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Canonical description of 1D few-body systems with short range interaction | | Quirin Hummel
; Juan Diego Urbina
; Klaus Richter
; | | Date: |
9 Mar 2016 | | Abstract: | We address the fundamental interplay between indistinguishability and
interactions when discreteness effects are neglected in systems with strictly
fixed number of particles. For this end we supplement cluster expansions
(many-body canonical techniques where quantum statistics is treated exactly)
with short-time/large volume dynamical information where interparticle forces
are described non-perturbatively. This approach, specially suitable for the
few-body case where it overcomes the inappropriate use of virial expansions,
can be consistently combined with scaling considerations, minimal ground-state
information and strong coupling expansions in such a way that a single
interaction event provides most of the thermodynamic and spectral properties of
1D systems with short range interactions. Our analytical results, in excellent
agreement with numerical simulations, show a form of universal integrability of
interaction effects for arbitrary confinements. | | Source: | arXiv, 1603.2775 | | Services: | Forum | Review | PDF | Favorites | |
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