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.
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页数：11
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