Separation of Wave and Particle Fluctuations to Higher Orders

By extending Einstein's separation of wave and particle parts of the second order thermal fluctuation to encompass ``generalized'' fluctuations in any Bose field, P. E. Gordon proposed alternative definitions for nth order coherence and nth order coherent states. This paper proves the equivalence of Gordon's coherence conditions to those of Glauber. We then examine some of the physical implications of extending duality to higher orders.