28 citations · 119 across the 8 of their papers we have counts for
7 papers · 1 filter
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 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…
A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems
Nisha Kumari, Rajesh Kumar Yadav, Avinash Khare +1
In this work, we start from the well known Calogero-Wolfes type 3-body problems on a line and construct the corresponding exactly solvable rationally extended 3-body potentials. In…
Scattering amplitudes for the rationally extended P T symmetric complex potentials
Nisha Kumari, Rajesh Kumar Yadav, Avinash Khare +2
In this paper, we consider the rational extensions of two different P T symmetric complex potentials namely the asymptotically vanishing Scarf II and asymptotically non-vanishing R…
Parametric symmetries in exactly solvable real and P T symmetric complex potentials
Rajesh Kumar Yadav, Avinash Khare, Bijan Bagchi +2
In this paper, we discuss the parametric symmetries in different exactly solvable systems characterized by real or complex P T symmetric potentials. We focus our at- tention on the…
Group theoretic approach to rationally extended shape invariant potentials
Rajesh Kumar Yadav, Nisha Kumari, Avinash Khare +1
The exact bound state spectrum of rationally extended shape invariant real as well as symmetric complex potentials are obtained by using potential group approach. The generato…
Rationally extended shape invariant potentials in arbitrary D-dimensions associated with exceptional polynomials
Rajesh Kumar Yadav, Nisha Kumari, Avinash Khare +1
Rationally extended shape invariant potentials in arbitrary D-dimensions are obtained by using point canonical transformation (PCT) method. The bound-state solutions of these exact…