Sentence examples for evolution operator and from inspiring English sources

The current oscillations are interpreted with density of states (DOS) analysis and methods of evolution operator and tight-binding Hamiltonian.

The method involves a power series expansion of the evolution operator and treatment of singularities at φ = 0 by L'Hospital's rule.

We use an explicit scheme for the solution of parabolic problems, based on a Chebyshev expansion of the evolution operator and the Fourier pseudospectral method to compute the spatial derivatives.

We also explore the connection between eigenfunctions of the projected evolution operator and (non-normalizable) eigenfunctions of the full evolution operator, as well as the effect of truncating the computational domain.

To this aim, we suggest a parallel algorithm based on the Taylor series expansion of the evolution operator, and compare its performances with those of algorithms based on the exact diagonalization of the Hamiltonian or a 4th order Runge Kutta integration.

Then (A t)) generates an evolution operator and (R t,s)) can be reduced by this evolution operator such that ((A_{1})) is satisfied (see [26] for details).

We derive a well-balanced approximation of the evolution operators and prove that the FVEG scheme is well-balanced for the multilayer lake at rest states even in the presence of wet/dry fronts.

Under these assumptions, the family generates a unique linear evolution system, or called linear evolution operators, and there exists a family of bounded linear operators with such that has the representation.

We consider Φ : T × X → B ( V ) given by Φ ( t, r, x ) v = e ∫ r t x ( τ − r ) d τ v, which is an evolution cocycle and C = is a skew-evolution semiflow on Y. Remark 2.5 The skew-evolution semiflows are generalizations of the evolution operators and of the skew-product semiflows (cf. [21], Example 2 and 3).

While selection may be considered as an evolution operator, crossover and mutation serve as genetic operators.

The algorithm is based on splitting the time evolution operator e−iε(T+V) and evaluating the momentum operation (e−iεT) in a designed reciprocal space.