  In this paper, we determine at weak coupling the non-relativistic $n$-body
Schr\"{o}dinger equation that describes the low-lying color singlet bound
states of two dimensional adjoint $QCD$ with heavy quarks. In the case of three
adjoint quarks, we show that the three-body equation reduces equivalently to
the Schr\"{o}dinger equation that describes a point electric dipole in an
electric field in a plane angular sector. We conjecture that the three-body
problem is solvable. The eigenstates are given in terms of the triconfluent
Heun functions. Our conjecture implies that a bound state of three adjoint
quarks is described by a particle confined in a two dimensional Cornell
potential. We expect the $n$-parton problem also to be solvable in a similar
fashion.
