The duality symmetry of the Hamiltonian and integrals of motion for Reggeon
interactions in multicolour QCD is formulated as an integral equation for
the wavefunction of compound states of n reggeized gluons. In particular th
e odderon problem in QCD is reduced to the solution of the one-dimensional
Schrodinger equation. The odderon Hamiltonian is written in a normal form,
which gives the possibility to express it as a function of its integrals of
motion. (C) 1999 Elsevier Science B.V. All rights reserved.