Coulomb Green’s Function for Hydrogenic Exciton
The excited state reduced Coulomb Green’s function in coordinate space is calculated and expressed in closed form. The reduced Green’s function enables a calculation, in the first order of the perturbation theory, of the correction to the bound state wavefunction and, in the second order, correction to the energy. Since the Green’s function is independent of the particular perturbation problem it can be calculated once and for all and then used in computation of various physical effects. Matrix elements for perturbation hamiltonian terms, transforming according to definite angular momentum representations, especially those practically important in cubic semiconductors with degenerate bands are computed analytically and presented in a succinct form.
KeywordsPerturbation Theory Order Correction Coordinate Space Energy Eigenvalue Exciton Energy
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