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Off-diagonal long-range order in one-dimensional many-body problem
G. Auberson, S. R. Jain, A. Khare
We prove that there is off-diagonal long-range order in the symmetrised version of the one-dimensional many-body problem presented by Jain and Khare (Phys. Lett. A262 (1999)35). Th…
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…
The November Revolution: Twenty-Five Years Later
Avinash Khare
Exactly twenty five years ago the world of high energy physics was set on fire by the discovery of a new particle with an unusually narrow width at 3095 MeV, known popularly as the…
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…
New Solvable and Quasi Exactly Solvable Periodic Potentials
Avinash Khare, Uday Sukhatme
Using the formalism of supersymmetric quantum mechanics, we obtain a large number of new analytically solvable one-dimensional periodic potentials and study their properties. More…
Classical and quantum mechanics of a particle on a rotating loop
Sayan Kar, Avinash Khare
The toy model of a particle on a vertical rotating circle in the presence of uniform gravitational/ magnetic fields is explored in detail. After an analysis of the classical mechan…