Finding gaps in a spectrum
Quantum Physics
2007-09-13 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0706.3800,
title = {Finding gaps in a spectrum},
author = {Hector Giacomini and Amaury Mouchet},
journal= {arXiv preprint arXiv:0706.3800},
year = {2007}
}