Determining the optimal integration of renewable energy–based distributed generation units (DGUs) in electric distribution systems brings many positive technical and economic impacts contributes significantly for improving performance system. The suitable installation DGUs is always a challenging problem because output behaviors DGUs, specifically photovoltaic (PVUs) wind turbine (WTUs) are strongly affected by stochastic natural conditions. In this study, main purpose to address nonlinear...

A hydrogen atom in a constant magnetic field is problem whose Schrödinger equation has been considered to be analytically unsolvable. However, it found for the case of two-dimensional space some specific values which analytical solutions. In this paper, we give full theory these First, construct an calculate exact-solution-points, allow exact solutions equation. The explicit forms wave functions corresponding are also given. Second, analyse exact-solution-points and discover important rules....

Reduced exciton mass, polarizability, and dielectric constant of the surrounding medium are essential properties for semiconducting materials, they have been extracted recently from magnetoexciton energies. However, acceptable accuracy suggested method requires very high magnetic intensity. Therefore, in present paper, we propose an alternative extracting these material available experimental s-state energies monolayer transition-metal dichalcogenides (TMDCs). The is based on sensitivity to...

Exact analytical solutions of the Schrödinger equation for a two-dimensional purely sextic double-well potential are proved to exist denumerably infinite set geometry parameter well. First, values which allow exact determined. Then, explicit wave functions and corresponding energies calculated allowed values. Concrete given principal quantum number n up 10. Moreover, some interesting rules obtained also given; particularly, negative energy levels is obtained. For analyzing their...

The Feranchuk-Komarov operator method is developed by combining with the Levi-Civita transformation in order to construct analytical solutions of Schrödinger equation for a two-dimensional exciton uniform magnetic field arbitrary strength. As result, expressions energy ground and excited states are obtained very high precision up four decimal places. Especially, uniformly stable whole range field. This advantage appears due consideration asymptotic behaviour wave-functions strong results...

The energy spectrum of a hydrogen atom in plasma has been interest physics until now. This problem is also quite important for astrophysics when considering the system magnetic field. work suggests method numerically solving Schrödinger equation plasma-embedded uniform field using more generalized exponential cosine screened Coulomb potential (MGECSC). first special feature to convert into an anharmonic oscillator by Kustaanheimo–Stiefel transformation. second one exactly calculate matrix...

To separate the motion of center mass for exciton in a constant magnetic field, Donk et al. [Phys. Rev. B 97, 195408 (2018)] considered case zero angular momentum and assumed equality electron hole masses. Within these approximations, they removed operator from Schr\"odinger equation were able to obtain Hamiltonian describing electron-hole relative motion. In this Comment paper, we show that assumptions mentioned above are not justified, and, as consequence, given is incorrect. addition,...

Research has shown that the concept of force in a pulley is learned equally well by students using physical and virtual manipulatives. We report on study which enrolled conceptual physics laboratory spent two weeks investigating systems either or Students were given written materials guided them through series activities scaffolded construction their conceptions pulleys. required to make predictions then test these building comparing different systems. They presented with challenge design...

We derive an analytical expression for $s$-state exciton energies in monolayer transition-metal dichalcogenides (TMDCs): $E_{\text{ns}}=-{\text{Ry}}^*\times P_n/{(n-1/2+0.479\, r^*_0/\kappa)^2}$, $n=1,2,...$, where $r^*_0$ and $\kappa$ are the dimensionless screening length dielectric constant of surrounding medium; $\text{Ry}^*$ is effective Rydberg energy scaled by reduced mass; $P_n(r^*_0/\kappa)$ a function variables $n$ $r^*_0/\kappa$. Its values around 1.0 so we consider it term that...

Recent research results have found that students using virtual manipulatives perform as well or better on measures of conceptual understanding than their peers who used physical equipment. We report a study with in physics laboratory either to investigate forces pulley systems. Written materials guided through sequence activities designed scaffold force The activity sequences facilitated students' sense making by requiring them make and test predictions about various systems building...

Reduced exciton mass, polarizability, and dielectric constant of the surrounding medium are essential properties for semiconducting materials, they have been extracted recently from magnetoexciton energies. However, acceptable accuracy suggested method requires very high magnetic intensity. Therefore, in present paper, we propose an alternative extracting these material available experimental s-state energies monolayer transition-metal dichalcogenides (TMDCs). The is based on sensitivity to...