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

The group theory and fundamental physics foundation....Pages 1-2
The Wigner Medal....Pages 3-3
Tribute to Eugene P. Wigner by A. Böhm....Pages 3-5
Tribute to Valentine Bargmann by Eugene Wigner....Pages 5-6
Solitons....Pages 7-15
Semi-classical results in quantum field theory....Pages 16-24
Some classical solutions of SU (2) Yang-Mills equations....Pages 25-26
Collapsons: New nonlinear excitations....Pages 27-28
The excited states of the Prasad-Sommerfield soliton and its SU(3)-generalization....Pages 29-30
Geometry for solitons and inverse scattering....Pages 31-32
Instantons and embeddings....Pages 33-34
A consistent quantization procedure for non-linear problems....Pages 35-36
A Lienard-Wiechert type of solution in SU(2)....Pages 37-38
Application of the boson polynomials of U(n) to physical problems....Pages 39-50
Unitary group approach to molecular electronic structure....Pages 51-65
Shift operators for the classical groups....Pages 66-66
Computer programs for the reduction of Kronecker products and symmetrized Kronecker powers of space group irreducible representations....Pages 67-69
A new method for calculating Clebsch-Gordan coefficients....Pages 70-70
A biological field theory of evolution....Pages 71-72
General Flodmark-Blokker method for irreducible representatives....Pages 73-74
Group structure for general lattice systems and surface tension....Pages 74-74
Dynamical symmetries of the time-dependent Lewis-Riesenfeld harmonic oscillator....Pages 75-76
Induced representations and spontaneous molecular symmetry breaking....Pages 77-81
“Phase ordering” and symmetry in Hg 3-δ AsF 6 ....Pages 82-82
On the application of group theory to the renormalization-group method....Pages 83-84
Renormalization group theory of structural phase transitions in A-15: Pm3n-O h 3 ....Pages 85-85
“Structure of the images of the irreducible linear representations of the crystallographic little space groups”....Pages 86-86
Unitary group formulation of Hartree-Fock theory....Pages 87-88
On Symmetries of infinite macrosystems in a standard representation....Pages 89-90
Geometry of collective motion....Pages 91-94
On labeling the basis in Gln and identifying the racah algebra with S N ....Pages 95-96
Dynamical groups of parametrized systems: Atomic supermultiplets....Pages 97-97
Geometrically formulated gauge dynamics for extended hadrons....Pages 98-113
Fundamental length hypothesis in a Gauge theory context....Pages 114-124
Superunified theories in superspace....Pages 125-133
Relativity principles and fibre bundles....Pages 134-143
Dynamical groups for the motion of relativistic composite systems....Pages 144-144
Clebsch-Gordon coefficients for the holomorphic discrete series....Pages 145-146
Deformation cohomology of the primitive infinite lie algebras....Pages 147-147
Interactions in a model of extended particles....Pages 148-150
Rigorous results in lattice and continuum Gauge quantum field theories....Pages 151-151
A unitary relativistic wave equation exhibiting extended particle structure....Pages 152-153
Line space construction of non-self-dual Yang-Mills fields....Pages 154-154
An explicit model exhibiting mass and spin mixing....Pages 155-163
The ambiguity group for canonical transformations in classical mechanics and its role in their representation in quantum mechanics....Pages 164-174
Generating functions for characters of group representations and their applications....Pages 175-183
Phase space representations of the Poincaré group & their applications to relativistic particle dynamics....Pages 184-185
On subgroups of physical symmetry groups and their invariant “electromagnetic” fields and potentials....Pages 186-186
Covariant observables and instruments....Pages 187-188
Quantum spin systems, fermi systems and group extensions....Pages 189-191
Review of research on presymmetry....Pages 192-193
On the four Euclidean conformal group structure of the Sturmian operator....Pages 194-194
An SL(2,R) approach to Schrödinger spectral problem with pseudosingular potential....Pages 195-195
Ergodic Theory in von Neumann algebras....Pages 196-196
SU(2) harmonic analysis as a basis for quantization....Pages 197-199
Some new aspects of Cayley-quantum theory....Pages 200-200
Application of quasiclassical methods to uniaxial spin systems....Pages 201-201
Mathematical remarks to resonances and their Eigenfunctionals in decay-scattering systems, demonstrated by means of Friedrich's model.....Pages 202-211
Quatum decay processes and quatum dynamical semigroups....Pages 212-218
Unstable quantum states and rigged Hilbert spaces....Pages 219-228
Irreversible processes in quantum theory....Pages 229-238
Analytic continuation in decay-scattering system....Pages 239-243
On the inverse problem of the abstract relativistic scattering theory....Pages 244-244
The rigged Hilbert space and decaying states....Pages 245-249
Excitation and decay of a multilevel atom....Pages 250-250
Dynamical spin spreading of unstable particles in four models....Pages 251-251
Sequential decays of open quantum systems....Pages 252-253
Quantization via the imprimitivity systems and superselection rules....Pages 254-254
A class of soluble one particle models....Pages 255-255
Resonances in quantum mechanics over phase space....Pages 255-255
Complex mass and field operator for unstable particle....Pages 256-257
A canonical description of semigroup law for unstable systems....Pages 258-259
Deformation of symplectic structure and quantization....Pages 260-271
Presymplectic Hamilton and Lagrange systems, Gauge transformations and the Dirac theory of constraints....Pages 272-279
Deformation theory and quantization....Pages 280-289
On certain events in geometric quantization....Pages 290-292
Kostant-Souriau quantization of Robertson-Walker cosmologies with a scalar field....Pages 293-295
Infinite-dimensional Lie groups and quantum dynamical systems....Pages 296-297
Geometric quantization of nuclear collective models....Pages 298-300
Idea and application of spectrum-generating SU(3) and SU(4)....Pages 301-310
Baryon semileptonic decays-spectrum generating SU(3) and the Cabibbo Model....Pages 311-316
Spectrum-generating SU(3) and local current algebra....Pages 317-323
The effect of the choice of wave functions on theoretical predictions for symmetry breaking processes: A view from the DKP formalism....Pages 324-333
Algebraic approach to hadrons without seeing quarks....Pages 334-340
Gauge invariance with massive Gauge bosons....Pages 341-344
Group teoretical interpretation of relativistic hardonis structures....Pages 345-345
A simple broken-symmetry treatment of the ground and radially excited state mesons and the Δ + → P δ decay....Pages 346-348
Self-dual Gauge fields and space-times....Pages 349-353
Torsion and quantum gravity....Pages 354-361
Surface deformations, their square root and the signature of spacetime....Pages 362-371
The role of group theory in the quest for exact solutions of Einstein's field equations: Some recent developments....Pages 372-378
On group covariant physical laws and gravitation....Pages 379-381
On the exact solutions of Tomimatsu-Sato family for stationary axial-symmetric gravitational fields....Pages 382-382
Remarks to homogeneous solutions of Einstein's field equations....Pages 383-390
Description of particles with internal structure in general relativity....Pages 391-393
Symmetries and statistical behavior in fermion systems....Pages 394-407
SU 3 symmetry and integral kernels for nuclear cluster problems....Pages 408-419
Dynamical symmetries in nuclei....Pages 420-429
Recent work on collective motion....Pages 430-437
The calculation of 6j symbols for compact groups....Pages 438-438
Application of group theory to composite nuclear particl interactions....Pages 439-440
Contravariant form for infinite-dimensional Lie algebras and superalgebras....Pages 441-445
Dual sets in associative algebras and generalized Lie algebras....Pages 446-447
Molien function for a symmetric group....Pages 448-449
Generalized Lie algebras....Pages 450-450
Superconforial group and quark-like fermionic coordinates....Pages 451-451
Parafields and supergroup transformations....Pages 452-457
Supermanifolds....Pages 458-465
Graded G-structures....Pages 466-467
Space-time properties of supergravity....Pages 468-476
The Gauge group and geometry of supergravity....Pages 477-479
Recent developments in superconformal gravity....Pages 480-482
Geometrization in superspace and local supersymmetry....Pages 483-486
Superfield supergravity....Pages 487-489
How to build hadron multiplets from stable particles....Pages 490-498
Structure of the multiquark meson states....Pages 499-507
Octonionic structures in particle physics....Pages 508-521
Multilocal field theory....Pages 522-522
Multiquark states....Pages 523-524
UN the Eriksenlike form of the Melosh transformation and its group theoretical interpretation....Pages 525-526
Working with H.A. Kramers in SU(4)....Pages 527-527
Dynamical groups and the quarkonium problem....Pages 528-529
Weight multiplicities of the exceptional Lie groups....Pages 530-531
Conserved currents and symmetries of the S-matrix....Pages 532-533
Group theoretical aspects of more-than-four quark models....Pages 534-534
Infinite unitary group, quarks, unitary symmetry....Pages 535-536