期刊
FEW-BODY SYSTEMS
卷 58, 期 2, 页码 -出版社
SPRINGER WIEN
DOI: 10.1007/s00601-017-1214-5
关键词
-
资金
- Aarhus University Research Foundation
Energy level splitting from the unitary limit of contact interactions to the near unitary limit for a few identical atoms in an effectively one-dimensional well can be understood as an example of symmetry breaking. At the unitary limit in addition to particle permutation symmetry there is a larger symmetry corresponding to exchanging the N! possible orderings of N particles. In the near unitary limit, this larger symmetry is broken, and different shapes of traps break the symmetry to different degrees. This brief note exploits these symmetries to present a useful, geometric analogy with graph theory and build an algebraic framework for calculating energy splitting in the near unitary limit.
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