We examine the e€ect of the diagonal Born±Oppenheimer correction on dynamics in two simple systems ± the Hooke's atom in an external harmonic potential and the collinear hydrogen exchange reaction. The transmission probability for the Hooke's atom, calculated within the Born±Oppenheimer approximation, is simply shifted in energy with respect to the exact result, and this is corrected by the dia...

The meson(K and π) exchange currents for the hypernuclear magnetic moments are calculated using the effective Lagrangian method. The seagull diagram, the mesonic diagram and the Σ-excitation diagram are considered. The Λ-N exchange magnetic moments for the 5ΛHe, 6 ΛHe and 6 ΛLi are calculated employing the harmonic oscillator shell model. It is found that the two-body correction is about -9% of...

We explicitly compute the complete three-loop (O(g 4)) contribution to the four-point function of chiral primary current-like operators˜q 2 q 2 ˜ q 2 q 2 in any finite N = 2 SYM theory. The computation uses N = 2 harmonic supergraphs in coordinate space. Dramatic simplifications are achieved by a double insertion of the N = 2 SYM linearized action, and application of supercon-formal covariance ...

The fact that the ground-state first-order density matrix for Bosons in a parabolic potential with interparticle harmonic interactions is known in exact form is here exploited to study collective excitations in the weak-coupling regime. Oscillations about the ground-state density are treated analytically by a linearized equation of motion which includes a kinetic energy contribution. We show th...

The second harmonic generation (SHG) anisotropy of an Au(110) electrode has been studied over a wide potential range varying from [600 mV, where the surface is micro-faceted, to the unreconstructed surface at 600 mV. The interference SHG anisotropy (ISHGA), a new approach which allows one to measure directly the non-linear polarizability of the surface was used. The potential dependence of the ...

The proposed contribution describes a method for the detection and classification of harmonic transients, as they occur in electrical networks. The method uses, as bases, a special class of wavelet-packets, i. e. smooth biorthogonal sine and cosine-packets in order to find the best ’’Shannon-basis“. The algorithm is based on the minimization of Shannon‘s function for the decomposed wanted signa...

Superconductor–ferromagnet–superconductor (SFS) Josephson junctions are known to exhibit a transition between π and 0 states. In this letter, we find the π–0 phase diagram of an SFS junction depending on the transparency of an intermediate insulating layer (I). We show that, in general, the Josephson critical current is nonzero at the π–0 transition temperature. Contributions to the current fro...

We consider the reconstruction of a spatially-dependent scattering coefficient in a linear transport equation from diffusion-type measurements. In this setup, the contribution to the measurement is an integral of the scattering kernel against a product of harmonic functions, plus an additional term that is small when absorption and scattering are small. The linearized problem is severely ill-po...

In this contribution, an inverse-class-F (F -1 ) power amplifier at 1.7 GHz using GaN device is proposed and experimentally tested. The novelty in the design is the use of a three-layers rectangular slot resonators in microstrip line’s ground plane as harmonic filter. In particular, a planar periodic structure composed by two different slot resonators is used to control 2 nd , 3 rd harmonics an...

Nonadiabatic processes may involve both classical-like and quantum-like coordinates. A semiclassical analysis is used to treat the contribution of the former to the Franck-Condon factor in the reaction rate expression, thereby avoiding the usual harmonic oscillator approximation. Microcanonical and canonical rate constants are calculated, yielding an expression which includes contributions from...