165 citations · 2k across the 138 of their papers we have counts for
9 papers · 1 filter
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 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.…
Quasi exactly solvable extension of Calogero model associated with exceptional orthogonal polynomials
B. Basu-Mallick, Bhabani Prasad Mandal, Pinaki Roy
By using the technique of supersymmetric quantum mechanics, we study a quasi exactly solvable extension of the N-particle rational Calogero model with harmonic confining interactio…
The Scattering amplitude for Newly found exactly solvable Potential
Rajesh Kumar Yadav, Avinash Khare, Bhabani Prasad Mandal
The scattering amplitude for the recently discovered exactly solvable shape invariant potential, which is isospectral to the generalized Pöschl-Taylor potential, is calculated expl…
Spectral singularity and non-Hermitian PT-symmetric extension of type Calogero model without confining potential
Bhabani Prasad Mandal, Ananya Ghatak
We consider non-Hermitian PT-symmetric deformation of type Calogero model without confining potential to investigate the possible existence of spectral singularity. By co…