A GENERALIZED DIRAC-KRONIG-PENNEY MODEL WITH NONLOCAL SEPARABLE POTENTIALS

被引：6

作者：

DOMINGUEZADAME, F

GONZALEZ, MA

机构：

[1] Departamento de Física de Materiales, Facultad de Ciencias Físicas, Universidad Complutense

来源：

PHYSICA B | 1992年 / 176卷 / 03期

关键词：

D O I：

10.1016/0921-4526(92)90003-B

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

The dispersion relation for relativistic electrons in one-dimensional polyatomic crystals is derived by means of the transfer matrix technique. The interaction of the electron with the lattice is taken to be an array of nonlocal separable potentials arranged periodically. This model leads to exact results even for arbitrary finite-ranged potentials. The delta-function limit is also obtained and the results are compared to results previously found on local delta-function potentials.

引用

收藏

页码：180 / 188

页数：9

相关论文

共 22 条

[1] NONLOCAL SEPARABLE POTENTIAL IN THE ONE-DIMENSIONAL DIRAC-EQUATION [J].

CALKIN, MG ;

KIANG, D ;

NOGAMI, Y .

PHYSICAL REVIEW C, 1988, 38 (02) :1076-1077

[2] PROPER TREATMENT OF THE DELTA-FUNCTION POTENTIAL IN THE ONE-DIMENSIONAL DIRAC-EQUATION [J].

CALKIN, MG ;

KIANG, D ;

NOGAMI, Y .

AMERICAN JOURNAL OF PHYSICS, 1987, 55 (08) :737-739

[3] A GENERALIZED DIRAC-KRONIG-PENNEY MODEL [J].

DOMINGUEZADAME, F .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1989, 1 (01) :109-112

[4] RELATIVISTIC EFFECTS IN KRONIG-PENNEY MODELS ON QUASI-PERIODIC LATTICES [J].

DOMINGUEZADAME, F ;

SANCHEZ, A .

PHYSICS LETTERS A, 1991, 159 (03) :153-157

[5] BOUND-STATES AND CONFINING PROPERTIES OF RELATIVISTIC POINT INTERACTION POTENTIALS [J].

DOMINGUEZADAME, F ;

MACIA, E .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (10) :L419-L423

[6] EXACT-SOLUTIONS OF THE DIRAC-EQUATION WITH SURFACE DELTA INTERACTIONS [J].

DOMINGUEZADAME, F .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (11) :1993-1999

[7] GENERALIZATION OF THE KRONIG-PENNEY MODEL [J].

ELDIB, AM ;

HASSAN, HF ;

MOHAMED, MA .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1987, 20 (20) :3011-3019

[8]

ERDOS P, 1977, HELV PHYS ACTA, V50, P513

[9] RESISTANCE OF ONE-DIMENSIONAL CHAINS IN KRONIG-PENNY-LIKE MODELS [J].

GASPARIAN, VM ;

ALTSHULER, BL ;

ARONOV, AG ;

KASAMANIAN, ZA .

PHYSICS LETTERS A, 1988, 132 (04) :201-205

[10] CLASS OF INTERFACE STATE MODELS .1. [J].

GLASSER, ML .

SURFACE SCIENCE, 1977, 64 (01) :141-156