Assuming that this curve has an axis of symmetry, we prove that semiclassical tunneling occurs. The main result is an expression of the splitting of the first two eigenvalues and an explicit tunneling formula.Alfa, Khaled AbouJournal of Spectral Theory...
With the help of quantum mechanics, we have understood concepts like particles confined in a box of infinite potential that gave us important formulae such as wave function of the particle, expression of energy that elaborated the fact of discreteness. Similar to this quantum physics introduced ...
In this paper, we study the low lying spectrum of a Schrödinger operatoron a vector bundleover a smooth oriented Riemannian manifoldM. More precisely, in the limit, we analyze the tunneling effect for operators of the form acting on the spaceof smooth sections of, whereLis a symmetric Lapl...
4H-SiC pn结型二极管击穿特性中隧穿效应影响的模拟研究 The simulation study of the tunneling effect in the breakdown of 4H-SiC pn junction diode;
Our formalism takes into consideration not only the effect of the Coulomb interactions in the barrier but also the time delay of the electron crossing the barrier. This is hidden in the strong energy dependence of the tunneling transmission. Under these conditions, the FDR cannot be satisfied ...
Assuming the non-vertical interlayer spin-flip tunneling, we calculate the interlayer magnetoresistance using the Kubo formula. The crossover magnetic field, at which the interlayer magnetoresistance changes from positive to negative is shifted by the Zeeman energy and in good agreement with the ...
Whether the snow is wet or dry has a big effect. There are two principal types of road and rail snowplough: push ploughs and rotary ploughs. The former behave like bulldozers and push snow to one side. It must be fun to drive a locomotive to charge into a drift at 50 mph! However,...
Analysis of the general formula for the relaxation time in the limit cases of high and low temperatures shows it to be consistent with earlier approximate solutions and allows determining more precisely the region of non-Arrhenius relaxation.
Section 2 presents an overview of the proposed method, while section 3 presents a comparison among BP, CBP, and BBP methods through quantitative analysis of simulation and imaging effect. Section 4 discusses the application of the method on Shanghai metro. Finally, discussion and conclusion are ...
A concise formula, i.e., Landau–Zener formula1,2, has been obtained for a model Hamiltonian describing the two-band system as H=(vℏkδδ−vℏk), (1) where ±vℏk are the energy dispersions and 2δ is the energy gap. Under an external electric field E, the wavenumber k...