City Research Online

Exact energy spectrum for models with equally spaced point potentials

Caudrelier, V. and Crampe, N. (2006). Exact energy spectrum for models with equally spaced point potentials. Nuclear Physics B, 738(3), pp. 351-367. doi: 10.1016/j.nuclphysb.2005.12.014

Abstract

We describe a non-perturbative method for computing the energy band structures of one-dimensional models with general point potentials sitting at equally spaced sites. This is done thanks to a Bethe ansatz approach and the method is applicable even when periodicity is broken, that is when Bloch's theorem is not valid any more. We derive the general equation governing the energy spectrum and illustrate its use in various situations. In particular, we get exact results for boundary effects. We also study non-perturbatively the effects of impurities in such systems. Finally, we discuss the possibility of including interactions between the particles of these systems.

Publication Type: Article
Publisher Keywords: Energy band structures, Impurities, Non-perturbative methods, Bethe ansatz
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/164
[img]
Preview
PDF - Published Version
Available under License Creative Commons: Attribution International Public License 4.0.

Download (217kB) | Preview

Export

Downloads

Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login