3,608 research outputs found
A note on the Moll-Arias de Reyna integral
ProducciĂłn CientĂficaThe Moll-Arias de Reyna integral is generalized and several values are given.Ministerio de EconomĂa, Industria y Competitividad (project MTM2014-57129-C2-1-P)Junta de Castilla y LeĂłn (project VA057U16
A relativistic one dimensional band model with position dependent mass
ProducciĂłn CientĂficaIn this note a one-dimensional band model is proposed based on a periodic Dirac comb having a periodic
mass distribution m(x). The mass function is represented as a Hermitian, non-local separable operator.
Two specific cases–a constant mass model and a sinusoidal mass model–are examined. The lowest
electron and positron bands for the constant mass case are similar to those for the standard relativistic
Kronig-Penney model, suggesting that non-locality has little influence. The results for the sinusoidal case
are consistent with the expectation that at low wavenumber an electron “feels” it has an average constant
mass, but at high wave number, the particle “sees” the periodic mass variation and the band is distorted.Ministerio de EconomĂa, Industria y Competitividad (project MTM2014-57129-C2-1-P)Junta de Castilla y LeĂłn (project VA057U16
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