302 citations · 3.3k across the 235 of their papers we have counts for
5 papers · 1 filter
Induced magnetic moment in noncommutative Chern-Simons scalar QED
Prasanta K. Panigrahi, T. Shreecharan
We compute the one loop, correction to the vertex in the noncommutative Chern-Simons theory with scalar fields in the fundamental representation. Emphasis is placed on the p…
Information Entropy and Correlation of the Hooke's Atom
Rajneesh Atre, Chandra Shekhar Mohapatra, Prasanta K. Panigrahi
We provide an algebraic procedure to find the eigenstates of two-charged particles in an oscillator potential, known as {\it{Hooke's}} atom. For the planar Hooke's atom, the exact…
On polynomial solutions of Heun equation
N. Gurappa, Prasanta K. Panigrahi
By making use of a recently developed method to solve linear differential equations of arbitrary order, we find a wide class of polynomial solutions to the Heun equation. We constr…
Periodic Quasi - Exactly Solvable Models
S. Sree Ranjani, A. K. Kapoor, P. K. Panigrahi
Various quasi-exact solvability conditions, involving the parameters of the periodic associated Lam{é} potential, are shown to emerge naturally in the quantum Hamilton-Jacobi appro…
Quantum Hamilton-Jacobi analysis of PT symmetric Hamiltonians
S. Sree Ranjani, A. K. Kapoor, Prasanta K. Panigrahi
We apply the quantum Hamilton-Jacobi formalism, naturally defined in the complex domain, to a number of complex Hamiltonians, characterized by discrete parity and time reversal (PT…