Analytical solution to position dependent mass Schrodinger equation

被引：31

作者：

Jha, Pankaj K. ^{[1
,2
]}

Eleuch, Hichem ^{[3
]}

Rostovtsev, Yuri V. ^{[4
]}

机构：

[1] Texas A&M Univ, Inst Quantum Sci & Engn, College Stn, TX 77843 USA

[2] Texas A&M Univ, Dept Phys & Astron, College Stn, TX 77843 USA

[3] King Saud Univ, Dept Phys & Astron, Coll Sci, Riyadh 11451, Saudi Arabia

[4] Univ N Texas, Dept Phys, Denton, TX 76203 USA

来源：

JOURNAL OF MODERN OPTICS | 2011年 / 58卷 / 08期

关键词：

position dependent mass; Riccati equation; scattering; two-level system; rotating wave approximation;

D O I：

10.1080/09500340.2011.562617

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Using a recently developed technique to solve the Schrodinger equation for constant mass, we have studied the regime in which the mass varies with position, i.e. the position-dependent mass Schrodinger equation (PDMSE). We obtained an analytical solution for the PDMSE and applied our approach to study a position dependent mass m(x) particle scattered by a potential V(x). We have also studied the structural analogy between the PDMSE and the two-level atomic system interacting with a classical field.

引用

页码：652 / 656

页数：5

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