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Analytic solution of the dirac equation for the kronig–penney potential
Author(s) -
Glasser M. L.,
Davison S. G.
Publication year - 2009
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560040752
Subject(s) - dirac equation , physics , particle in a one dimensional lattice , scattering , dirac (video compression format) , plane wave , quantum mechanics , electronic band structure , matrix (chemical analysis) , chemistry , diffraction , reciprocal lattice , chromatography , neutrino
Using the scattering‐matrix technique, the Dirac equation is solved for the Kronig–Penney (KP) potential. The electronic energy bands are obtained from the relativistic form of the KP relation. For large energies, in agreement with the relativistic orthogonal and augmented plane wave methods, the band widths decrease with increasing band number, while the band gaps tend to remain constant.