44 citations · 182 across the 21 of their papers we have counts for
13 papers · 1 filter
Generalized coherent states of exceptional Scarf-I potential: Their spatio-temporal and statistical properties
T. Shreecharan, S. Sree Ranjani
We construct generalized coherent states for the rationally extended Scarf-I potential. Statistical and geometrical properties of these states are investigated. Special emphasis is…
Construction of 2nd stage shape invariant potentials
S. Sree Ranjani, A. K. Kapoor
We introduce concept of next generation shape invariance and show that the process of shape invariant extension can be continued indefinitely.
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…