The discrete Painlevé I equation (dPI) is an integrable difference equation which has the classical first Painlevé equation (PI) as a continuum limit. dPI is believed to be integrable because it is the discrete isomonodromy condition for an associated (single-valued) linear problem. In this paper, we derive higher-order difference equations as isomonodromy conditions that are associated to the ...

We describe the gluon plasma in zeroth order as a gas of free quasi-particles with a temperature-independent dispersion relation of Gribov type, E(k) = k 2 + M 4 k 2 , that results from the restriction of the physical state space to the Gribov region. The effective mass M 2 k controls infrared divergences of finite-temperature perturbation theory. The equation of state of this gas is calculated...

A wideband on-body antenna for a wireless body area network for an Industrial, Scientific, and Medical band is proposed. A wideband characteristic is achieved by combining two zeroth-order resonance (ZOR) modes at adjacent frequencies by controlling the value of the shunt capacitance. The size of the proposed antenna is 0.072λ0 × 0.33λ0, and the measured 10-dB return loss bandwidth is 340 MHz (...

A model for intrinsic decoherence in quantum mechanics is proposed, based on a simple modification of unitary Schrodinger evolution. On sufticiently small time scales the system evolves by a random sequence of unitary phase changes generated by the Hamiltonian. The Schrodinger equation is obtained to zeroth order in the expansion parameter. Higher-order corrections lead to a loss of coherence i...

This paper describes the plasmonic modes in the parabolic cylinder geometry as a theoretical complement to the previous paper (J Phys A 42:185401) that considered the modes in the circular paraboloidal geometry. In order to identify the plasmonic modes in the parabolic cylinder geometry, analytic solutions for surface plasmon polaritons are examined by solving the wave equation for the magnetic...

We study first order fluctuations of a relativistic membrane in the curved background of a black hole. The zeroth-order solution corresponds to a spherical membrane tightly covering the event horizon. We obtain a massive KleinGordon equation for the fluctuations of the membrane’s radial coordinate on the 2+1 dimensional world-volume. We finally suggest that quantization of the fluctuations can ...

The spectrum of massless Dirac fermions on the surface a topological insulator in perpendicular magnetic field B contains B-independent “zeroth Landau level”, protected by chiral symmetry. If equation is discretized lattice method “Wilson fermions”, symmetry broken and zeroth level broadened when has spatial fluctuations. We show how this artefact can be avoided starting from an alternative non...

The mathematical representation of chemical bonds in molecules is discussed. The molecule is viewed as a system of weakly interacting chemical bonds. The intrabond problems and the averaged electrostatic interbond interactions are handled at the . zeroth order, while the small interbond delocalization and dispersion effects are taken into account on the basis of the perturbation theory. A speci...