28 citations · 119 across the 8 of their papers we have counts for
10 papers
Solutions of (1+1)-dimensional Dirac equation associated with exceptional orthogonal polynomials and the parametric symmetry
Suman Banerjee, Rajesh Kumar Yadav, Avinash Khare +2
We consider -dimensional Dirac equation with rationally extended scalar potentials corresponding to the radial oscillator, the trigonometric Scarf and the hyperbolic Poschl-Te…
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…
Rationally extended many-body truncated Calogero-Sutherland model
Rajesh Kumar Yadav, Avinash Khare, Nisha Kumari +1
We construct a rational extension of the truncated Calogero-Sutherland model by Pittman et al. The exact solution of this rationally extended model is obtained analytically and it…
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 short note on "Group theoretic approach to rationally extended shape invariant potentials" [Annals of Physics 359, 46 (2015)]
Arturo Ramos, Bijan Bagchi, Avinash Khare +3
It is proved the equivalence of the compatibility condition of [A. Ramos, J. Phys. A 44 (2011) 342001, Phys. Lett. A 376 (2012) 3499] with a condition found in [Yadav et al., Ann.…
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…