23 citations · 104 across the 22 of their papers we have counts for
24 papers
Isospectral potentials with Dirac delta interaction: Constrained Spectra
Kumar Abhinav, Biswanath Rath, Prasanta K. Panigrahi
We study quantum potentials containing Dirac delta function (DDF) within its supersymmetric (isospectral) construction via a discontinuous superpotential, instead of being simply a…
On Quasi-integrable Deformation Scheme of The KdV System
Kumar Abhinav, Partha Guha
We put forward a general approach to quasi-deform the KdV equation by deforming the corresponding Hamiltonian. Following the standard Abelianization process based on the inherent $…
Non-holonomic and Quasi-integrable deformations of the AB Equations
Kumar Abhinav, Indranil Mukherjee, Partha Guha
For the first time, both non-holonomic and quasi-integrable deformations are obtained for the AB system of coupled equations. The AB system models geophysical and atmospheric fluid…
Space Curves from Nonlinear Schrödinger Solutions: A Direct Approach
Kumar Abhinav, Partha Guha
The connection between vortex filament evolution in the local induction approximation and non-linear Schrödinger (NLS) equation by Hasimoto [H. Hasimoto, J. Fluid Mechanics 51, (19…
Study of quasi-integrable and non-holonomic deformation of equations in the NLS and DNLS hierarchy
Kumar Abhinav, Partha Guha, Indranil Mukherjee
The hierarchy of equations belonging to two different but related integrable systems, the Nonlinear Schrödinger and its derivative variant, DNLS are subjected to two distinct defor…
Image Segmentation of Multi-Shaped Overlapping Objects
Kumar Abhinav, Jaideep Singh Chauhan, Debasis Sarkar
In this work, we propose a new segmentation algorithm for images containing convex objects present in multiple shapes with a high degree of overlap. The proposed algorithm is carri…
Chern-Simons Gauge Invariance and Boundary Conformal Fields
Kumar Abhinav, Samir K. Paul
The topological non-Abelian Chern-Simons theory with a boundary is shown to require a scalar field companion in order to preserve overall gauge-invariance both in the 3 dimensional…
Inhomogeneous Heisenberg Spin Chain and Quantum Vortex Filament as Non-Holonomically Deformed NLS Systems
Kumar Abhinav, Partha Guha
Through the Hasimoto map, various dynamical systems can be mapped to different integrodifferential generalizations of Nonlinear Schrodinger (NLS) family of equations some of which…
Bäcklund Transformation and Quasi-Integrable Deformation of Mixed Fermi-Pasta-Ulam and Frenkel-Kontorova Models
Kumar Abhinav, A Ghose Choudhury, Partha Guha
In this paper we study a non-linear partial differential equation (PDE), proposed by N. Kudryashov [arXiv:1611.06813v1[nlin.SI]], using continuum limit approximation of mixed Fermi…
Efimov-like Resonances in Planar QED
K. Abhinav, P. K. Panigrahi
It is shown that planar topological effective gauge theory with dynamics, acquires corrections to angular momentum beyond the well-known topological photon spin, the latter arising…
Quasi-Integrability of The KdV System
Kumar Abhinav, Partha Guha
The quasi-integrable KdV equation has been obtained from the corresponding deformation of the Hamiltonian for the usual KdV system. Following suitable gauge-fixing, it has been fou…
Solitons and spin transport in graphene boundary
Kumar Abhinav, Vivek M Vyas, Prasanta K Panigrahi
It is shown that in (2+1)-dimensional condensed matter systems, induced gravitational Chern-Simons (CS) action can play a crucial role for coherent spin transport in a finite geome…
Analysis and comparative study of non-holonomic and quasi-integrable deformations of the Nonlinear Schrödinger Equation
Kumar Abhinav, Partha Guha, Indranil Mukherjee
The non-holonomic deformation of the nonlinear Schrödinger equation, uniquely obtained from both the Lax pair and Kupershmidt's bi-Hamiltonian [Phys. Lett. A 372, 2634 (2008)] appr…
Conservation Law for Massive Scale-Invariant Photons in Weyl-Invariant Gravity
Aradhya Shukla, Kumar Abhinav, Prasanta K. Panigrahi
It is demonstrated that a Stueckelberg-type gauge theory, coupled to the scalar-tensor theory of gravity, is invariant under both gauge and Weyl transformations. Unlike the pure St…
Origin of Lattice Spin in Graphitic Systems
Kumar Abhinav, Prasanta K. Panigrahi
Lattice spin, in planar condensed matter system with emergent Dirac dispersion, is shown to emerge from the inherent SU(2) symmetry, arising through Schwingers angular momentum con…
Quantum and Thermal Fluctuations and Pair-breaking in Planar QED
Kumar Abhinav, Prasanta K. Panigrahi
Planar quantum electrodynamics, in presence of tree-level Chern-Simons term, is shown to support bound state excitations, with a threshold, not present for the pure Chern-Simons th…
Controlled Spin Transport in Planar Systems Through Topological Exciton
Kumar Abhinav, Prasanta K. Panigrahi
It is shown that a charge-neutral spin-1 exciton, realizable only in planar systems like graphene, can effectively be used for controlled spin transport in such media. The excitoni…
A study of PT-symmetric Non-linear Schroedinger Equation
K. Nireekshan Reddy, Subhrajit Modak, Kumar Abhinav +1
Systems governed by the Non-linear Schroedinger Equation (NLSE) with various external PT-symmetric potentials are considered. Exact solutions have been obtained for the same throug…
Conserved Correlation in PT -symmetric Systems: Scattering and Bound States
Kumar Abhinav, Arun Jayannavar, P. K. Panigrahi
For one-dimensional PT -symmetric systems, it is observed that the non-local product obtained from the continuity equation can be interpreted as a conserved corre- lation function.…
Supersymmetry and PT-Symmetric Spectral Bifurcation
Kumar Abhinav, Prasanta K. Panigrahi
Dynamical systems exhibiting both PT and Supersymmetry are analyzed in a general scenario. It is found that, in an appropriate parameter domain, the ground state may or may not res…
Comment on "Comment on 'Supersymmetry, PT-symmetry and spectral bifurcation'"
Kumar Abhinav, Prasanta K. Panigrahi
In "Comment on Supersymmetry, PT-symmetry and spectral bifurcation" \cite{BQ1}, Bagchi and Quesne correctly show the presence of a class of states for the complex Scarf-II potentia…
Supersymmetry, PT-symmetry and Spectral Bifurcation
Kumar Abhinav, Prasanta K. Panigrahi
We demonstrate that large class of PT-symmetric complex potentials, which can have isospectral real partner potentials, possess two different superpotentials. In the parameter doma…
Heisenberg Symmetry and Collective Modes of One Dimensional Unitary Correlated Fermions
Kumar Abhinav, Chandrasekhar Bhamidipati, Vivek M Vyas +1
The correlated fermionic many-particle system, near infinite scattering length, reveals an underlying Heisenberg symmetry in one dimension, as compared to an symmetry in…
Gapped solitons and periodic excitations in strongly coupled BEC
Utpal Roy, B. Shah, Kumar Abhinav +1
It is found that localized solitons in the strongly coupled cigar shaped Bose-Einstein condensate form two distinct classes. The one without a background is an asymptotically vanis…