89 citations · 922 across the 49 of their papers we have counts for
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Exact results on the dynamics of multi-component Bose-Einstein condensate
Pijush K. Ghosh
We study the time-evolution of the two dimensional multi-component Bose-Einstein condensate in an external harmonic trap with arbitrary time-dependent frequency. We show analytical…
Explosion-implosion duality in the Bose-Einstein condensation
Pijush K. Ghosh
We show an explosion-implosion duality in the one and two dimensional Bose-Einstein condensation with or without a particular time-dependent harmonic trap. The result is independen…
Conformal symmetry and the nonlinear Schrodinger equation
Pijush K. Ghosh
We show that the width of the wave-packet of a class of generalized nonlinear Schrodinger equations (NLSE) trapped in an arbitrary time-dependent harmonic well in any dimensions is…
Novel classical ground state of a many body system in arbitrary dimensions
G. Date, Pijush K. Ghosh, M. V. N. Murthy
The classical ground state of a D- dimensional many body system with two and three body interactions is studied as a function of the strength of the three body interaction. We prov…
Supersymmetry, Shape Invariance and Solvability of and Calogero-Sutherland Model
Pijush K. Ghosh, Avinash Khare, M. Sivakumar
Using the ideas of supersymmetry and shape invariance we re-derive the spectrum of the and Calogero-Sutherland model. We briefly discuss as to how to obtain the co…
Novel Correlations in Arbitrary Dimensions
Pijush K. Ghosh
We present a new three dimensional many-body Hamiltonian with three-body and five-body interactions. We obtain the exact ground state as well as some excited states of this Hamilto…