Dynamical symmetries of rotationally invariant, three-dimensional, Schrödinger equations

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Abstract
All rotationally invariant, time‐dependent potentials for the time‐dependent, three‐dimensional, Schrödinger equation are classified in terms of their dynamical symmetries. A comparison is made to their classification by kinematical algebras. The degeneracy and dynamical algebras are identified for each potential. The oscillator, constant, and Coulomb potentials are shown to be unique in the sense that their degeneracy algebras are all larger than o(3).

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