Comment on applicability of Hamiltons equations in the quantum soliton problem

Abstract

We have shown by consistent application of the Schrödinger and Heisenberg equations that the differential invariance condition imposed by Brown, Lindenberg, and West [Phys. Rev. A 33, 4104 (1986)] on Hamiltons function, which was obtained by averaging Fröhlichs Hamiltonian over Davydov soliton states, is not a correct one. The conclusion that Davydov made an erroneous application of Hamiltons equations is still valid, based on completely different arguments. © 1988 The American Physical Society.