Using the group theoretic method of spectrum generating algebras a class of differential equations is obtained whose eigenvalues are calculated without explicitly solving the equations. Solutions can be easily obtained by group theoretic methods for a certain type of potentials.
Noether Symmetries, Dynamical Constants of Motion, and Spectrum Generating Algebras
Reduction of over-determined systems of differential equations
Lie systems and integrability conditions of differential equations and some of its applications
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