BOSONIZATION IN HILBERT SPACE

Alexei M. Tsvelik

R. Shankar

Avinash Dhar

C. Quesne, N. Vansteenkiste

Order-p parasupersymmetric and orthosupersymmetric quantum mechanics are shown to be fully reducible when they are realized in terms of the generators of a generalized deformed oscillator algebra and a ℤp+1-grading structure is imposed on the Fock space. The irreducible components provide p + 1 sets of bosonized operators corresponding to both unbroken and broken cases. Such a bosonization is minimal.

A. A. Osipov

Dmitri V. Khveshchenko

We elaborate on an algebraic method of a momentum space bosonization of exactly solvable one-dimensional models in the framework of the Calogero-Sutherland model. The approach provides an exact representation of the local field operator of the Calogero-Sutherland model in terms of quasiparticle eigenstate’s creation-annihilation operators and furnishes a simple method to compute exact correlation functions.