Connection between Calogero-Marchioro-Wolfes type few-body models and free oscillators

We establish the exact correspondence of the Calogero-Marchioro-Wolfes model and several of its generalizations with free oscillators. This connection yields the eigenstates and leads to a proof of the quantum integrability. The usefulness of our method for finding new solvable models is then demonstrated by an example.Comment: 10 pages, REVTeX, Minor correction

Degeneracy Structure of the Calogero-Sutherland Model: an Algebraic Approach

The degeneracy structure of the eigenspace of the N-particle Calogero-Sutherland model is studied from an algebraic point of view. Suitable operators satisfying SU(2) algebras and acting on the degenerate eigenspace are explicitly constructed for the two particle case and then appropriately generalized to the N-particle model. The raising and lowering operators of these algebras connect the states, in a subset of the degenerate eigenspace, with each other.Comment: 11 pages, REVTe

A DISCRIMINANT ANALYSES OF SPECIFIC FITNESS TESTING PROFILES OF CRICKET PLAYERS

The main purpose of the study was to compare the four different group cricket player’s skill wise, for the purpose total 38 players were recruited and further they were divided in four different groups as per their skills. It was predicted that all four groups will be different in their motor fitness profiles, for the purpose discriminant analyses was carried out and probability level was set for 0.05 levels. The results indicated that all four groups were different to each other in their motor fitness variables, but Vertical jump was the only variable which contributed significantly highest degree in separating the groups to each other. It was concluded that one can identify the cricket player’s skill wise on their motor fitness level and efficiency. Further, it was recommended to make specific motor fitness test compulsion in talent identification and in specific training programme of cricket player’s skill wise. Article visualizations

Super-Calogero-Moser-Sutherland systems and free super-oscillators : a mapping

We show that the supersymmetric rational Calogero-Moser-Sutherland (CMS) model of A_{N+1}-type is equivalent to a set of free super-oscillators, through a similarity transformation. We prescribe methods to construct the complete eigen-spectrum and the associated eigen-functions, both in supersymmetry preserving as well as supersymmetry breaking phases, from the free super-oscillator basis. Further we show that a wide class of super-Hamiltonians realizing dynamical OSp(2|2) supersymmetry, which also includes all types of rational super-CMS as a small subset, are equivalent to free super-oscillators. We study BC_{N+1}-type super-CMS model in some detail to understand the subtleties involved in this method.Comment: 27 pages, RevTeX, No figures; Minor clarifications added, version to appear in Nuclear Physics