We consider a planar SIS-type Josephson junction between diffusive superconductors (S) through an insulating tunnel interface (I). construct fully self-consistent perturbation theory with respect to the conductance. As result, we find correction first harmonic and calculate second harmonic. At arbitrary temperatures, correct previous results for nonsinusoidal current-phase relation in junctions...

$\mathcal{H}-$holomorphic curves are solutions of a specific modification the pseudoholomorphic curve equation in symplectizations involving harmonic $1-$form as perturbation term. In this paper we compactify moduli space with priori bounds on $1-$forms.

Let Jσ be the Dunkl harmonic oscillator on R (σ > −1/2). For 0 < u < 1 and ξ > 0, it is proved that, if σ > u − 1/2, then the operator U = Jσ + ξ|x|−2u, with appropriate domain, is essentially self-adjoint in L(R, |x|dx), the Schwartz space S is a core of U 1/2 , and U has a discrete spectrum, which is estimated in terms of the spectrum of Jσ. A generalization Jσ,τ of Jσ is also considered by t...

The three-step model (TSM) of high-harmonic generation (HHG) is generalized to atomic and molecular many-electron systems. Using many-body perturbation theory, corrections to the standard TSM due to exchange and electron-electron correlations are derived. It is shown that canonical Hartree-Fock orbitals represent the most appropriate set of one-electron states for calculating the HHG spectrum. ...

In this paper we apply the method developed by Rice [1], of solving for the elastic field of a crack with a front perturbed from some reference shape, to solve the elasticity problems of somewhat circular planar tensile cracks under arbitrary load distributions. The method is based on a known solution for the stress intensity factor along a circular crack due to a pair of wedge-opening point fo...

The linear flow analysis of turbomachinery aeroelasticity views the unsteady flow as the sum of a background nonlinear flow field and a linear harmonic perturbation. The background state is usually determined by solving the nonlinear steady flow equations. The flow solution representing the amplitude and phase of the unsteady perturbation is instead given by the solution of a large complex line...

According to the scheme of action solar dynamo, poloidal magnetic field can be considered a source production toroidal by differential rotation. From polar proxies, it is natural expect that Cycle 25 will weak as recorded in sunspot data. We suggest there are parameters zonal harmonics surface field, such magnitude $\ell$=3 harmonic or effective multipole index, used reasonable addition proxies...

A reconstruction algorithm for microwave imaging based on the Modified Perturbation Method (MPM) is proposed. Both the object conductivity (σ) and permittivity (ε) are reconstructed. The original Perturbation method developed for static problems was modified in order to apply in time harmonic problem in higher frequency. The Jacobian matrix is now calculated in closed form employing an adjoint ...

We present a nonfeedback method to tame or enhance crisis-induced intermittency in dynamical systems. By adding a small harmonic perturbation to a parameter of the system, the intermittent behavior can be suppressed or enhanced depending on the value of the phase difference between the main driving and the perturbation. The validity of the method is shown both in the model and in an experiment ...