The time-independent Schrödinger equation H ψ ψ = E ψ ψ , is solved by explicit construction of ψ ψ . Since ψ ψ is symmetric it is completely determined by its values in the simplex R , defined by the condition that 0 ≤ ≤ x 1 ≤ ≤ x 2 ≤ ≤ … … , ≤ ≤ x N ≤ ≤ L .