2.7k citations · 6.2k across the 194 of their papers we have counts for
8 papers · 1 filter
Linear Superposition in Nonlinear Equations
Avinash Khare, Uday Sukhatme
Even though the KdV and modified KdV equations are nonlinear, we show that suitable linear combinations of known periodic solutions involving Jacobi elliptic functions yield a larg…
Quantum Expression of Classical Chaos
Sudhir R. Jain, Benoit Gremaud, Avinash Khare
Even as we understand for long that the world is quantal and buried in it is classical dynamics which is chaotic, finding eigenfunctions analytically from the the Schroedinger equa…
Classical Limit of Time-Dependent Quantum Field Theory-a Schwinger-Dyson Approach
F. Cooper, A. Khare, H. Rose
We rewrite the Martin-Siggia-Rose (MSR) formalism for the statistical dynamics of classical fields in a covariant second order form appropriate for the statistical dynamics of rela…
Testing Hall-Post Inequalities With Exactly Solvable N-Body Problems
Avinash Khare, Jean-Marc Richard
The Hall--Post inequalities provide lower bounds on -body energies in terms of -body energies with . They are rewritten and generalized to be tested with exactly-solva…
Some Exact Results for Mid-Band and Zero Band-Gap States of Associated Lame Potentials
Avinash Khare, Uday Sukhatme
Applying certain known theorems about one-dimensional periodic potentials, we show that the energy spectrum of the associated Lamé potentials $$a(a+1)m~{\rm sn}^2(x,m)+b(b+1)m~{\rm…
A QES Band-Structure Problem in One Dimension
Avinash Khare
I show that the potential $$V(x,m) = \big [\frac{b^2}{4}-m(1-m)a(a+1) \big ]\frac{\sn^2 (x,m)}{\dn^2 (x,m)} -b(a+{1/2}) \frac{\cn (x,m)}{\dn^2 (x,m)}$$ constitutes a QES band-struc…
Born-Infeld Chern-Simons Theory: Hamiltonian Embedding, Duality and Bosonization
E. Harikumar, Avinash Khare, M. Sivakumar +1
In this paper we study in detail the equivalence of the recently introduced Born-Infeld self dual model to the Abelian Born-Infeld-Chern-Simons model in 2+1 dimensions. We first ap…
Solitons in 2+1 Dimensional Non-Commutative Maxwell Chern-Simons Higgs Theories
Avinash Khare, M. B. Paranjape
We find soliton solutions in the 2+1 dimensional non-commutative Maxwell Chern-Simons Higgs theories. In the limit of the Chern-Simons coefficient going to zero, these solutions go…