RT info:eu-repo/semantics/article T1 A relativistic one dimensional band model with position dependent mass A1 Glasser, M. Lawrence K1 Kronig-Penney model K1 Modelo de Kronig-Penney K1 Energy band structure K1 Teoría de bandas AB In this note a one-dimensional band model is proposed based on a periodic Dirac comb having a periodicmass 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 lowestelectron and positron bands for the constant mass case are similar to those for the standard relativisticKronig-Penney model, suggesting that non-locality has little influence. The results for the sinusoidal caseare consistent with the expectation that at low wavenumber an electron “feels” it has an average constantmass, but at high wave number, the particle “sees” the periodic mass variation and the band is distorted. PB Elsevier SN 0375-9601 YR 2020 FD 2020 LK http://uvadoc.uva.es/handle/10324/40866 UL http://uvadoc.uva.es/handle/10324/40866 LA eng NO Physics Letters A, 2020, vol. 384, n. 14. 4 p. NO Producción Científica DS UVaDOC RD 29-dic-2024