Nonlinear quantum-mechanical system associated with Sine-Gordon equation in (1 + 2) dimensions
Nonlinear quantum-mechanical system associated with Sine-Gordon equation in (1 + 2) dimensions
Despite the fact that it is not integrable, the (1 + 2)-dimensional Sine-Gordon equation has N-soliton solutions, whose velocities are lower than the speed of light (c = 1), for all N ≥ 1. Based on these solutions, a quantum-mechanical system is constructed over a Fock space of particles. The …