The possibility of observing a new type

The possibility of observing a new type of quantum transport in an inelastic channel was predicted on the assumption that the motion of electrons occurs in such a manner that in addition to inelastic scattering, the electrons experience single scattering through a large angle. Later it was revealed that the new type of weak localization is also preserved under multiple elastic scattering through arbitrary angles [3]. It was also established that the role of the surface in the theory on the new type of quantum transport is not destructive, and may even in some cases be determining. This preserved localization and the role of the surface are the key factors regarding the manifestations of the new type of weak localization in natural processes, as well as in the possibility of directly observing the effect.
New type of weak localization in surface azilsartan medoxomil emission The quantitative differences in the magnitudes of the orientation effects associated with the new type of weak localization in the particles inelastically scattered by the solid are also important from the standpoint of practical applications of the findings of this study. Previously, it was established in Ref. [4], using the model of isotropically scattering force centers, that quantum transport of the new type also occurs under multiple scattering of electrons through arbitrary angles. This process is accompanied by a weak localization of electrons scattered by the disordered medium. It is not necessary to use the model of isotropic scattering centers [11]. Let us examine the scattering processes occurring during the incidence of intermediate-energy electrons upon a disordered solid. The solid occupies the half-space z >0. The Schrödinger equation for the total wave function of the system consisting of a particle interacting with the medium has the form where m is the mass of the electron; r is the position vector of the scattered particle; R is the set of the coordinates of the particles in the medium, associated with its internal degrees of freedom; U(r) is the total potential of the randomly distributed scattering centers, for which the particle is scattered elastically or inelastically; the operator (r) describes the interaction of the particles in the medium; the operator ; (r,R) is the energy for the interaction of the scattered particle under consideration with all the particles in the medium. In the general case, the potential U(r) will be complex (the so-called optical potential), with its imaginary part providing an additional opportunity for taking into account the averaged effect of inelastic processes on the dynamic parameters of the primary particle beam. The imaginary part U′(r) describes the average attenuation of the scattered particle beam due to inelastic processes. Of course, the division of the total potential of the interaction between the external electron and the particles in the medium into U(r) and U(r,R) is arbitrary. Total scattering of the external particle (elastic and inelastic) occurs on the total potential generated by the medium. It is the self-consistent problem that should be solved. However, we shall use the conventional approximation where the elastic (coherent and incoherent) scattering channels are described by the potential U(r), and associate the ‘main’ inelastic channel with the potential U(r,R), through which we can determine the matrix element T(r, m → n) of the inelastic interaction between the electron and the medium:
The wave functions of the medium, (R), forming a part of expression (2) satisfy the equation where = ℏω is the energy lost by the particle and gained by the medium. The wave function ψ(r, R) can be expanded into an incomplete orthonormal set of (R): which allows writing Eq. (1) in the form
If the initial state i is the main state of the medium, and its only excited state is n, Eq. (5) can be written as
The solution of this equation takes the form
Green\'s function in formula (7) describes the propagation of particles in elastic scattering with the energy equal to .