A family of states of this system can be created by acting on the ground state with displacement and squeeze operators. A class of materials are treated as non-interacting collections of these systems in one model that recovers the Dulong-Petit law. (10[1]-5[2])The eigenstates (10[1])of this system can be solved (-5[1])using Hermite polynomials but (10[1])are more commonly derived using Dirac's ladder operators. States for this quantum system whose position and momentum expectation values evolve like the classical version of this system are coherent states. The Einstein model treats solids as ensembles of these systems. In n dimensions, the zero point energy for this system is ■END■