In a preceding paper (here referred as I) [1], we have shown that infinitely negative potentials at large distances have finite ground state energy if use is made of complex wave functions. We revisit this work in the case of the − $|x|^n$ potentials. We first reconsider the ground state energies. Then we discuss the first excited state. Finally, for the $n = 4$ case, the 4 first levels are calculated, and compared to the results of Bender and Boettcher [2].

1. R.J. Lombard, S. Garidi and R. Mezhoud, Rom. J. Phys. 67, 104 (2022).
2. C.M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998).

In this study, we revisit the stochastic potential-KdV equation by considering the time-derivative of Caputo-type and the time-coordinate to be affected by proportional delay. We apply two approaches namely, fractional Maclaurin series and novel Homotopy perturbation method, to construct closed-form solutions to the proposed model. A graphical scheme is conducted to study the simulations of fractional time-derivative against the proportional delay-time. Finally, we investigate the influence of the model’s coefficients on the propagation of the obtained solutions.

We will achieve new configuration of the analytical solutions to the reaction-convection-diffusion equation (RCDE) which possess a significant role in mathematical physics applications and biological science. These new configurations of the analytical solution have been documented via the Paul-Painlevé approach method (PPAM) and the (G’/G)-expansion method. These two techniques are used for the first time to achieve these new configurations of the analytical solution of this equation. In addition, the numerical solutions analogous to all achieved analytical solutions have been detected via the variational iteration method (VIM) that usually gives good numerical solutions.

This paper concentrates on the characterization of Terfenol-D thin films through spectroscopic ellipsometry measurements. All the films were obtained by pulsed laser deposition, and their topographical, morphological, chemical composition and resistivity analysis was performed through atomic force microscopy, scanning electron microscopy, and energy dispersive X-ray measurements. By ellipsometry we have computed an optical model to fit the experimental data and obtain the optical constant’s dispersion. The obvious results were that the films have been oxidized, which influences the refractive index and extinction coefficient behavior to go from that of a metallic alloy to a material indicating a mixture of oxides. The results have not come as a surprise, since in the literature, most experimental trials of depositing and analyzing Terfenol-D films have encountered the same oxidation problem.

This software application can be successfully used in a quick calculation of the spatial distribution of muonic radiation passing through the detector. The software provides multiple sets of already processed data for various graphical representations.

The effects of microstructure on the mechanical properties of as-cast Al₇₂Ni₁₃Fe₁₅ and Al₇₂Ni₂₃Fe₅ alloys were investigated. These alloys were composed of decagonal quasicrystalline D-phase coexisting with Al-based intermetallics. The mechanical properties were characterized by means of microhardness indentation at room temperature. Fracture mode was examined by scanning electron microscopy. The ductility of the alloys tended to decrease with increasing iron content.

It is shown that minority current carriers in superconductors are those carriers that carry the superconducting current. This conclusion was made possible by the new method of minority charge carriers basic parameters determination in solid matter based on magnetoresistance curve analyses within the framework of the phenomenological semiclassical two-band model. These calculations also remove the problem of anomalous behaviour of the Hall Effect near the critical temperature of a superconductor.

The paper investigates the effect of heating of electrons, holes and crystal lattices on the currents of p-n-junction heterostructures. The article analyzes the power of a solar photocell, the dependence of the change in the filling factor and the efficiency of a photocell at different temperatures, on the electrons of the leakage resistance and the base resistance. Theoretical calculations are compared with the current-voltage characteristics, power, filling factor, and efficiency of heterostructures obtained experimentally.

An accurate estimation of solar cell and module parameters from current-voltage data is essential to study the behavior of the solar cell device and optimize their performance. In this work a simple, accurate and fast approach is presented to estimate the five parameters of the single diode equivalent solar cell/module using the measured current-voltage data and its derivative (G = dI / dV). These parameters are the photocurrent (I_ph), ideality factors (n), saturation current (I_s), series and shunt resistance (R_s, R_sh). A nonlinear least-square technique based on the Newton-Raphson and Lambert W-function method under MATLAB Program is applied to different solar cell technologies, including Mono-Si, Poly-Si, and organic solar cell based on TiO₂ anatase and rutile nanocrystal under different environmental conditions.

In this paper, novel models of the internal energy variation ΔU and the work W were investigated numerically using FORTRAN software. These are currently developed by employing a real gas theory represented by Berthelot state equation, which allows appearing the thermal and caloric imperfections. As opposed to past methodologies and models, it was observed that the new form of internal energy variation ΔU and the work W are exceptionally simple to use at any condition, especially critical to figure the adjustment of the internal energy variation ΔU and the work W when they fluctuates with pressure, it was previously difficult to obtain. This work is based on high theoretical development and strong numerical methods, furthermore, usually solves more accurate results and a higher speed of convergence. Applications of thermodynamics and physics to a variety of worked examples, especially the computation remains difficult in most fields, but with this study we extend the calculation whatever the circumstances. The comparison of error between the current model, which is based on real gas theory, and the PG model presents that the pressure-temperature combinations and the thermal-caloric imperfections effects play a significant role, and the error can reach up to 20%.

In this study, CuO nanostructures were synthesized through facile precipitation route followed by a typical annealing treatment at higher temperature and prolonged time. The SEM analysis revealed that the CuO exhibited various morphological transitions, namely sphere-like, sponge-like, and fiber-like nanostructure depending on the annealing temperature and time. According to the FTIR result, the high-intensity sharp peaks occurred between 500 and 850 cm^-1 represent the formation of pure vibrational stretching Cu-O bonds. CuO that underwent annealing treatment at higher temperature and prolonged heating time resulted in finer nanostructure formation, crystallinity improvement, and optical band gap narrowing. These features allow CuO to potentially be used as photocatalyst to degrade the aqueous organic dye pollutants for wastewater remediation applications.

In this paper, we have considered the problem of a pulsatory lipid vesicle. Under positive osmotic stress a giant lipid vesicle swells up to a critical diameter, when suddenly a transbilayer pore appears if the swelling process is slowly enough. A part of the intracellular material comes out of the cell through this transmembrane pore and the liposome membrane relaxes and finally, it recovers. The pore increases in the first part of its evolution, then decreases, and finally it closes. The both simultaneous dynamics processes described above start again and so on. The vesicle evolution is a cyclic process and the vesicle becomes a pulsatory one. Here we will obtain the differential equations of both the vesicle and the pore dynamics. Also, we will analyse characteristic parameters of the periodic process (swelling time, pore lifetime, number of cycles, the lengthtime of vesicle activity, material quantity leaked out during a cycle). Also, we present the condition to programme a n-cycles working vesicle.

The current study presents the results obtained using a hybrid setup of correlated complementary techniques that provides a real-time complex data package, with no sampling or sample preparation, by means of quasi-simultaneous analyses with micrometrical precision, dedicated to conservation and restoration of polychrome multilayer mural paintings. The paint layers were subjected to atomic and molecular characterization in order to identify the pigments and the binders, using Laser Induced Breakdown Spectroscopy (LIBS), Fourier Transform Infrared Spectroscopy (FTIR) and Hyperspectral Analysis (HYS). The data were correlated and used for the laser cleaning tests @1064 nm and @532 nm. The laser cleaning was assessed using colorimetry and optical microscopy techniques.