10 citations · 18 across the 4 of their papers we have counts for
7 papers · 1 filter
QHJ, WKB and exact quantisation
S. Sree Ranjani, A. K. Kapoor, P. K. Panigrahi
We present a simple derivation of the WKB quantisation condition using the quantum Hamilton-Jacobi formalism and propose an exact quantisation condition within this formalism for i…
An explicit realization of fractional statistics in one dimension
S. Sree Ranjani, P. K. Panigrahi, A. K. Kapoor +1
An explicit realization of anyons is provided, using the three-body Calogero model. The fact that in the coupling domain, , the angular spectrum can have a band structure…
Designing bound states in a band as a model for a quantum network
S. Sree Ranjani, A. K. Kapoor, P. K. Panigrahi
We provide a model of a one dimensional quantum network, in the framework of a lattice using Von Neumann and Wigner's idea of bound states in a continuum. The localized states acti…
Bound States and Band Structure - a Unified Treatment through the Quantum Hamilton - Jacobi Approach
S. Sree Ranjani, A. K. Kapoor, P. K. Panigrahi
We analyze the Scarf potential, which exhibits both discrete energy bound states and energy bands, through the quantum Hamilton-Jacobi approach. The singularity structure and the b…
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…
Calculation of Band Edge Eigenfunctions and Eigenvalues of Periodic Potentials through the Quantum Hamilton - Jacobi Formalism
S. Sree Ranjani, A. K. Kapoor, P. K. Panigrahi
We obtain the band edge eigenfunctions and the eigenvalues of solvable periodic potentials using the quantum Hamilton - Jacobi formalism. The potentials studied here are the Lam{é}…