## ＜電子ブック＞Group Theoretical Methods in Physics : Proceedings of the XIIth International Colloquium Held at the International Centre for Theoretical Physics, Trieste, Italy September 5-11, 1983

責任表示 edited by G. Denardo, G. Ghirardi, T. Weber Denardo, G Ghirardi, G Weber, T SpringerLink (Online service) 1st ed. 1984. English (英語) Springer Berlin Heidelberg Imprint: Springer 1984- Berlin, Heidelberg, Germany シリーズ Lecture Notes in Physics ; 201 The use and ultimate validity of invariance principlesCohomology and contraction: The "non-relativistic" limit revisitedLinearization - A unified approachWeyl kinematical groups of electromagnetic and energy-momentum tensorsFrom spinors to probability amplitudes of external and internal variables for spinning particlesA characterizatton of factor systems of locally-operating representationsRecent developments on shift operatorsUnitary and non-unitary, multiplicity free irreducible representations of SL (3,R)The symmetry group of a differential equationGroup contractions and the E(2)-like little group for massless particles as an infinite-momentum/zero-mass limit of the 0(3)-like little group for massive particlesRepresentation approach to lattices of subgroups of space groupsYoung tableaux for the Lie superalgebra OSP(M/N)The associated Lie Algebra of $$\ddot x$$ + f2 $$\dot x$$ + f1x = f0Three-dimensional commutative diagram of group homomorphismsIndecomposable representations of Verma typeSome recent results on the SU(3)? SO(3) state labelling problemIrreducible projective representations of the generalized symmetric groups B n mIndecomposable representations of some graded Lie AlgebrasStephen Paneitz: A brief appreciationIndecomposable representations of the Poincare group and associated fieldsSL(n,R)/SO(n) unirreps and group decontractionHysteresis & universal bifurcation in natural processesIrreducible representations of the basic classical Lie superalgebras SU(m/n) ; SU(n/n)/U(1) ; OSp(m/2n) ; D(2/1 ; ? ) ; G(3) ; F(4).Group representations in indefinite metric spacesTensor operator realisations of the classical Lie Algebras and non-trivial zeros of the 6j-symbolYang - Baxter algebras of dynamical charges in the chiral gross - Neveu modelSubgroups of Lie groups and symmetry reduction for nonlinear partial differential equationsSpinorial description of Lie superalgebrasNoetherian symmetries, backlund transformation and conservation laws for a completely integrable three dimensional systemEinstein equations without killing vectors, self-dual Yang-Mills field and non-linear sigma models (integrability properties, links, new solutions)Jet bundle technique, Lie Bèacklund vector fields and diffusion equationsA group-theoretic treatment of Gaussian optics and third-order aberrationsStudy of Michel's conjectureConformally invariant solutions of Yang-Mills equations in Minkowski spaceTwo body relativistic scattering with an 0(1,1) symmetric sqaure well potentialEmergence of central extension of Kac-Moody algebra in quantum integrable modelsCohomological interpretation of anomalies the example of the trace anomalyOn pure, conformal and exotic spinorsPohlmeyer-type transformations in general relativityOn group covariance and the law of motion in a generalized metric theoryMinimalization of Higgs potentials with application to the SU(5) modelSelf-dual monopoles and caloronsU(1) Invariant hierarchy theories in d-dimension antisymmetric gauge tensor fieldsGeneralized connection forms with linearized curvatureDynamical symmetry breaking in S4 De Sitter spaceApplications of conformal invariance to gauge Quantum Field TheoryOn the necessity of breaking colour SUC(3) symmetryMassive vector superfields with SU(2) internal symmetrySupergravity in eleven-dimensional space-timeDimensional reduction of exceptional gauge groups and flavor chiralitySeven - Spheres from octonionsA solution of Bianchi identities for extended supergravitiesN=2 unconstrained superfield supergravity from hypermultipletEuclidean supersymmetries in three and four dimensionsGauge theories in higher dimensions: Linear relations for gauge fields, integrability conditions, spherical symmetry in eight dimensionsQuantum vortices and diff (?3)The time dependent Sp(2,?) model for the breathing modeThe quark structure of nuclei from a group theoretical viewpointGroup theoretic approach to spherical anharmonic oscillatorOperator averages and orthogonalitiesAdvances in the theory of collective motion in nucleiQuantum effects in classical phase space: Symplectic structures associated to the scattering of nuclear fragmentsGamow states in momentum representationGeometry of nuclear collective motionsIs it possible to separate the kinetic energy and the velocity field into a collective and an intrinsic part W.R.T. the GL+(3,)R) collectivity?Computer generated Clebsch-Gordan (C-G) coefficients for space groupsAutomorphism symmetries of space group representationsLattices of symmetric groups S5 and S6 and exomorphism of group-subgroup relations up to index 6A direct-expansion method for tensor properties of crystalsIsotropy groups of space groups - A simple method for their determinationLandau's theory of crystalline phase transitions in a superspace formulationSymmetry breaking in solid state and particle physicsCounterexamples to the maximality conjecture of Landau-Higgs modelsSome mathematical problems in renormalization group theoryOn the Racah algebra for Shubnikov magnetic groupsOn periodic and non-periodic space fillings of Em obtained by projectionInvariants for physically irreducible representations of space groupsOn symmetry aspects of phase transitions with coupled parametersQuasisymmetry (P-symmetry) in crystalsBraid groups and Euclidean Lie algebras in statistical mechanics of spin systemsPhase coexistence in many-fermion systemsMean field renormalization group approach to lattice modelsLinear-antilinear representations of magnetic line groupsAnderson transition and nonlinear ?-modelDo energy bands in solids have an identityCoupling coefficients for the space group of the hexagonal close-packed structureHarmonic analysis on phase space and Born's metric for space timeGeneralized Chebyshev polynomials and characters of GL(N,C) and SL(N,C) (fragments of results)Tensor operators as an extension of the universal enveloping algebraA group-theoretical criterion for an Einstein-Podolsky-Rosen stateGroup theory algebras and bosonizationSO(3) commutators for angular momentum and rotation observablesIntegrals of motion of nonstationary quantum systemsGeometric properties of the lowest energy state for a polynomial HamiltonianGroupes diffâerentiels et physique mathâematiqueGauge invariance and canonical transformations in Dirac generalized mechanics.続きを見る http://hdl.handle.net/2324/1000123447 Full text available from SpringerLink ebooks - 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レコードID 3333915 QC173.96-174.52 530.12 Quantum theory. Quantum Physics. Quantum Information Technology, Spintronics. ssj0000323661 9783540133353[3540133356](print) 9783662176153[3662176157](print) 9783540388593[3540388591] 2020.06.27 2020.06.28