Novel correlations in two dimensions: Two-body problem
凝聚态物理
2009-10-28 v1 高能物理 - 理论
摘要
We discuss a many-body Hamiltonian with two- and three-body interactions in two dimensions introduced recently by Murthy, Bhaduri and Sen. Apart from an analysis of some exact solutions in the many-body system, we analyze in detail the two-body problem which is completely solvable. We show that the solution of the two-body problem reduces to solving a known differential equation due to Heun. We show that the two-body spectrum becomes remarkably simple for large interaction strength and the level structure resembles that of the Landau Levels. We also clarify the "ultraviolet" regularization which is needed to define an inverse-square potential properly and discuss its implications for our model.
引用
@article{arxiv.cond-mat/9609012,
title = {Novel correlations in two dimensions: Two-body problem},
author = {R. K. Bhaduri and Avinash Khare and J. Law and M. V. N. Murthy and Diptiman Sen},
journal= {arXiv preprint arXiv:cond-mat/9609012},
year = {2009}
}
备注
36 pages in revtex and 2 postcript figures