Universal Bound States of Two Particles in Mixed Dimensions or Near a Mirror
Statistical Mechanics
2015-06-04 v2 Quantum Gases
Nuclear Theory
Atomic and Molecular Clusters
Abstract
Some novel TWO-body effects analogous to the well-known THREE-body Efimov effect are predicted. In the systems considered, particle A is constrained on a TRUNCATED or BENT one-dimensional line or two-dimensional plane, or on one side of a flat mirror in three dimensions (3D). The constraining potential is fine-tuned such that particle A's ground state wave function is a constant in the region in which it is constrained. Particle B moves in 3D and interacts with particle A resonantly. An infinite sequence of giant two-body bound states are found in each case.
Keywords
Cite
@article{arxiv.1201.6014,
title = {Universal Bound States of Two Particles in Mixed Dimensions or Near a Mirror},
author = {Shina Tan},
journal= {arXiv preprint arXiv:1201.6014},
year = {2015}
}
Comments
5 pages, 2 figures