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Exact(13)
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.
Thus, to provide a nonzero dipole matrix element for transitions of interest along with the application of the tilted magnetic field, it is necessary to introduce an asymmetric potential along the direction of the structure growth.
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).
Similar(47)
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.
As an example, in panels (a -(c) of Figure 2 we show the matrix elements for the kinetic energy in the system.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com