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VOLUME 39 (1984) | ISSUE 5 | PAGE 234
Supersymmetry in the problem of an electron in a nonuniform magnetic field
The Pauli and Dirac equations for an electron are super-symmetric in an arbitrary two-dimensional magnetic field. The vacuum can be degenerate with respect to an infinite-dimensional representation of a group which is not the symmetry group of the Hamiltonian. Supersymmetry also occurs in a three-dimensional field with a certain parity. The parity plays the role of the fermion charge in this case.