Non-stationary Curves Research Articles

Characterization of the Absence of Polar and Inter-valley Scattering Mechanisms from Charge-Carrier Energy Curves for “In0.53Ga0.47As” Using Monte Carlo Simulation

In this work, we present a study of the characterization of the existence and absence of polar and inter-valley scattering mechanisms in In0.53Ga0.47As through analysis of the stationary and non-stationary curves of charge-carrier energy. The absence of polar scattering mechanisms is determined from the observation of a marked increase in carrier energy on the stationary curve of charge carriers energy as a function of applied electric field whose a dramatic and fastly increase of charge carriers energy is registered in their absence. In contrast, the absence of inter-valley scattering mechanisms is determined by the presence of an increase in carrier energy on the non-stationary curve as a function of applied electric field.

STATIONARY CONNECTED CURVES IN HILBERT SPACES

In this article the structure of non-stationary curves which are stationary connected in Hilbert space is studied using triangular models of non-self-adjoint operator. The concept of evolutionary representability plays here an important role. It is proved that if one of two curves in Hilbert space is evolutionary representable and the curves are stationary connected, then another curve is evolutionary representable too. These curves are studied firstly. The structure of a cross-correlation function in the case when operator, defining the evolutionary representation, has one-dimensional non-Hermitian subspace (the spectrum is discreet and situated in the upper complex half-plane or has infinite multiplicity at zero (Volterra operator)) is studied.

Nonstationary curves in Hilbert spaces and their correlation functions II

One stohastic process after A. Kolmogorov can be considered as a curve in Hilbert space. The stationary random curves, i. e. such curves, the correlation functions (CF) of which depend on the difference of the arguments, have been studied by S. Bohner [1] and A. Hinchin [2]. These authors have obtained spectral representation of the stohastic stationary processes in the form

Nonstationary curves in Hilbert spaces and their correlation functions I

Nonstationary curves in Hilbert spaces and their correlation functions I