Group theoretic approach to rationally extended shape invariant potentials

Rajesh Kumar Yadav; Nisha Kumari; Avinash Khare; Bhabani Prasad Mandal

doi:10.1016/j.aop.2015.04.002

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arXiv · 1502.07455

Group theoretic approach to rationally extended shape invariant potentials

Rajesh Kumar Yadav·Nisha Kumari·Avinash Khare·Bhabani Prasad Mandal

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Abstract

The exact bound state spectrum of rationally extended shape invariant real as well as $PT$ symmetric complex potentials are obtained by using potential group approach. The generators of the potential groups are modified by introducing a new operator $U (x, J_3 \pm 1/2 )$ to express the Hamiltonian corresponding to these extended potentials in terms of Casimir operators. Connection between the potential algebra and the shape invariance is elucidated.

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Rajesh Kumar Yadav, Nisha Kumari, Avinash Khare, Bhabani Prasad Mandal. 2015-02-26. Group theoretic approach to rationally extended shape invariant potentials. https://doi.org/10.1016/j.aop.2015.04.002

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