It is shown that the unique solution of { partial derivative/partial derivativet Psi (t,x) = -(z(2))(alpha /2) (-Delta)(alpha /2) Psi (t,x) + V(z,x)Psi (t,x), Psi (0,x) = f(x), can be represented as Psi (t,x) = Ef (x + (z)(1/alpha) X-s) exp { integral (t)(0) V(z,x + (z)(1/alpha) X-u) du}, where X = (X-t, t greater than or equal to 0) is a stable process whose generator is (-Delta)(alpha /2) with X-0 = 0. AMS Classification. Primary 60H05, 60H10, Secondary 90A09, 90A12.