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Level rearrangement in exotic atoms and quantum dots
Monique Combescure, Avinash Khare, Ashok Raina +2
A presentation and a generalisation are given of the phenomenon of level rearrangement, which occurs when an attractive long-range potential is supplemented by a short-range attrac…
Exact Moving and Stationary Solutions of a Generalized Discrete Nonlinear Schrodinger Equation
Avinash Khare, Sergey V. Dmitriev, Avadh Saxena
We obtain exact moving and stationary, spatially periodic and localized solutions of a generalized discrete nonlinear Schrödinger equation. More specifically, we find two different…
Domain Wall and Periodic Solutions of Coupled Asymmetric Double Well Models
Avinash Khare, Avadh Saxena
Coupled asymmetric double well () one-dimensional potentials arise in the context of first order phase transitions both in condensed matter physics and field theory…
Domain Wall and Periodic Solutions of a Coupled phi6 Model
Avinash Khare, Avadh Saxena
Coupled triple well (phi6) one-dimensional potentials occur in both condensed matter physics and field theory. Here we provide a set of exact periodic solutions in terms of ellipti…
Some General Results for Multi-dimensional Compactonsin Generalized N-dimensional KdV Equations
Fred Cooper, Avinash Khare, Avadh Saxena
We derive a general theorem relating the energy and momentum with the velocity of any solitary wave solution of the generalized KdV equation in -dimensions that follows from an…
Domain Wall and Periodic Solutions of Coupled phi4 Models in an External Field
Avinash Khare, Avadh Saxena
Coupled double well (phi4) one-dimensional potentials abound in both condensed matter physics and field theory. Here we provide an exhaustive set of exact periodic solutions of a c…
Discrete Nonlinear Schrodinger Equations with arbitrarily high order nonlinearities
Avinash Khare, Kim Ø. Rasmussen, Mario Salerno +2
A class of discrete nonlinear Schrodinger equations with arbitrarily high order nonlinearities is introduced. These equations are derived from the same Hamiltonian using different…
Complex Periodic Potentials with a Finite Number of Band Gaps
Avinash Khare, Uday Sukhatme
We obtain several new results for the complex generalized associated Lame potential V(x)= a(a+1)m sn^2(y,m)+ b(b+1)m sn^2(y+K(m),m) + f(f+1)m sn^2(y+K(m)+iK'(m),m)+ g(g+1)m sn^2(y+…