Mapping of two-dimensional Schrodinger equation under the point transformation

被引：0

作者：

Ioffe, M. V. ^{[1
]}

Nishnianidze, D. N. ^{[2
]}

Vereshagin, V. V. ^{[1
]}

机构：

[1] St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia

[2] Akaki Tsereteli State Univ, Kutaisi 4600, Georgia

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2017年 / 58卷 / 07期

关键词：

POSITION-DEPENDENT MASS; SHAPE INVARIANT POTENTIALS; GENERATION; ELECTRONS; SPACES;

D O I：

10.1063/1.4995382

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For the two-dimensional Schrodinger equation, the general form of the point transformations such that the result can be interpreted as a Schrodinger equation with effective (i.e., position dependent) mass is studied. A wide class of such models with different forms of mass function is obtained in this way. Starting from the solvable two-dimensional model, the variety of solvable partner models with effective mass can be built. Several illustrating examples not amenable to conventional separation of variables are given. Published by AIP Publishing.

引用

页数：11

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