ALGEBRAS OF DISCRETE SYMMETRIES AND SUPERSYMMETRIES FOR THE SCHRÖDINGER–PAULI EQUATION

It is shown that the Schrödinger–Pauli (SP) equation is invariant with respect to the algebra gl(4,C) provided that the vector-potential of an external field has definite parities. This invariance algebra is used to reduce the SP equation to uncoupled subsystems and to search for extended and generalized supersymmetries.