Recently, bootstrap methods from conformal field theory have been adapted for studying the energy spectrum of various quantum mechanical systems. In this paper, we consider application these in obtaining Schr\"odinger equation with periodic potentials, paying particular attention to Kronig-Penney model a particle one-dimensional lattice. With an appropriate choice operator basis involving posit...

Within the envelop-function framework, we developed the finite element method to calculate theminibands in the realist Silicon nanocrystal array. This method clearly reveals the miniband formation and accurately calculates the E–K dispersion relationship. In the simple 1D array, the deduced miniband structure matches well with the analytic Kronig–Penney method. More importantly, it can better s...

The title paper [Spectrochim. Acta A 213 (2019): 391–396] reports an improvement of the ”Poor Man’s Kramers–Kronig analysis” and ”Kramers–Kronig constrained variational thanks to ad hoc modification some analytical formulas existing in literature. This is not based on mathematical grounds. In this comment we show that no required but a correction formula used by authors 391–396].

2014 The complex dielectric function of Ni thin films deposited on fused silica and crystalline germanium substrates by thermal evaporation under ultra-high vacuum is deduced from optical measurements by various methods : from 6 to 0.5 eV from reflectance and transmittance measurements ; from 0.5 to 0.09 eV by a method based on A.T.R. and surface plasmon excitation; from 0.2 to 0.03 eV by a Kra...

We describe a simple magneto-optical experiment and introduce a magneto-optical Kramers-Kronig analysis (MOKKA) that together allow extracting the complex dielectric function for left- and right-handed circular polarizations in a broad range of frequencies without actually generating circularly polarized light. The experiment consists of measuring reflectivity and Kerr rotation, or alternativel...

This paper addresses the problem of calculating the bioimpedance phase angle from measurements of impedance modulus. A complete impedance measurement was performed on altogether 20 healthy persons using a Solatron 1260/1294 system. The obtained impedance modulus (absolute impedance value) values were used to calculate the Cole parameters and from them the phase angles. In addition, the phase an...

Abstract We consider the general response theory recently proposed by Ruelle for describing the impact of small perturbations to the non-equilibrium steady states resulting from Axiom A dynamical systems. We show that the causality of the response functions entails the possibility of writing a set of Kramers-Kronig relations for the corresponding susceptibilities at all orders of nonlinearity. ...

The nonlinear Scrödinger equation is studied for a periodic sequence of deltapotentials (a delta-comb resp. Kronig-Penney potential) or narrow Gaussian potentials. For the delta-comb the time-independent nonlinear Schrödinger equation can be solved analytically in terms of Jacobi elliptic functions and thus provides useful insight into the features of nonlinear eigenstates of periodic potential...