Supersymmetric quantum mechanics for two-dimensional disk

被引：1
作者：
Suzuki, A [1 ]
Dutt, R
Bhaduri, RK
机构：
[1] Sci Univ Tokyo, Dept Phys, Tokyo 1628601, Japan
[2] Visva Bharati Univ, Dept Phys, Santini Ketan 731235, W Bengal, India
[3] McMaster Univ, Dept Phys & Astron, Hamilton, ON L9H 6T6, Canada
来源：
PRAMANA-JOURNAL OF PHYSICS | 2005年 / 65卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
supersymmetric quantum mechanics; SWKB; disk billiard; flux lines;
D O I：
10.1007/BF02704375
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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.
引用
收藏
页码：49 / 59
页数：11
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