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Self-Duality of a Topologically Massive Born-Infeld Theory
Prasanta K. Tripathy, Avinash Khare
We consider self-duality in a 2+1 dimensional gauge theory containing both the Born-Infeld and the Chern-Simons terms. We introduce a Born-Infeld inspired generalization of the Pro…
A Study of Quantum Many-Body Systems With Nearest And Next-to-Nearest Neighbour Long-Range Interactions
Meripeni Ezung, N. Gurappa, Avinash Khare +1
The scattering and bound states of the many-body systems, related to the short-range Dyson model, are studied. First, we show that the scattering states can be realized as coherent…
A PT-Invariant Potential With Complex QES Eigenvalues
Avinash Khare, Bhabani Prasad Mandal
We show that the quasi-exactly solvable eigenvalues of the Schrödinger equation for the PT-invariant potential are complex conjugate pairs in case the p…
A class of N-body problems with nearest- and next-to-nearest neighbour interactions
Guy Auberson, Sudhir R. Jain, Avinash Khare
We obtain the exact ground state and a part of the excitation spectrum in one dimension on a line and the exact ground state on a circle in a case where N particles are interacting…
PT invariant Non-Hermitian Potentials with Real QES Eigenvalues
Avinash Khare, Bhabani Prasad Mandal
We show that at least the quasi-exactly solvable eigenvalues of the Schrödinger equation with the potential as well as the periodic potential $V(x) = (ζ…