Sentence examples for matrix element becomes from inspiring English sources

From this expression, one can see that the dipole matrix element becomes nonzero only if the values z 1 and z 2 are substantially different.

For the linear light polarization Π z, the optical matrix element becomes ψ e, I M e | e ̂ ± · P ̂ | ψ h, II M h = P V N e, M e N h, M h ( I, II ) δ M e, M h ± 1, (6).

In that case, the factor |M22−M11| identically vanishes because each of the two dipole matrix elements becomes equal to 0 (Figure8a).

To be more precise, our construction may cause that matrix elements become zero at the beginning and at the end, so that its equivalent Sturm-Liouville problem with Dirichlet boundary conditions will not satisfy for all anymore, because by (2.3).

With full anisotropic coupling, the stiffness matrix of the element becomes initially asymmetric due to the interior nature of the plane beam.

Another technical issue that might cause numerical instability is the low rank of the matrix A, when a particular element becomes large enough (e.g., for positive eigenvalues).

The quantitative results progressively improve as the element becomes heavier.

By assuming synchronous interference (see Section 3.3), we may analyze the total noise matrix element-wise, which then becomes ( Z total ) k, l = Z k, l + ∑ i = 0 I − 1 b i ( F Ix, i ) k, l ( F Tx ) k, l e j φ i. (17).

As a result, the involved intrasubband exciton dipole matrix element may either simultaneously vanish, or they can become equal in magnitude, when these probability densities are integrated together with ze−zh.

Three special element types, called yarn element, matrix element and mixed element, are derived.

Thus, matrix element aij = Output (AI-Xi xjΔ).