Sentence examples for evolution operator we from inspiring English sources

By virtue of exponential stability of the impulsive evolution operator, we present the existence, uniqueness and global asymptotical stability of periodic solutions.

By the linearity and continuity of the integral and the evolution operator U ( t, s ), we have that the operator g → e ′ ( ∫ a t U ( t, s ) g ( s ) d s ). is a linear and continuous operator from L 1 ( [ a, t ] ; E ) to ℝ for all t ∈ [ a, b ].

Hence we approximate the evolution operator as a unitary using a Magnus expansion [56, 57].

In this case the realized evolution operator approaches the target operation as (tilde {U} tau) rightarrow mathbf {I}), establishing the condition for suppression of noisy evolution dynamics.

In the absence of noise interactions, state evolution is determined by (idot{U}_{c}(t)={H}_{c} (t)U_{c}(t)) with (U_{c}(t)) the ideal evolution operator describing the target operation.

By means of spectral splitting methods we prove that the evolution operator is approximated by the Lie evolution operator, where the kernel of the Lie evolution operator is explicitly written.

we start defining the evolution operator associated with the family A t), t ∈ [0. b].

In order to evolve fluxes along the cell interfaces we use multi-dimensional approximate evolution operator.

In a natural way, we can consider the respective evolution operator (U Jtimes Jrightarrow L X)), where (L X)) is the space of all bounded linear operators in X.

In order to do so, we have to compute an evolution operator that, for a given initial state |i\rangle, will give a final state \langle f| in such a way to have M_{fi}=\langle f|U|i\rangle.

This evolution operator only has meaning as a series, and what we get here is a perturbation series with the fine structure constant as the development parameter.