Sentence examples for expectation values for from inspiring English sources

Grey lines are expectation values for the first branch of single doublon-holon pair excitations.

Expectation values for pinwheel densities in spherical maps may be evaluated with the same methods we used in the previous sections.

When the reports on the interested topics are prepared from the query and report list, equation (4) is used to determine the expectation values for pairing with queries.

In Ref. [24], it was found that, once one enters the MI regime, these do not coincide with the expectation values for Boltzmann distributions (in the many-body eigenstates) with the corresponding value of total energy anymore (cf. Section 3).

In this case, the expectation values for ATE+ and ATE− can be derived as functions of P: ATE + = P log 2 ( P / 0.5 ) and ATE − = ( 1 − P ) log 2 [ ( 1 − P ) / 0.5 ].

Another approach, involving an infinite series polynomial expansion, will be given here and used to derive the scaling of the edge-confined expectation values for the kinetic and potential energy.

It has the interpretation of an expectation value for the frequency.

From (22), the conditional expectation value for the symbol is obtained (23).

The modified version that they adopted is that there are no cyclic processes, whose sole result is to restore a system to its initial state and having a strictly positive expectation value for the conversion of heat into work.

Using the C⁎ algebraic scattering approach to study quasifree fermionic systems out of equilibrium in quantum statistical mechanics, we construct the nonequilibrium steady state in the isotropic XY chain whose translation invariance has been broken by a local magnetization and analyze the asymptotic behavior of the expectation value for a class of spatial correlation observables in this state.

A common reworking of the modified form, but which is clearly stronger, is that the demon cannot operate a cycle, in finite time, in which the expectation value for work produced is positive, as repetition of such a cycle could produce arbitrarily large amounts of work with probability arbitrarily close to one.