Year: 2006
Type: article
Abstract: For mathematical models of quantum waveguides, we show that in some situations two interacting particles can be trapped more easily than a single particle. In particular, we give an example of a waveguide that cannot bind a single particle, but does have a geometrically induced bound state for two bosons that attract each other via a harmonic potential. We also show that Neumann boundary conditions are 'stickier' for two interacting bosons than for a single one.
Author: Helmut Linde
Institution: Pontificia Universidad Católica de Chile
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2019044286