Finding gaps in a spectrumReport as inadecuate




Finding gaps in a spectrum - Download this document for free, or read online. Document in PDF available to download.

1 LMPT - Laboratoire de Mathématiques et Physique Théorique 2 FRDP - Fédération de recherche Denis Poisson

Abstract : We propose a method for finding gaps in the spectrum of a differential operator. When applied to the one-dimensional Hamiltonian of the quartic oscillator, a simple algebraic algorithm is proposed that, step by step, separates with a remarkable precision all the energies even for a double-well configuration in a tunnelling regime. Our strategy may be refined and generalised to a large class of 1d-problems.

keyword : spectral problem spectral approximation gaps quartic oscillator





Author: Hector Giacomini - Amaury Mouchet -

Source: https://hal.archives-ouvertes.fr/



DOWNLOAD PDF




Related documents