Solitary wave evolution for a higher order Hirota equation is examined. For the higher order Hirota equation resonance between the solitary waves and linear radiation causes radiation loss. Soliton perturbation theory is used to determine the details of the evolving wave and its tail. An...

In the present work, a novel DC glow discharge source with configurations of hollow cathode electrodes had been developed. Discharge properties of the plasma source had been characterized. Experimental data indicated that the discharge current of the plasma source increased with the discharge...

Diamond-like carbon, DLC, thin films which is an amorphous hydrogenated form of carbon, a-C:H, has been synthesized by CVD method. SEM imaging, back-scattering Raman spectroscopy and reflected FT-IR spectroscopy have been used for characterization of the synthesized thin films. Kramers–Kronig...

The phase transitions of [N(C3H7)4]2Cd2Cl6 have been evidenced by differential scanning calorimetry (DSC), and the different phases have been studied by Raman scattering on single crystals, in the frequency range 50–3900 cm−1 for temperatures ranging between 294 and 451 K. On heating, two...

In this paper we provide first for a brief overview of some of the work which has been performed on the interface of quantum mechanics and macroscopic systems (such as economics). We then provide for an overview of how such quantum mechanical concepts can enter financial option pricing theory....

In this note we consider the D-optimal design problem for the heteroscedastic polynomial regression model. Karlin and Studden (1966a) found explicit solutions for three types of efficiency functions. We introduce two ‘new’ functions to model the heteroscedastic structure, for which the...

The objective of this paper is to axiomatically derive quantum mechanics from three basic axioms. In this paper, the Schrödinger equation for a characteristic function is first obtained and from it the Schrödinger equation for the probability amplitudes is also derived. The momentum and...

A generalized Schrödinger equation for describing irreversible processes is introduced. It reveals that the wave function probability for an open system is not necessarily conservative, and enables a number of irreversible kinetic equations to be derived. One example in the field of quantum...

We present exact solutions for the position-dependent mass Schrödinger equation (PDMSE) in an annular billiard with impenetrable walls where the mass is allowed to depend on the radial position, i.e., μ=μ(r). Exact wavefunctions are calculated explicitly for four mass distributions.

We study the classical motion of a particle subject to a Wiener-type stochastic force of general nature. We then present a perturbative scheme for the associated Ito Fokker–Planck equation. The first two terms of this expansion arc noise independent and result in a theory that is similar to...