Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of $mathcal{PT}$ symmetry

Pramana

B Bagchi1¹  R Roychoudhury3²  C Quesne2³ 

[1] Department of Applied Mathematics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700 009, India$$;Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700 035, India$$;Physique Nucléaire Théorique et Physique Mathématique, Université Libre de Bruxelles, Campus de la Plaine CP229, Boulevard du Triomphe, B-1050 Brussels, Belgium$$

关键词: Exact solvability;    supersymmetry;    $mathcal{PT}$ symmetry;    rational potentials.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We develop a systematic approach to construct novel completely solvable rational potentials. Second-order supersymmetric quantum mechanics dictates the latter to be isospectral to some well-studied quantum systems. $mathcal{PT}$ symmetry may facilitate reconciling our approach to the requirement that the rationally extended potentials be singularity free. Some examples are shown.

【 授权许可】

Unknown