44 citations · 247 across the 27 of their papers we have counts for
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Shape Invariant Potentials in Higher Dimensions
R. Sandhya, S. Sree Ranjani, A. K. Kapoor
In this paper we investigate the shape invariance property of a potential in one dimension. We show that a simple ansatz allows us to reconstruct all the known shape invariant pote…
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…
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…