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Kink-kink and kink-antikink interactions with long-range tails
Ivan C. Christov, Robert J. Decker, A. Demirkaya +4
In this Letter, we address the {long-range interaction} between kinks and antikinks, as well as kinks and kinks, in field theories for . The kink-antikink interacti…
Family of Potentials with Power-Law Kink Tails
Avinash Khare, Avadh Saxena
We provide examples of a large class of one dimensional higher order field theories with kink solutions which asymptotically have a power-law tail either at one end or at both ends…
Higher-order field theories: , and beyond
Avadh Saxena, Ivan C. Christov, Avinash Khare
The model has been the "workhorse" of the classical Ginzburg--Landau phenomenological theory of phase transitions and, furthermore, the foundation for a large amount of the n…
The Scattering amplitude for Rationally extended shape invariant Eckart potentials
Rajesh Kumar Yadav, Avinash Khare, Bhabani Prasad Mandal
We consider the rationally extended exactly solvable Eckart potentials which exhibit extended shape invariance property. These potentials are isospectral to the conventional Eckart…
Novel symmetries in N = 2 supersymmetric quantum mechanical models
R. P. Malik, Avinash Khare
We demonstrate the existence of a novel set of discrete symmetries in the context of N = 2 supersymmetric (SUSY) quantum mechanical model with a potential function f(x) that is a g…
Suppression of quantum tunneling for all spins for easy-axis systems
Avinash Khare, M. B. Paranjape
The semi-classical limit of quantum spin systems corresponds to a dynamical Lagrangian which contains the usual kinetic energy, the couplings and interactions of the spins and an a…
Supersymmetric Quantum Mechanics on Non-Commutative Plane
E. Harikumar, V. Sunil Kumar, Avinash Khare
We study the Pauli equation on non-commutative plane. It is shown that the Supersymmetry algebra holds to all orders in the non-commutative parameter in case the gyro-magnetic…
Affine Toda-Sutherland Systems
Avinash Khare, I. Loris, R. Sasaki
A cross between two well-known integrable multi-particle dynamics, an affine Toda molecule and a Sutherland system, is introduced for any affine root system. Though it is not compl…
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…
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…
The Contribution of Instanton-Antiinstanton Fluctuations to the Ground State Energy in Supersymmetric Quantum Mechanical Models
Avinash Khare
I show that the method of finding if the ground state energy is nonzero or not by saturating the functional integral directly with instanton-anti-instanton type fluctuations is not…
Fractional Statistics and Chern-Simons Field Theory in 2+1 Dimensions
Avinash Khare
The question of anyons and fractional statistics in field theories in 2+1 dimensions with Chern-Simons (CS) term is discussed in some detail. Arguments are spelled out as to why fr…
A Quantum Many-body Problem in Two Dimensions: Ground State
Avinash Khare, Koushik Ray
We obtain the exact ground state for the Calogero-Sutherland problem in arbitrary dimensions. In the special case of two dimensions, we show that the problem is connected to the ra…
Stationary Solitons of the Fifth Order KdV-type Equations and their Stabilization
B. Dey, Avinash Khare C. Nagaraja Kumar
Exact stationary soliton solutions of the fifth order KdV type equation are obtained for any p () in case , , (where…
A Class of Exact Solutions For N-Anyons in a N-body Potential
Avinash Khare
A class of exact solutions are obtained for the problem of N-anyons interacting via the N-body potential = $-{e^2\over\sqrt{{1\over N}\sum_{i<j…
Exact Solution of a N-body Problem in One Dimension
Avinash Khare
Complete energy spectrum is obtained for the quantum mechanical problem of N one dimensional equal mass particles interacting via potential $$V(x_1,x_2,...,x_N) = g\sum^N_{i < j}{1…
Exact Solutions To The Generalized Lienard Equations
B. Dey, Avinash Khare, C. N. Kumar
Many new solitary wave solutions of the recently studied Lienard equation are obtained by mapping it to the field equation of the field theory. Further, it is shown that the…
Methods for Generating Quasi-Exactly Solvable Potentials
Asim Gangopadhyaya, Avinash Khare, Uday P. Sukhatme
We describe three different methods for generating quasi-exactly solvable potentials, for which a finite number of eigenstates are analytically known. The three methods are respect…
Negaton and Positon Solutions of the KDV Equation
C. Rasinariu, U. Sukhatme, Avinash Khare
We give a systematic classification and a detailed discussion of the structure, motion and scattering of the recently discovered negaton and positon solutions of the Korteweg-de Vr…
Chern-Simons Term and Charged Vortices in Abelian and Nonabelian Gauge Theories
Avinash Khare
In this article we review some of the recent advances regarding the charged vortex solutions in abelian and nonabelian gauge theories with Chern-Simons (CS) term in two space dimen…
Truncated Harmonic Osillator and Parasupersymmetric Quantum Mechanics
B. Bagchi, S. N. Biswas, Avinash Khare +1
We discuss in detail the parasupersymmetric quantum mechanics of arbitrary order where the parasupersymmetry is between the normal bosons and those corresponding to the truncated h…
On the Coleman-Hill Theorem
Avinash Khare, R. MacKenzie, M. B. Paranjape
The Coleman-Hill theorem prohibits the appearance of radiative corrections to the topological mass (more precisely, to the parity-odd part of the vacuum polarization tensor at zero…
Term by Spontaneous Symmetry Breaking in a generalized Abelian Higgs Model
Pijush K. Ghosh, Avinash Khare, Prasanta K. Panigrahi
We show that the topological term in dimensions can be generated via spontaneous symmetry breaking in a generalized Abelian Higgs model. Further, we also show th…