Sentence examples for matrix elements for from inspiring English sources

with matrix elements for each q.

The other matrix elements for the high-order operators k ^ ± 2 are evaluated numerically using Eqs.

Sample calculations of Coulombic matrix elements for the H2 molecule with Cartesian Gaussian basis set are reported.

The matrix elements for solving the energy latent root of the impurity states can be found from Eqs. 1 and 5.

In Table1, the calculated intraband matrix elements for several configurations of the dimensions of the structure, applied electric field, and hydrostatic pressure are reported.

The fast linear decoding algorithm [2] can be used, where we can omit the superscript of matrix elements for simplicity, as following.

where the matrix element for interband transitions (n ≠ m) is obtained from a k · p-type approximation [8]: (26) (27).

with E being the emitted photon energy and being the optical matrix element for the conduction-valence band transition.

It is also possible that because of the absence of the axial symmetry in reality, the square of the matrix element for this transition will be significantly higher.

Here, E LO is the LO phonon energy and V q) is the matrix element for the interaction between the exciton and the phonon, with wave vector q.

However, according to our calculations within the axial model, the square of the electrodipole matrix element for this transition is by 4 orders of magnitude less than that for transition 0 → 1 (line α).