Fractional quantum Hall effect in nonuniform magnetic fields.

Investigations of the fractional quantum Hall effect are extended to spatially varying magnetic fields. Approximate single-particle wave functions are proposed and compared with ones obtained by numerical integration. As in the uniform field case, the interacting many-electron system forms an incompressible fluid and has fractionally charged excitations. Field inhomogeneities can trap collective excitations. © 1990 The American Physical Society

Corrections to the Thomas-Fermi model of the atom

A WKB approximation to the Hartree equations for an atom, taking the 1 r singularity of the potential into account, is developed. This in turn allows us to obtain in a systematic way the Z -1 3 and Z -2 3 corrections to the Thomas-Fermi model of the atom. Such a procedure is used to obtain a finite change density at the nucleus, which agrees well with Hartree-Fock values. © 1982

Peccei-Quinn mechanism and dimension-six CP-violating operators.

It is shown that the Peccei-Quinn mechanism will, in the large-N limit, remove dimension-six CP-violating operators constructed solely out of gauge fields. Such operators have been recently proposed as a source of a possibly large neutron electric dipole moment. © 1991 The American Physical Society

Scaling, light-cone expansion, and the Van Hove model

With certain assumptions on the coupling of two currents to particles of increasing spin, it is shown that the Van Hove model results in Bjorken scaling and Regge asymptotic behavior. The fields corresponding to these particles are related to the products appearing in the operator-product expansion near the light cone. © 1971 The American Physical Society

Recent high-energy multiplicity distributions in the context of the Feynman fluid analogy

Recent accelerator data on multiplicity distributions are reexamined within the context of the Feynman fluid analogy. An interpretation of the data put forward is that the diffractive component decreases logarithmically with energy. © 1973 The American Physical Society

Multiple vacua for non-abelian lattice gauge theories

The various formulations of gauge theories characterized by the parameter θ are constructed for the lattice version of these theories. We do not rely on the existence of topologically stable solutions of the classical equations. These constructions are based on the existence of inequivalent representations of the canonical commutation relations. © 1979

Isospin mixing in charmonium states

The "molecular" charmonium models predict both I = 0 and I = 1 states. The closeness of one of these (4.028 GeV) to one of its main thresholds and the large electromagnetic mass splitting of its daughters may induce a large mixing between states of different isospin. This would manifest itself in deviations from unity of the ratio of charged to neutral decay modes. © 1977 The American Physical Society

Photoproduction of intermediate vector bosons

A peripheral collision calculation of the process γ + p → W + ..., where W is an intermediate vector boson, is performed. Results and possible detection schemes are discussed. © 1963

Equivalence of lattice gauge and spin theories

It is shown that a lattice gauge theory based on the group G is equivalent to a lattice spin theory invariant under a global group which is an infinite direct product of G's. A method of inducing a lattice gauge theory is presented. © 1983

Analytic properties of current-algebra vertex functions

An expansion of the vector-current vertex is obtained in terms of the Joos spinor amplitudes. As these are free of kinematic singularities, one can remove them from the vertex that enters into the algebra-of-currents sum rules. If one assumes unsubtracted dispersion relations for the resulting form factors, then the sum rules can be cast into a form which involves Bessel transforms of these form factors. © 1968 The American Physical Society