On the number of particles which a curved quantum waveguide can bind
Functional Analysis
2020-01-29 v1
Abstract
We discuss the discrete spectrum of N particles in a curved planar waveguide. If they are neutral fermions, the maximum number of particles which the waveguide can bind is given by a one-particle Birman-Schwinger bound in combination with the Pauli principle. On the other hand, if they are charged, e.g., electrons in a bent quantum wire, the Coulomb repulsion plays a crucial role. We prove a sufficient condition under which the discrete spectrum of such a system is empty.
Cite
@article{arxiv.math/9801021,
title = {On the number of particles which a curved quantum waveguide can bind},
author = {Pavel Exner and Simeon A. Vugalter},
journal= {arXiv preprint arXiv:math/9801021},
year = {2020}
}
Comments
a LateX file, 12 pages