6,600 research outputs found

    Periodic functions for Hecke triangle groups, and the Seiberg zeta functions as a Fredholm determinant

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    Lower bounds for Lyapunov exponents of flat bundles on curves

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    Stabilization of colloidal palladium particles by a block copolymer of polystyrene and a block containing amide sidegroups

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    A block copolymer of polystyrene and poly(tert-butylmethacrylate) was prepared by anionic polymerization. The ester groups of the poly(tert-butylmethacrylate) were hydrolyzed, after wich the remaining carboxyl groups were reacted with pyrrolidine. The resulting block copolymer with amide sidegroups was used for stabilization of a palladium colloid in toluene

    Shape transition and oblate-prolate coexistence in N=Z fpg-shell nuclei

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    Nuclear shape transition and oblate-prolate coexistence in N=ZN=Z nuclei are investigated within the configuration space (2p3/22p_{3/2}, 1f5/21f_{5/2}, 2p1/22p_{1/2}, and 1g9/21g_{9/2}). We perform shell model calculations for 60^{60}Zn, 64^{64}Ge, and 68^{68}Se and constrained Hartree-Fock (CHF) calculations for 60^{60}Zn, 64^{64}Ge, 68^{68}Se, and 72^{72}Kr, employing an effective pairing plus quadrupole residual interaction with monopole interactions. The shell model calculations reproduce well the experimental energy levels of these nuclei. From the analysis of potential energy surface in the CHF calculations, we found shape transition from prolate to oblate deformation in these N=ZN=Z nuclei and oblate-prolate coexistence at 68^{68}Se. The ground state of 68^{68}Se has oblate shape, while the shape of 60^{60}Zn and 64^{64}Ge are prolate. It is shown that the isovector matrix elements between f5/2f_{5/2} and p1/2p_{1/2} orbits cause the oblate deformation for 68^{68}Se, and four-particle four-hole (4p−4h4p-4h) excitations are important for the oblate configuration.Comment: 6 pages, 5 figures, accepted for publication in Phys. Rev.

    A scanning force microscopy study on the morphology of elastomer-coagent blends

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    Atomic force scanning microscopy (AFM) was used to investigate the dispersion of low molecular weight compounds in ethylene-propylene copolymers (EPM). Where other microscopical techniques failed to provide morphological details of this type of blend, as a result of the restricted resolution (light microscopy) or the volatility of the low molecular weight component (SEM), the AFM technique provided surface images, which show inclusions in the matrix of the uncrosslinked polymers

    Momentum-resolved study of the saturation intensity in multiple ionization

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    We present a momentum-resolved study of strong field multiple ionization of ionic targets. Using a deconvolution method we are able to reconstruct the electron momenta from the ion momentum distributions after multiple ionization up to four sequential ionization steps. This technique allows an accurate determination of the saturation intensity as well as of the electron release times during the laser pulse. The measured results are discussed in comparison to typically used models of over-the-barrier ionization and tunnel ionization

    Period functions for Hecke triangle groups, and the Selberg zeta function as a Fredholm determinant

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    We characterize Maass cusp forms for any cofinite Hecke triangle group as 1-eigenfunctions of appropriate regularity of a transfer operator family. This transfer operator family is associated to a certain symbolic dynamics for the geodesic flow on the orbifold arising as the orbit space of the action of the Hecke triangle group on the hyperbolic plane. Moreover, we show that the Selberg zeta function is the Fredholm determinant of the transfer operator family associated to an acceleration of this symbolic dynamic
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