FINITE-DIMENSIONAL HAMILTONIAN APPROACH TO THE QUANTUM-THEORY OF SOLITON PROPAGATION

A quantum mechanical description of optical soliton propagation in non -linear Kerr media is presented, based on a finite-dimensional Hamilto nian approach. The method consists in applying standard first quantiza tion rules to a finite number of pairs of suitably chosen parameters w hich characterize the propagation field and are conjugate Hamiltonian variables. This simple approach allows us to introduce a new definitio n of the quantum soliton state.