Supersymmetric quantum mechanics for two-dimensional disk

被引：0
|
作者：
Akira Suzuki
Ranabir Dutt
Rajat K. Bhaduri
机构：
[1] Tokyo University of Science,Department of Physics
[2] Visva Bharati University,Department of Physics
[3] McMaster University,Department of Physics and Astronomy
来源：
Pramana | 2005年 / 65卷
关键词：
Supersymmetric quantum mechanics; SWKB, disk billiard; flux lines;
D O I：
暂无
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学科分类号：
摘要：
The infinite square well potential in one dimension has a smooth supersymmetric partner potential which is shape invariant. In this paper, we study the generalization of this to two dimensions by constructing the supersymmetric partner of the disk billiard. We find that the property of shape invariance is lost in this case. Nevertheless, the WKB results are significantly improved when SWKB calculations are performed with the square of the superpotential. We also study the effect of inserting a singular flux line through the center of the disk.
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页码：49 / 59
页数：10
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