Electron in the field of a molecule with an electric dipole moment |
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Authors: | Alhaidari A D Bahlouli H |
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Affiliation: | Shura Council, Riyadh 11212, Saudi Arabia. haidari@mailaps.org |
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Abstract: | In solving the eigenvalue wave equation, we relax the usual diagonal constraint on its matrix representation by allowing it to be tridiagonal. This results in a larger representation space that incorporates an analytic solution for the noncentral electric dipole pole potential cos theta/r2, which was believed not to belong to the class of exactly solvable potentials. Consequently, we obtain closed form solution of the time-independent Schr?dinger equation for an electron in the field of a molecule treated as a point electric dipole. |
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