Sentence examples for evolution operator of from inspiring English sources

A new P system and related interaction rules are designed, and particle swarm optimization (PSO) algorithm with different inertia weights is adopted as the evolution operator of new P system.

Expressions for the energy eigenvalues and eigenvectors are derived, and an exact representation for the time-dependent unitary evolution operator of the system is given, by means of which we analyze the analytic form of the fluorescence spectrum using the transitions among the dressed states of the system.

Here R u (t, s) can be extracted from the evolution operator of the generator - A t, u).

In the general case, an evolution family ({U t,s)}_{tgeq s}) is related to an evolution operator of a linear dynamic equation on time scales.

We mention here that the resolvent operator (R t,s)) can be reduced from the evolution operator of the generator (A t)) under some suitable conditions (see [26] for the details).

For (U=8t^), the two spectral functions agree with maximum relative error of 10−8, since in this case (V=0) is found to be the self-consistent solution, whence the Trotterized evolution operator in Eq. (27) matches full evolution operator of the two-site SIAM, and thus there is no Trotter error.

By acting a time evolution operator on the wave functions of such displaced states, one can find the time evolution of the wave functions.

The FVLEG scheme is constructed by taking τ → 0 in the evolution operators of FVEG.

Essentially, the FDM algorithm works by considering the time-series to be the autocorrelation function of a fictitious dynamical system, such that the problem of finding the frequencies and decay constants is re-expressed as the problem of finding the eigenvalues of the complex-symmetric time-evolution operator of this system.

In this paper, we give an algorithm for the control of the unitary evolution operator for the system of two spin 12's interacting through Heisenberg interaction.

The analytic expression of the evolution operator for the electron spin in a quantum dot, which provides a clear geometrical interpretation of the qubit dynamics is obtained.