Nonlinear normal modes and quanta in the β Fermi-Pasta-Ulam lattice
1 Department of Physics, University of Pune, Pune P411007, India
2 Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai 400085, India
3 Present address: Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai 400085, India
Revised: 3 May 2013
Published online: 11 July 2013
We enumerate simple periodic orbits for the well-known Fermi-Pasta-Ulam (FPU) problem. Using these solutions as simple modes for the problem, we construct quantum solutions of the corresponding problem. These studies present a natural generalization of the concept of phonon in the nonlinear realm.
© EDP Sciences, Springer-Verlag, 2013