Proceedings of the Physical Society Section A · 1955 · 1.4K citations · 4 references
Natural SciencesPhysicsCondensed Matter PhysicsCrystal StructureMetallic MaterialsCrystal LatticeElectronic Band StructureElectronic Structure Of SolidsMagnetic Properties Of SolidsMagnetism In SolidsMetalsBand TheoryConductionConduction BandCubic Crystal LatticesSimple Cubic LatticeTight-binding ApproximationTight-binding ModelsTight-binding Theory
The effect of a uniform magnetic field on the conduction band of metal is investigated, using as model the tight-binding approximation for a simple cubic crystal. The normally discrete magnetic levels pertaining to free electrons are shown to be non-uniformly spaced and broadened as a result of the lattice forces.
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A Treatise on the Theory of Bessel Functions.
Matthew Porter, G. N. Watson · American Mathematical Monthly · 1923 · 9.6K citations