10 citations · 18 across the 4 of their papers we have counts for
10 papers
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…
Construction of localized atomic wave packets
S. Sree Ranjani, P. K. Panigrahi, A. K. Kapoor
It is shown that highly localized solitons can be created in lower dimensional Bose-Einstein condensates (BEC), trapped in a regular harmonic trap, by temporally varying the trap f…
Soliton response to transient trap variations
S. Sree Ranjani, Utpal Roy, P. K. Panigrahi +1
The response of bright and dark solitons to rapid variations in an expulsive longitudinal trap is investigated. We concentrate on the effect of transient changes in the trap freque…
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…