A family of many-body models which are exactly solvable analytically

We present a family of many- body models which have an exact analytical solution. Surprisingly, these models include generalizations of such interesting physical systems asBose - Einstein condensates with Josephson- type interactions. The generalization comprises the inclusion of inelastic collisions, which are present in real systems but are not accounted for in the canonical model. The unexpected insight of our paper is that the inclusion of these additional terms can render the system exactly solvable. Our results open up an arena to study many- body system properties analytically, where hitherto numerical studies had to be employed.