The effective-mass Schrodinger equation for an electron and a hole, confined to the surface of a sphere and interacting via the Coulomb potential, is studied. The exact energies and wavefunctions of the optically allowed exciton states are presented. Wavefunctions are expanded as series of polynomials which satisfy an equation of the same order but with a smaller number of singularities.
Viri, D., DEL SOLE, R. (1996). Exact solution of the Schrodinger equation for Wannier excitons on a microsphere. SOLID STATE COMMUNICATIONS, 97(11), 985-989.
Exact solution of the Schrodinger equation for Wannier excitons on a microsphere
DEL SOLE, RODOLFO
1996-01-01
Abstract
The effective-mass Schrodinger equation for an electron and a hole, confined to the surface of a sphere and interacting via the Coulomb potential, is studied. The exact energies and wavefunctions of the optically allowed exciton states are presented. Wavefunctions are expanded as series of polynomials which satisfy an equation of the same order but with a smaller number of singularities.File in questo prodotto:
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