Darboux transformations for time-dependent Schrodinger equations with effective mass

被引：29

作者：

Schulze-Halberg, A ^{[1
]}

机构：

[1] ETH Zentrum, Dept Math, Swiss Fed Inst Technol, CH-8092 Zurich, Switzerland

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2006年 / 21卷 / 06期

关键词：

Darboux transformation; time-dependent Schrodinger equation; effective mass; solvable potential;

D O I：

10.1142/S0217751X06025389

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

The formalism of Darboux transformations is established for time-dependent Schrodinger equations with an effective (position-dependent) mass. Explicit formulas axe obtained for the transformed wave function and the difference between the original and the transformed potential. It is shown that for a noneffective mass our Darboux transformation reduces correctly to the well-known Darboux transformation.

引用

页码：1359 / 1377

页数：19

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