A study is undertaken to investigate an analytical solution for the N-dimensional Schrödinger equation with the Morse potential based on the Laplace transformation method. The results show that in the Pekeris approximation, the radial part of the Schrödinger equation reduces to the corresponding equation in one dimension. Hence its exact solutions can be obtained by the Laplace transformation method of G. Chen, phys. Lett. A 326 (2004) 55. In addition, a comparison is made between the energy spectrum resulted from this method and the spectra that are obtained from the two-point quasi-rational approximation method and the Nikiforov-Uvarov approach.

The high transparency condition of an overcritical warm plasma layer due to the excitation of electromagnetic surface modes was studied. This procedure requires evanescent incident waves on plasma layers, which is prepared here by placing two dielectric layers on both sides of a plasma film. The consequences for a cold plasma are also discussed and compared. Additionally, the transmission losses due to thermal effects and collisions in the considered structure are studied.

In this study, we investigate Faraday rotation of electromagnetic waves that are anomalously transmitted through an over-dense magnetized plasma layer. Here, magnetized plasma indicates that the plasma layer is immersed in a uniform magnetic field. Firstly, normally opaque over-dense magnetized plasma is shown to be transparent to obliquely incident electromagnetic waves. This high transparency can be achieved by providing conditions for resonant excitations of plasmonic modes. The resonant characteristics of the transmission coefficient of the considered structure are determined and discussed. The conditions under which the magnetized plasma behaves as a complete reflector are also obtained. Faraday rotation is shown to be enhanced under high transparency conditions. The reflected wave also exhibits Faraday rotation and is enhanced under total reflection conditions.

This study introduce a new frequency parameter called s fcwt , which can be used to estimate earthquake magnitude on the basis of the first few seconds of P-waves, using the waveforms of earthquakes occurring in Japan. This new parameter is introduced using continuous wavelet transform as a tool for extracting the frequency contents carried by the first few seconds of P-wave. The empirical relationship between the logarithm of s fcwt within the initial 4 s of a waveform and magnitude was obtained. To evaluate the precision of s fcwt , we also calculated parameters s max p and s c . The average absolute values of observed and estimated magnitude differences (jM est À M obs j) were 0.43, 0.49, and 0.66 units of magnitude, as determined using s max p , s c , and s fcwt , respectively. For earthquakes with magnitudes greater than 6, these values were 0.34, 0.56, and 0.44 units of magnitude, as derived using s max p , s c , and s fcwt , respectively. The s fcwt parameter exhibited more precision in determining the magnitude of moderate-and small-scale earthquakes than did the s c -based approach. For a general range of magnitudes, however, the s max p -based method showed more acceptable precision than did the other two parameters.

This paper attempts to introduce an effective mechanism of plasma heating of an overdense plasma layer. This mechanism is directly related to the phenomena of anomalous transparency of an overdense plasma layer. High temperature is achieved due to the resonant excitation of the coupled surface waves on both sides of the plasma layer. The dissipative energy of the collisional effects appears as an effective heating source in this mechanism. The solutions of the heat equation under the resonant situations are obtained in the steady and unsteady states conditions. The main factors, affecting the considered plasma heating mechanism, are also discussed. (© 2015 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)