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Format: 1 online resource (XXVI, 635 p. 5 illus.)

Edition: 1st ed. 1980.

Edition: Online edition Springer Lecture Notes Archive ; 041142-5

ISBN: 3-540-38396-4

Series Statement: Lecture Notes in Physics, 135

Note: Group theory of the Morse potential -- Four Euclidean conformal group approach to the multiphoton processes in the H-atom -- Landau theory, symmetry breaking and the chain criterion -- The configuration dN in cubic symmetry: A symmetry adapted weak field approach -- Group theory of the effective potential -- Bloch theorem for crystals with structural distortions -- Global symmetries of spin systems defined on abelian manifolds -- Phases and conjugacy classes -- The probability density in non relativistic quantum mechanics and the (extended) Galilei group -- Quaternionic quantum mechanics and Adler's chromostatics -- Coherent angular momentum states for the isotropic oscillator -- How to measure the canonical momentum p and operators p + f(q) -- A uniqueness result for the segal quantization of a classical system with symmetries -- On the singular points of the matrix elements of the resolvent operator -- Limitations on quantum measuring processes -- Classical and quantum physics on phase space: The state spaces -- Quantum dynamical semigroups and complete positivity. An application to isotropic spin relaxation -- On geometric quantization of the rigid body -- A unified theory of simple dynamical systems -- Geometry of the time-dependent variational principle in quantum mechanics -- Variational characterization of Hamiltonian vectorfields as lie algebra of canonical diffeomorphisms -- The lie theory of extended groups in classical mechanics — Is it of relevance to quantum mechanics? -- On the structure of phase space -- Quantization as mapping and as deformation -- Metric and group structures from quantum physics -- Spontaneous symmetry breaking and restricted superposition principle -- Many-body quantum mechanics as symplectic dynamics -- A nonlinear superposition principle for Riccati equations of the conformal type -- Bäcklund transformations, conservation laws and lie symmetries for the generalized nonlinear Schrödinger equation -- Killing tensors and variable separation for Hamilton-Jacobi equations -- Lie pseudogroups and gauge theory -- Conformal invariance and symmetry breaking for the one-dimensional wave equation -- The flavour sequence and superselection rules -- The Zitterbewegung of the electron and its compact phase space -- New experimental evidence for a new interpretation of flavor SU(3) -- Baryon magnetic moments in broken SU(6) -- The Racah-Wigner algebra and the masses of exotic hadrons -- Simple construction of a relativistic wave equation with arbitrary mass and spin and belinfante's 1/S-conjecture -- Poincaré group, symplectic group, and relativistic extended hadrons consisting of spin 1/2 quarks -- An operator S matrix theory of the strongly interacting particles -- Generalized Galilei invariant partial wave expansions of the scattering amplitude for collisions between two particles with arbitrary spin -- Ternary algebras as the basis of a dynamical theory of subconstituents -- Solitons as sections in non trivial bundles -- Effects of heavy colored higgs scalars in grand unified theories -- Categories of nonlinear group realizations: A possible explanation for the multiple states of charge -- Classical solutions of non-linear ?-models and their quantum fluctuations -- Higgs representations for SO(n) gauges theories -- Multivortex configurations in the Abelian Higgs model -- Quark confinement in field theories with discrete gauge symmetry Z(3) -- Proliferation of effective fields by spontaneous symmetry breakdown -- Explicit solutions for the scalar coupled Yang-Mills system in Minkowski space -- Dynamical supersymmetry SU(6/4) in nuclei -- Group theory of the IBA and its applications -- Bases for irreps of U(6) and three body problems -- Intrinsic sphape of nuclei -- Group theory and nuclear high spin phenomena -- SU3 symmetry in resonating group calculations. Toward a microscopic theory of 12C + 12C molecular resonances -- Collective motion, composite particle structure, and symplectic groups in nuclei -- Group theory and confrontation of nuclear collective models -- Matrix elements of generators of U(6) in a U(6)?U(3)?U(2) basis -- Hartree-Fock one-body dynamics and U(n) co-adjoint orbits -- Group-theoretical aspects of the many-body problem in nuclear theory -- The continuing quest for exact solutions of Einstein's field eouations - - new goals for the eighties -- All non-twisting N's with cosmological constant -- Can quantum effects prevent spacetime collapse? -- Complex plane representation of the Geroch group and a proof of a geroch conjecture -- The Geroch group and soliton solutions of the stationary axially symmetric Einstein's equations -- Geometry of projective asymptotic twistor space -- A truly relativistic approach of the concept of time -- Bases in Sp(2n) representation space -- Semiunitary projective representations of non-connected lie groups: A criterion for the choice of the unitary subgroup -- SU(mn) ? SU(m) x SU(n) isoscalar factors and S(f1+f2) ? S(f1) × S(f2) isoscalar factors -- Structure of enveloping algebras of low-rank groups -- Computer programs for the reduction of symmetrised nth powers of space group irreducible representations using gard's subgroup method -- Some remarks on the uniqueness and reality of Clebsch-Gordan coefficients for corepresentations -- On some special relations involving 3-jm symbols -- Two problems related to the Stone-von Neumann-Mackey uniqueness theorem -- Non-complex representations and their relation to antiunitary symmetry -- Representation theory of compact groups -- Representation theory of compact groups / Shift operators for discrete unitary representations of O(p,q) -- Representation theory of compact groups / Maximal Abelian subalgebras of sp(2n,?) and their applications in physics -- Representation theory of compact groups / Polynomial space group tensors -- A permutation for SUn consistent with duality -- Integral transform representation of SL (2,R) -- The theory of G? supermanifolds -- Casimir operations and the relations of the simplest supersymmetric superalgebra -- On realizations of graded lie algebras and on properties of d-polynomials -- On gauge formulations of gravitation theories -- Lagrangian formalism for superfields with internal symmetry -- Causal propagation in second order Lorentz-invariant wave equations -- The exceptional group E8 for grand unification -- Completely integrable N-body problems in three-dimension and their relativistic generalization -- Ward-Takashi identities as a necessary and sufficient condition for gauce invariance -- Supersymmetric generalization of Riemannian symmetric pairs -- Composite gauge fields and Riemannian geometry -- Gauge-theory ghosts and unitarity - Progress in the geometrical treatment -- Color in internal supersymmetry unification -- Canonical (possibly Lagrangian) realizations of the Poincare' group with increasing mass-spin trajectories -- Similarity analysis of wave propagation in axially nonlinear nonhomogéneous systems.

In: Springer eBooks

Additional Edition: ISBN 3-540-10271-X

Language: English

DOI: 10.1007/3-540-10271-X

URL: http://dx.doi.org/10.1007/3-540-10271-X