Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of PT symmetry

B BAGCHI; C QUESNE; R ROYCHOUDHURY

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Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of PT symmetry

机译：常规和新扩展电位的等光谱性，二阶超对称性和PT对称性的作用

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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. PT symmetry may facilitate reconciling our approach to the requirement that the rationally extended potentials be singularity free. Some examples are shown.

机译：我们开发了一种系统的方法来构建新颖的完全可解决的理性势能。二阶超对称量子力学要求后者对某些经过充分研究的量子系统是等光谱的。 PT对称性可能有助于调和我们的方法，使其符合合理扩展的电势没有奇点的要求。显示了一些示例。

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来源
《Pramana》 |2009年第2期|337-347|共11页
作者
B BAGCHI; C QUESNE; R ROYCHOUDHURY;
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作者单位

Department of Applied Mathematics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700 009, India;

Physique Nucleaire Theorique et Physique Mathematique, Universite Libre de Bruxelles, Campus de la Plaine CP229, Boulevard du Triomphe, B-1050 Brussels, Belgium;

Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata 700 035, India;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
exact solvability; supersymmetry; PT symmetry; rational potentials;

机译：确切的溶解度;超对称PT对称;理性潜力;
入库时间 2022-08-17 23:37:31

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1. Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of PT mathcal{P}mathcal{T} symmetry [J] . B. Bagchi, C. Quesne, R. Roychoudhury Pramana . 2009,第2期

机译：常规和新扩展电位的等谱性，二阶超对称性和PT mathcal {P} mathcal {T}对称性的作用
2. Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of $mathcal{PT}$ symmetry [J] . B Bagchi1, C Quesne2, R Roychoudhury3 Pramana . 2009,第2期

机译：常规和新扩展电位的等谱性，二阶超对称性和$ mathcal {PT} $对称性的作用
3. Second-order intertwining operator and isospectral partner of complex PT invariant potential [J] . Roy B, Roychoudhury R Modern Physics Letters, A . 2004,第30期

机译：复杂PT不变势的二阶交织算子和等谱伙伴
4. PT symmetry and supersymmetry [C] . M Znojil International Colloquium on Group Theoretical Methods in Physics . 2003

机译：Pt对称和超对称
5. Symmetries in particle physics beyond the Standard Model: Supersymmetry, conformal symmetry and accidental Lorentz symmetry. [D] . Fan, JiJi. 2009

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7. Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of PT symmetry [O] . Bagchi, Bijan B., Quesne, Christiane, Roychoudhury, Rajkumar 2009

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8. Static Potentials from an Extended Gauge Symmetry [R] . Doria, R. M., Dubnickova, A. Z., Helayel Neto, J. A. 1985

机译：扩展量规对称性的静态电位

Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of PT symmetry

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