28 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
7 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…
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…