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Group Theoretical Methods in Physics

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Cover of 'Group Theoretical Methods in Physics'

Table of Contents

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    Book Overview
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    Chapter 1 The use and ultimate validity of invariance principles
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    Chapter 2 Cohomology and contraction: The “non-relativistic” limit revisited
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    Chapter 3 Linearization — A unified approach
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    Chapter 4 Weyl kinematical groups of electromagnetic and energy-momentum tensors
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    Chapter 5 From spinors to probability amplitudes of external and internal variables for spinning particles
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    Chapter 6 A characterizatton of factor systems of locally-operating representations
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    Chapter 7 Recent developments on shift operators
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    Chapter 8 Unitary and non-unitary, multiplicity free irreducible representations of SL (3,R)
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    Chapter 9 The symmetry group of a differential equation
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    Chapter 10 Group 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 particles
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    Chapter 11 Representation approach to lattices of subgroups of space groups
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    Chapter 12 Young tableaux for the Lie superalgebra OSP(M/N)
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    Chapter 13 The associated Lie Algebra of $$\ddot x$$ + f2 $$\dot x$$ + f1x = f0
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    Chapter 14 Three-dimensional commutative diagram of group homomorphisms
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    Chapter 15 Indecomposable representations of Verma type
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    Chapter 16 Some recent results on the SU(3)⊃ SO(3) state labelling problem
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    Chapter 17 Irreducible projective representations of the generalized symmetric groups B n m
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    Chapter 18 Indecomposable representations of some graded Lie Algebras
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    Chapter 19 Stephen Paneitz: A brief appreciation
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    Chapter 20 Indecomposable representations of the Poincare group and associated fields
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    Chapter 21 SL(n,R)/SO(n) unirreps and group decontraction
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    Chapter 22 Hysteresis & universal bifurcation in natural processes
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    Chapter 23 Irreducible representations of the basic classical Lie superalgebras SU(m/n) ; SU(n/n)/U(1) ; OSp(m/2n) ; D(2/1 ; α ) ; G(3) ; F(4).
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    Chapter 24 Group representations in indefinite metric spaces
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    Chapter 25 Tensor operator realisations of the classical Lie Algebras and non-trivial zeros of the 6j-symbol
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    Chapter 26 Yang - Baxter algebras of dynamical charges in the chiral gross - Neveu model
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    Chapter 27 Subgroups of Lie groups and symmetry reduction for nonlinear partial differential equations
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    Chapter 28 Spinorial description of Lie superalgebras
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    Chapter 29 Noetherian symmetries, backlund transformation and conservation laws for a completely integrable three dimensional system
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    Chapter 30 Einstein equations without killing vectors, self-dual Yang-Mills field and non-linear sigma models (integrability properties, links, new solutions)
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    Chapter 31 Jet bundle technique, Lie Bäcklund vector fields and diffusion equations
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    Chapter 32 A group-theoretic treatment of Gaussian optics and third-order aberrations
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    Chapter 33 Study of Michel's conjecture
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    Chapter 34 Conformally invariant solutions of Yang-Mills equations in Minkowski space
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    Chapter 35 Two body relativistic scattering with an 0(1,1) symmetric sqaure well potential
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    Chapter 36 Emergence of central extension of Kac-Moody algebra in quantum integrable models
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    Chapter 37 Cohomological interpretation of anomalies the example of the trace anomaly
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    Chapter 38 On pure, conformal and exotic spinors
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    Chapter 39 Pohlmeyer-type transformations in general relativity
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    Chapter 40 On group covariance and the law of motion in a generalized metric theory
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    Chapter 41 Minimalization of Higgs potentials with application to the SU(5) model
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    Chapter 42 Self-dual monopoles and calorons
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    Chapter 43 U(1) Invariant hierarchy theories in d-dimension antisymmetric gauge tensor fields
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    Chapter 44 Generalized connection forms with linearized curvature
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    Chapter 45 Dynamical symmetry breaking in S4 De Sitter space
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    Chapter 46 Applications of conformal invariance to gauge Quantum Field Theory
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    Chapter 47 On the necessity of breaking colour SUC(3) symmetry
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    Chapter 48 Massive vector superfields with SU(2) internal symmetry
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    Chapter 49 Supergravity in eleven-dimensional space-time
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    Chapter 50 Dimensional reduction of exceptional gauge groups and flavor chirality
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    Chapter 51 Seven - Spheres from octonions
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    Chapter 52 A solution of Bianchi identities for extended supergravities
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    Chapter 53 N=2 unconstrained superfield supergravity from hypermultiplet
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    Chapter 54 Euclidean supersymmetries in three and four dimensions
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    Chapter 55 Gauge theories in higher dimensions: Linear relations for gauge fields, integrability conditions, spherical symmetry in eight dimensions
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    Chapter 56 Quantum vortices and diff (ℝ3)
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    Chapter 57 The time dependent Sp(2,ℝ) model for the breathing mode
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    Chapter 58 The quark structure of nuclei from a group theoretical viewpoint
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    Chapter 59 Group theoretic approach to spherical anharmonic oscillator
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    Chapter 60 Operator averages and orthogonalities
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    Chapter 61 Advances in the theory of collective motion in nuclei
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    Chapter 62 Quantum effects in classical phase space: Symplectic structures associated to the scattering of nuclear fragments
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    Chapter 63 Gamow states in momentum representation
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    Chapter 64 Geometry of nuclear collective motions
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    Chapter 65 Is 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?
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    Chapter 66 Computer generated Clebsch-Gordan (C-G) coefficients for space groups
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    Chapter 67 Automorphism symmetries of space group representations
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    Chapter 68 Lattices of symmetric groups S5 and S6 and exomorphism of group-subgroup relations up to index 6
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    Chapter 69 A direct-expansion method for tensor properties of crystals
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    Chapter 70 Isotropy groups of space groups — A simple method for their determination
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    Chapter 71 Landau's theory of crystalline phase transitions in a superspace formulation
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    Chapter 72 Symmetry breaking in solid state and particle physics
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    Chapter 73 Counterexamples to the maximality conjecture of Landau-Higgs models
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    Chapter 74 Some mathematical problems in renormalization group theory
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    Chapter 75 On the Racah algebra for Shubnikov magnetic groups
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    Chapter 76 On periodic and non-periodic space fillings of Em obtained by projection
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    Chapter 77 Invariants for physically irreducible representations of space groups
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    Chapter 78 On symmetry aspects of phase transitions with coupled parameters
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    Chapter 79 Quasisymmetry (P-symmetry) in crystals
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    Chapter 80 Braid groups and Euclidean Lie algebras in statistical mechanics of spin systems
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    Chapter 81 Phase coexistence in many-fermion systems
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    Chapter 82 Mean field renormalization group approach to lattice models
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    Chapter 83 Linear-antilinear representations of magnetic line groups
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    Chapter 84 Anderson transition and nonlinear α-model
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    Chapter 85 Do energy bands in solids have an identity
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    Chapter 86 Coupling coefficients for the space group of the hexagonal close-packed structure
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    Chapter 87 Harmonic analysis on phase space and Born's metric for space time
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    Chapter 88 Generalized Chebyshev polynomials and characters of GL(N,C) and SL(N,C) (fragments of results)
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    Chapter 89 Tensor operators as an extension of the universal enveloping algebra
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    Chapter 90 A group-theoretical criterion for an Einstein-Podolsky-Rosen state
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    Chapter 91 Group theory algebras and bosonization
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    Chapter 92 SO(3) commutators for angular momentum and rotation observables
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    Chapter 93 Integrals of motion of nonstationary quantum systems
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    Chapter 94 Geometric properties of the lowest energy state for a polynomial Hamiltonian
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    Chapter 95 Groupes différentiels et physique mathématique
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    Chapter 96 Gauge invariance and canonical transformations in Dirac generalized mechanics
Attention for Chapter 4: Weyl kinematical groups of electromagnetic and energy-momentum tensors
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Chapter title
Weyl kinematical groups of electromagnetic and energy-momentum tensors
Chapter number 4
Book title
Group Theoretical Methods in Physics
Published in
ADS, January 1984
DOI 10.1007/bfb0016107
Book ISBNs
978-3-54-013335-3, 978-3-54-038859-3
Authors

J. Beckers, S. Sinzinkayo