetry breaking processes: A view from the DKP formalism.- Algebraic approach to hadrons without seeing quarks.- Gauge invariance with massive Gauge bosons.- Group teoretical interpretation of relativistic hardonis structures.- A simple broken-symmetry treatment of the ground and radially excited state mesons and the ?+? P ? decay.- Self-dual Gauge fields and space-times.- Torsion and quantum gravity.- Surface deformations, their square root and the signature of spacetime.- The role of group theory in the quest for exact solutions of Einstein's field equations: Some recent developments.- On group covariant physical laws and gravitation.- On the exact solutions of Tomimatsu-Sato family for stationary axial-symmetric gravitational fields.- Remarks to homogeneous solutions of Einstein's field equations.- Description of particles with internal structure in general relativity.- Symmetries and statistical behavior in fermion systems.- SU3 symmetry and integral kernels for nuclear cluster problems.- Dynamical symmetries in nuclei.- Recent work on collective motion.- The calculation of 6j symbols for compact groups.- Application of group theory to composite nuclear particl interactions.- Contravariant form for infinite-dimensional Lie algebras and superalgebras.- Dual sets in associative algebras and generalized Lie algebras.- Molien function for a symmetric group.- Generalized Lie algebras.- Superconforial group and quark-like fermionic coordinates.- Parafields and supergroup transformations.- Supermanifolds.- Graded G-structures.- Space-time properties of supergravity.- The Gauge group and geometry of supergravity.- Recent developments in superconformal gravity.- Geometrization in superspace and local supersymmetry.- Superfield supergravity.- How to build hadron multiplets from stable particles.- Structure of the multiquark meson states.- Octonionic structures in particle physics.- Multilocal field theory.- Multiquark states.- UN the Eriksenlike form of the Melosh transformation and its group theoretical interpretation.- Working with H.A. Kramers in SU(4).- Dynamical groups and the quarkonium problem.- Weight multiplicities of the exceptional Lie groups.- Conserved currents and symmetries of the S-matrix.- Group theoretical aspects of more-than-four quark models.- Infinite unitary group, quarks, unitary symmetry.