Group Theoretical Methods in Physics: Proceedings of the Third Yurmala Seminar, Yurmala, Ussr, 22-24 May 1985, Volume 1

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Moiseĭ Aleksandrovich Markov, Vladimir Ivanovich Mano, Victor V. Dodonov
BRILL - Science - 706 pages
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These Proceedings cover various topics in modern physics in which group theoretical methods can be applied effectively. The two volumes, containing over 100 papers, cover such areas as representation theory, the theory and applications of dynamical symmetries and coherent states, symmetries in atomic, molecular, nuclear and elementary particle physics, field theory including gauge theories, supersymmetry and supergravity, general relativity and cosmology, the theory of space groups and its applications to solid state physics and phase transitions, the problems of quantum and classical mechanics and paraxial optics, and the theory of nonlinear equations and solitons.
 

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Contents

Twenty years of dynamical groups and spectrum generating algebras
3
Quantum invariants and state system generating algebra
51
Transvector algebras in representation theory and dynamic symmetry
71
The Galilei group in investigations of symmetry properties of Maxwell equations
95
Conformally invariant nonlinear equations of electromagnetic field
111
Canonical basis in irreducible representations of g3 and its applications
127
Multiplicities and proper bases for gln
147
On Rmatrix quantization of formal loop groups
161
E Ferrer V P de la Insera and A E Shabad
363
p2symmetry space groups
377
Application of the permutationinversion symmetry group to the analysis
397
R Dirl P Kasperkovitz J N Kotzev M I AroyoandM N Angelova
419
Kraizman V P Sakhnenkoand G M Chechin
433
Large unit cellsmall Brillouin zone model in the oscillation problems
441
On the phenomenologic description of electronic phase transitions
459
New topological invariants of linked linear defects in condensed matter
477

Symmetric basis in Lie group representation theory and constructing
181
Invariant algebraic methods and symmetric analysis of cooperative phenomena
201
On structure of the representations of U21 with extremal vector
223
The elements of the SU3 WignerRacah algebra
243
N Tolstoy Yu F Smirnov and Z Pluhar
259
Casimir operators of the generalized Poincare and Galilei groups
275
On topological properties of orbit space in gauge field theories
297
Large Nlimit in UN oneplaquette models
319
Higgs models resulting from symmetric spaces
343
Tensor field representation in the nuclear solid state physics
491
Universal invariants of paraxial optical beams
523
S G Krivoshlykov N I Petrov and I N Sisakyan
539
Application of four and five dimensional rotation groups to description
563
The threshold phenomena on threeparticle Coulomb systems
585
Structure and features of the constant nonabelian field Hamiltonians generated
605
O VorovandV Zelevinsky
618
Yu F SmirnovandR M Asherova
639
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