Bohr-Sommerfeld Quantization Condition for the Gross-Pitaevskii Equation

V. V. Konotop and P. G. Kevrekidis
Phys. Rev. Lett. 91, 230402 – Published 2 December 2003

Abstract

The discrete spectrum of the nonlinear eigenvalue problem associated to the one-dimensional Gross-Pitaevskii equation with a smooth potential is studied in the quasiclassical limit. We particularly focus on the corrections to the Bohr-Sommerfeld quantization rule for the excited energy levels due to the nonlinearity. Explicit predictions are obtained analytically for these corrections and are supported by numerical computations.

  • Figure
  • Received 6 May 2003

DOI:https://doi.org/10.1103/PhysRevLett.91.230402

©2003 American Physical Society

Authors & Affiliations

V. V. Konotop1 and P. G. Kevrekidis2

  • 1Centro de Física Teórica e Computacional and Departmento de Física, Universidade de Lisboa, Complexo Interdisciplinar, Avenida Professor Gama Pinto 2, Lisbon 1649-003, Portugal
  • 2Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA

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Issue

Vol. 91, Iss. 23 — 5 December 2003

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