Exact solutions of the radial Schrodinger equation for some physical potentials
classification
🪐 quant-ph
keywords
ansatzeigenfunctionequationexactobtainedpotentialsradialschrodinger
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By using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the radial Schrodinger equation for the pseudoharmonic and Kratzer potentials in two dimensions. The energy levels of all the bound states are easily calculated from this eigenfunction ansatz. The normalized wavefunctions are also obtained.
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