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A Class of Exactly Solvable Real and Complex Symmetric Reflectionless Potentials
Suman Banerjee, Rajesh Kumar Yadav, Avinash Khare +1
We consider the question of the number of exactly solvable complex but PT-invariant reflectionless potentials with bound states. By carefully considering the rationally e…
Rationally Extended Harmonic Oscillator potential, Isospectral Family and the Uncertainity Relations
Rajesh Kumar, Rajesh Kumar Yadav, Avinash Khare
We consider the rationally extended harmonic oscillator potential which is isospectral to the conventional one and whose solutions are associated with the exceptional, - Hermi…
Supersymmetry and Shape Invariance of exceptional orthogonal polynomials
Satish Yadav, Avinash Khare, Bhabani Prasad Mandal
We discuss the exceptional Laguerre and the exceptional Jacobi orthogonal polynomials in the framework of the supersymmetric quantum mechanics (SUSYQM). We express the differential…
One parameter family of rationally extended isospectral potentials
Rajesh Kumar Yadav, Suman Banerjee, Nisha Kumari +2
We start from a given one dimensional rationally extended potential associated with exceptional orthogonal polynomials and using the idea of supersymmetry in quantum mechanic…
A pedestrian introduction to coherent and squeezed states
Bijan Bagchi, Rupamanjari Ghosh, Avinash Khare
This review is intended for readers who want to have a quick understanding on the theoretical underpinnings of coherent states and squeezed states which are conventionally generate…
A class of exactly solvable rationally extended non-central potentials in Two and Three Dimensions
Nisha Kumari, Rajesh Kumar Yadav, Avinash Khare +1
We start from a seven parameters (six continuous and one discrete) family of non-central exactly solvable potential in three dimensions and construct a wide class of ten parameters…