EPJ Web Conf.
Volume 113, 201621st International Conference on Few-Body Problems in Physics
|Number of page(s)||5|
|Section||Atomic and Molecular Few-Body Systems|
|Published online||25 March 2016|
Five is More: Comments on Symmetry, Integrability, and Solvability for a Few Particles in a One-Dimensional Trap
Department of Physics, American University, 4400 Massachusetts Ave. NW, Washington, DC, USA 20016-8058
a e-mail: email@example.com
Published online: 25 March 2016
This contributed conference proceeding reviews some results about a system of a few identical particles with spin trapped in one-dimensional potentials and experiencing two-body interactions. The focus is on how symmetry, integrability, and solvability depend on the trap shape, two-body interaction, the number of particles, and the number of spin components. A series of comments are presented that characterize the minimal symmetries possible for a composite system constructed from interacting single particles, with special focus on the contact interaction. For five and more particles with internal components like spin, a kind of universality called algebraically solvability is lost.
© Owned by the authors, published by EDP Sciences, 2016
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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