Nonlinear Schrodinger equations with multiple-well potential

Details Nonlinear Schrodinger equations with multiple-well potential Nonlinear Schrodinger equations with multiple-well potential

2011-07-29

arxiv.org/abs/1107.5905v1

Physics

Quantum Physics

Keywords: Nonlinear dynamics, Bifurcation, Semiclassical limit, Bose-Einstein condensates in lattices

Scientific paper

We consider the stationary solutions for a class of Schrodinger equations with a N-well potential and a nonlinear perturbation. By means of semiclassical techniques we prove that the dominant term of the ground state solutions is described by a N-dimensional Hamiltonian system, where the coupling term among the coordinates is a tridiagonal Toeplitz matrix. In particular we consider the case of N=4 wells, where we show the occurrence of spontaneous symmetry-breaking bifurcation effect. In particular, in the limit of large focusing nonlinearity we prove that the ground state stationary solutions consist of N wavefunctions localized on a single well.

Affiliated with

Also associated with

No associations

Rating

Nonlinear Schrodinger equations with multiple-well potential does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonlinear Schrodinger equations with multiple-well potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear Schrodinger equations with multiple-well potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-318550