Abstract
A general method for constructing first-order symmetry operators for the stationary Schrodinger and Pauli equations is proposed. It is proven that the Lie algebra of these symmetry operators is a one-dimensional extension of some subalgebra of an e(3) algebra. We also assemble a classification of stationary electromagnetic fields for which the Schrodinger (or Pauli) equation admits a Lie algebra of first-order symmetry operators.
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