Exact solution for quantum Davey-Stewartson I system

Abstract

The (2+1)-dimensional Davey-Stewartson I system is quantized, and the exact eigenvalues and eigenfunctions of the Hamiltonian are obtained. Thermodynamic quantities are also given. Although it is quantized by using the commutation relations for bosons, the energy spectrum and thus the thermodynamic quantities reveal the characteristics of a system with two species of independent fermions.