A bstract We construct Poisson bracket relations between the operators which generate chiral ring of Coulomb branch certain 3 d $$ \mathcal{N} N = 4 quiver gauge theories. In case where is a free space, ADE Klein singularity, or minimal 2 nilpotent orbit, we explicitly compute brackets generators using either...

Compactification of M-theory and IIB string theory on threefold canonical singularities gives rise to superconformal field theories (SCFTs) in 5d 4d, respectively. The resolutions deformations the encode salient features SCFTs their moduli spaces. In this paper, we build Part 0 series (arXiv:2007.15600) further explore physics arising from isolated hypersurface singularities. We study detail th...

In this paper, dynamic and stability analysis of a flexible cam-follower system is investigated. Equation of motion is derived considering flexibility of the follower and camshaft. Viscous and Coulomb frictions are considered in the rocker arm pivot. The normalized equation of motion of the system is a 2nd- order differential equation with periodic coefficients.&#10Floquet theory is employed to...

We treat Nelson’s Hamiltonian HN(κ) under the infrared singularity condition [Ar, (3.14)]. HN(κ) describes a system of a quantum particle moving on the 3-dimensional Euclidean space R3 under the influence of an external potential V and interacting with a massless scalar Bose field. Betz et al. showed in [BHLMS, (6.7)] that soft photon number for Nelson’s Hamiltonian with external potentials in ...

Non-equilibrium Coulomb effects in resonant tunnelling through deep impurity states are analyzed. It is shown that Coulomb vertex corrections to the tunnelling transfer amplitude lead to power law singularity in current-voltage characteristics. Localized states of individual impurity atoms and interacting impurity clusters can play the key role in tunnelling processes in small size junctions an...

A new method for implicit integration of the Mohr-Coulomb non-smooth multisurface plasticity models is presented, and Koiter’s requirements are incorporated exactly within proposed algorithm. Algorithmic numerical complexities identified introduced by nonsmooth intersections surfaces; then, a projection contraction algorithm applied to solve classical Kuhn–Tucker complementary equations which p...

Electronic structure calculations are mostly carried out with Coulomb potential singularity adapted basis sets such as STO or contracted GTO. With another for heavy elements, the pseudopotentials may appear a practical alternative. Here, we introduce exact pseudopotential (EPP) to remove and test it orbitals of small atoms interpolating wavelet set. We apply EPP Galerkin method set consisting D...

in this paper, we investigate the canonical property of solutions of a system of differentialequations having a singularity and turning point of even order. first, by a replacement, we transform thesystem to the sturm-liouville equation with a turning point. using the asymptotic estimates for a specialfundamental system of solutions of sturm-liouville equation, we study the infinite product rep...