74 citations · 583 across the 49 of their papers we have counts for
12 papers · 1 filter
Classical and Quantum Mechanics of Anyons
G. Date, M. V. N. Murthy, Radhika Vathsan
We review aspects of classical and quantum mechanics of many anyons confined in an oscillator potential. The quantum mechanics of many anyons is complicated due to the occurrence o…
Exclusion statistics: A resolution of the problem of negative weights
M. V. N. Murthy, R. Shankar
We give a formulation of the single particle occupation probabilities for a system of identical particles obeying fractional exclusion statistics of Haldane. We first derive a set…
A two-dimensional interacting system obeying Fractional Exclusion Statistics
M. K. Srivastava, R. K. Bhaduri, J. Law +1
We consider N fermions in a two-dimensional harmonic oscillator potential interacting with a very short-range repulsive pair-wise potential. The ground-state energy of this system…
Novel classical ground state of a many body system in arbitrary dimensions
G. Date, Pijush K. Ghosh, M. V. N. Murthy
The classical ground state of a D- dimensional many body system with two and three body interactions is studied as a function of the strength of the three body interaction. We prov…
Classical Many-particle Clusters in Two Dimensions
G. Date, M. V. N. Murthy, Radhika Vathsan
We report on a study of a classical, finite system of confined particles in two dimensions with a two-body repulsive interaction. We first develop a simple analytical method to obt…
Geometry of N-particle clusters in two-dimensions: Some exact results
G. Date, M. V. N. Murthy
We report on a study of a finite system of classical confined particles in two-dimensions in the presence of a uniform magnetic field and interacting via a two-body repulsive poten…
Novel correlations in two dimensions: Two-body problem
R. K. Bhaduri, Avinash Khare, J. Law +2
We discuss a many-body Hamiltonian with two- and three-body interactions in two dimensions introduced recently by Murthy, Bhaduri and Sen. Apart from an analysis of some exact solu…
A Fermion-like description of condensed Bosons in a trap
R. K. Bhaduri, M. V. N. Murthy
A Bose-Einstein condensate of atoms, trapped in an axially symmetric harmonic potential, is considered. By averaging the spatial density along the symmetry direction over a length…
Novel correlations in two dimensions: Some exact solutions
M. V. N. Murthy, R. K. Bhaduri, Diptiman Sen
We construct a new many-body Hamiltonian with two- and three-body interactions in two space dimensions and obtain its exact many-body ground state for an arbitrary number of partic…
Haldane Exclusion Statistics and the Boltzmann Equation
R. K. Bhaduri, R. S. Bhalerao, M. V. N. Murthy
We generalize the collision term in the one-dimensional Boltzmann-Nordheim transport equation for quasiparticles that obey the Haldane exclusion statistics. For the equilibrium sit…
Asymptotic analysis and spectrum of three anyons
G. Date, M. Krishna, M. V. N. Murthy
The spectrum of anyons confined in harmonic oscillator potential shows both linear and nonlinear dependence on the statistical parameter. While the existence of exact linear soluti…
Classical Dynamics of Anyons and the Quantum Spectrum
G. Date, M. V. N. Murthy
In this paper we show that (a) all the known exact solutions of the problem of N-anyons in oscillator potential precisely arise from the collective degrees of freedom, (b) the syst…