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The splitting of the energy levels of crystal electrons in homogeneous magnetic fields of moderate strength is described in terms of the matrix elements of the LCAO method. The matrix elements are regarded as adjustable parameters connected with the energy structure of the crystal electron without magnetic field. The translational symmetry of the crystal in a magnetic field is exactly taken into account, and the matrix elements contain the symmetry of the point group of the material.

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Die Übertragung der LCAO-Interpolationsmethode auf Gitterelektronen im Magnetfeld / The LCAO Interpolation Method Applied to Crystal Electrons in a Magnetic Field