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Sciffer et al. (2005) considered a resolved ionosphere and determined the reflection and mode coupling matrix for this system.
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For the symmetric mode, the resulting electron phonon coupling matrix contained only terms that couple the π-orbitals together and terms that couple the σ-orbitals together.
For the asymmetric mode, the resulting electron phonon coupling matrix contained only elements that couple the σ- and the π-subsystems to each other.
Given an estimate of the coupling matrix, the linear superposition of external modes that produces a desired internal target field can be determined.
First, it is important to understand the form of the electron phonon coupling matrix in order to know which orbitals are coupled to which by the relevant vibrational modes.
The phonon modes are excited in a spin-dependent way to generate effective spin-spin interactions which can be described by the Ising spin coupling matrix, (24).
The matrix, defines the anisotropic elastic fluid-solid coupling matrix.
The mutual coupling matrix M may contain 36 distinct parameters.
In this method, inverse mutual coupling matrix was not computed.
Eigenvalues of the coupling matrix can be calculated as (4.3).
(0<Gammainmathbb{R}^{ntimes n}) stands for an inner coupling matrix.
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