Supersymmetric quantum mechanics for two-dimensional disk

Pramana

Akira Suzuki1¹  Ranabir Dutt²  Rajat K Bahaduri1¹ 

[1] Department of Physics, Tokyo University of Science, Tokyo 162-8601, Japan$$;Department of Physics, Visva Bharati University, Santiniketan 731 235, India$$

关键词: Supersymmetric quantum mechanics;    SWKB;    disk billiard;    flux lines.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 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.

【 授权许可】

Unknown