Eur. Phys. J. Plus (2012) 127: 153
https://doi.org/10.1140/epjp/i2012-12153-4

Regular Article

Solvability of quantum D₂ model: Projection and SUSY methods

Department of Physics, University of Guilan, 51335-1914, Rasht, Iran

^* e-mail: t-panahi@guilan.ac.ir

Received: 20 August 2012
Revised: 22 October 2012
Accepted: 4 December 2012
Published online: 13 December 2012

Abstract

We consider a 2-body particles quantum system with D₂ algebra interaction and different coupling constants. Then we solve it by projection and supersymmetric methods. This work illustrates a natural way to construct algebraic and supersymmetric generalization of the other solvable Hamiltonians. This is an interesting work both in its own right and for the insights it offers in connection with the exact solvability of these models.