23 citations · 104 across the 22 of their papers we have counts for
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Isospectral potentials with Dirac delta interaction: Constrained Spectra
Kumar Abhinav, Biswanath Rath, Prasanta K. Panigrahi
We study quantum potentials containing Dirac delta function (DDF) within its supersymmetric (isospectral) construction via a discontinuous superpotential, instead of being simply a…
A study of PT-symmetric Non-linear Schroedinger Equation
K. Nireekshan Reddy, Subhrajit Modak, Kumar Abhinav +1
Systems governed by the Non-linear Schroedinger Equation (NLSE) with various external PT-symmetric potentials are considered. Exact solutions have been obtained for the same throug…
Conserved Correlation in PT -symmetric Systems: Scattering and Bound States
Kumar Abhinav, Arun Jayannavar, P. K. Panigrahi
For one-dimensional PT -symmetric systems, it is observed that the non-local product obtained from the continuity equation can be interpreted as a conserved corre- lation function.…
Supersymmetry and PT-Symmetric Spectral Bifurcation
Kumar Abhinav, Prasanta K. Panigrahi
Dynamical systems exhibiting both PT and Supersymmetry are analyzed in a general scenario. It is found that, in an appropriate parameter domain, the ground state may or may not res…
Comment on "Comment on 'Supersymmetry, PT-symmetry and spectral bifurcation'"
Kumar Abhinav, Prasanta K. Panigrahi
In "Comment on Supersymmetry, PT-symmetry and spectral bifurcation" \cite{BQ1}, Bagchi and Quesne correctly show the presence of a class of states for the complex Scarf-II potentia…
Supersymmetry, PT-symmetry and Spectral Bifurcation
Kumar Abhinav, Prasanta K. Panigrahi
We demonstrate that large class of PT-symmetric complex potentials, which can have isospectral real partner potentials, possess two different superpotentials. In the parameter doma…