Abstract
The Fermi-Pasta-Ulam (FPU) problem demonstrates how non-linear problems display characteristics of notable interest to physics. In this project, we propose to treat the interface between the Fermi-Pasta-Ulam problem, in its quantum version, and pseudo-Hermitian Hamiltonians.We must begin by treating the PT-symmetric FPU problem, in which the FPU linear chain oscillators themselves and th…