Hyperspherical Treatment of Strongly-Interacting Few-Fermion Systems in One Dimension

A. G. Volosniev; D. V. Fedorov; A. S. Jensen; Nikolaj Thomas Zinner

doi:10.1140/epjst/e2015-02390-2

Hyperspherical Treatment of Strongly-Interacting Few-Fermion Systems in One Dimension

A. G. Volosniev, D. V. Fedorov, A. S. Jensen, Nikolaj Thomas Zinner

Department of Physics and Astronomy

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

6 Citations (Scopus)

Abstract

We examine a one-dimensional two-component fermionic system in a trap, assuming that all particles have the same mass and interact through a strong repulsive zero-range force. First we show how a simple system of three strongly interacting particles in a harmonic trap can be treated using the hyperspherical formalism. Next we discuss the behavior of the energy for the N-body system.

Original language	English
Journal	European Physical Journal. Special Topics
Volume	224
Issue	3
Pages (from-to)	585-590
Number of pages	6
ISSN	1951-6355
DOIs	https://doi.org/10.1140/epjst/e2015-02390-2
Publication status	Published - 9 Apr 2015

Access to Document

10.1140/epjst/e2015-02390-2

http://link.springer.com/article/10.1140/epjst/e2015-02390-2

OpenUrl availability

Full text

Cite this

@article{0191da25c98648a1a98362af52103bf2,

title = "Hyperspherical Treatment of Strongly-Interacting Few-Fermion Systems in One Dimension",

abstract = "We examine a one-dimensional two-component fermionic system in a trap, assuming that all particles have the same mass and interact through a strong repulsive zero-range force. First we show how a simple system of three strongly interacting particles in a harmonic trap can be treated using the hyperspherical formalism. Next we discuss the behavior of the energy for the N-body system.",

keywords = "cond-mat.quant-gas, quant-ph",

author = "Volosniev, {A. G.} and Fedorov, {D. V.} and Jensen, {A. S.} and Zinner, {Nikolaj Thomas}",

year = "2015",

month = apr,

day = "9",

doi = "10.1140/epjst/e2015-02390-2",

language = "English",

volume = "224",

pages = "585--590",

journal = "European Physical Journal. Special Topics",

issn = "1951-6355",

publisher = "Springer",

number = "3",

}

Hyperspherical Treatment of Strongly-Interacting Few-Fermion Systems in One Dimension. / Volosniev, A. G.; Fedorov, D. V.; Jensen, A. S. et al.
In: European Physical Journal. Special Topics, Vol. 224, No. 3, 09.04.2015, p. 585-590.

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

TY - JOUR

T1 - Hyperspherical Treatment of Strongly-Interacting Few-Fermion Systems in One Dimension

AU - Volosniev, A. G.

AU - Fedorov, D. V.

AU - Jensen, A. S.

AU - Zinner, Nikolaj Thomas

PY - 2015/4/9

Y1 - 2015/4/9

N2 - We examine a one-dimensional two-component fermionic system in a trap, assuming that all particles have the same mass and interact through a strong repulsive zero-range force. First we show how a simple system of three strongly interacting particles in a harmonic trap can be treated using the hyperspherical formalism. Next we discuss the behavior of the energy for the N-body system.

AB - We examine a one-dimensional two-component fermionic system in a trap, assuming that all particles have the same mass and interact through a strong repulsive zero-range force. First we show how a simple system of three strongly interacting particles in a harmonic trap can be treated using the hyperspherical formalism. Next we discuss the behavior of the energy for the N-body system.

KW - cond-mat.quant-gas

KW - quant-ph

U2 - 10.1140/epjst/e2015-02390-2

DO - 10.1140/epjst/e2015-02390-2

M3 - Journal article

SN - 1951-6355

VL - 224

SP - 585

EP - 590

JO - European Physical Journal. Special Topics

JF - European Physical Journal. Special Topics

IS - 3

ER -