Variational approach to $N$-body interactions in finite volume
High Energy Physics - Lattice
2018-11-14 v2 High Energy Physics - Phenomenology
Abstract
We explore variational approach to the finite-volume -body problem. The general formalism for N non-relativistic spinless particles interacting with periodic pair-wise potentials yields N-body secular equations. The solutions depend on the infinite-volume N-body wave functions. Given that the infinite-volume N-body dynamics may be solved by the standard Faddeev approach, the variational N-body formalism can provide a convenient numerical framework for finding discrete energy spectra in periodic lattice structures.
Keywords
Cite
@article{arxiv.1810.01261,
title = {Variational approach to $N$-body interactions in finite volume},
author = {Peng Guo and Michael Döring and Adam P. Szczepaniak},
journal= {arXiv preprint arXiv:1810.01261},
year = {2018}
}
Comments
To be appear at PRD