Analytic solutions of the 1D finite coupling delta function Bose gas
An intensive study for both the weak coupling and strong coupling limits of the ground state properties of this classic system is presented. Detailed results for specific values of finite $N$ are given and from them results for general $N$ are determined. We focus on the density matrix and concomita...
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| creator | Forrester, P. J Frankel, N. E Makin, M. I |
| description | An intensive study for both the weak coupling and strong coupling limits of
the ground state properties of this classic system is presented. Detailed
results for specific values of finite $N$ are given and from them results for
general $N$ are determined. We focus on the density matrix and concomitantly
its Fourier transform, the occupation numbers, along with the pair correlation
function and concomitantly its Fourier transform, the structure factor. These
are the signature quantities of the Bose gas. One specific result is that for
weak coupling a rational polynomial structure holds despite the transcendental
nature of the Bethe equations. All these new results are predicated on the
Bethe ansatz and are built upon the seminal works of the past. |
| doi_str_mv | 10.48550/arxiv.cond-mat/0607542 |
| format | Article |
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the ground state properties of this classic system is presented. Detailed
results for specific values of finite $N$ are given and from them results for
general $N$ are determined. We focus on the density matrix and concomitantly
its Fourier transform, the occupation numbers, along with the pair correlation
function and concomitantly its Fourier transform, the structure factor. These
are the signature quantities of the Bose gas. One specific result is that for
weak coupling a rational polynomial structure holds despite the transcendental
nature of the Bethe equations. All these new results are predicated on the
Bethe ansatz and are built upon the seminal works of the past.</description><identifier>DOI: 10.48550/arxiv.cond-mat/0607542</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - Mathematical Physics ; Physics - Statistical Mechanics</subject><creationdate>2006-07</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/cond-mat/0607542$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.1103/PhysRevA.74.043614$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.cond-mat/0607542$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Forrester, P. J</creatorcontrib><creatorcontrib>Frankel, N. E</creatorcontrib><creatorcontrib>Makin, M. I</creatorcontrib><title>Analytic solutions of the 1D finite coupling delta function Bose gas</title><description>An intensive study for both the weak coupling and strong coupling limits of
the ground state properties of this classic system is presented. Detailed
results for specific values of finite $N$ are given and from them results for
general $N$ are determined. We focus on the density matrix and concomitantly
its Fourier transform, the occupation numbers, along with the pair correlation
function and concomitantly its Fourier transform, the structure factor. These
are the signature quantities of the Bose gas. One specific result is that for
weak coupling a rational polynomial structure holds despite the transcendental
nature of the Bethe equations. All these new results are predicated on the
Bethe ansatz and are built upon the seminal works of the past.</description><subject>Mathematics - Mathematical Physics</subject><subject>Physics - Mathematical Physics</subject><subject>Physics - Statistical Mechanics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqNzTEOgjAUgOEuDkY9g29xBIqCuqpoPIB781JafElpCW2N3F4xHMDpX_7kY2yd87Q4liXPsH_TK5XO1kmLIeN7fiiL7ZxVJ4tmCCTBOxMDOevBaQhPBXkFmiwFBdLFzpBtoFYmIOho5XjC2XkFDfolm2k0Xq2mLtjmdn1c7slPFV1PLfaDGHXx1cWk7_79PtfUQFQ</recordid><startdate>20060721</startdate><enddate>20060721</enddate><creator>Forrester, P. J</creator><creator>Frankel, N. E</creator><creator>Makin, M. I</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20060721</creationdate><title>Analytic solutions of the 1D finite coupling delta function Bose gas</title><author>Forrester, P. J ; Frankel, N. E ; Makin, M. I</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_cond_mat_06075423</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Physics - Mathematical Physics</topic><topic>Physics - Statistical Mechanics</topic><toplevel>online_resources</toplevel><creatorcontrib>Forrester, P. J</creatorcontrib><creatorcontrib>Frankel, N. E</creatorcontrib><creatorcontrib>Makin, M. I</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Forrester, P. J</au><au>Frankel, N. E</au><au>Makin, M. I</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytic solutions of the 1D finite coupling delta function Bose gas</atitle><date>2006-07-21</date><risdate>2006</risdate><abstract>An intensive study for both the weak coupling and strong coupling limits of
the ground state properties of this classic system is presented. Detailed
results for specific values of finite $N$ are given and from them results for
general $N$ are determined. We focus on the density matrix and concomitantly
its Fourier transform, the occupation numbers, along with the pair correlation
function and concomitantly its Fourier transform, the structure factor. These
are the signature quantities of the Bose gas. One specific result is that for
weak coupling a rational polynomial structure holds despite the transcendental
nature of the Bethe equations. All these new results are predicated on the
Bethe ansatz and are built upon the seminal works of the past.</abstract><doi>10.48550/arxiv.cond-mat/0607542</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Mathematical Physics Physics - Mathematical Physics Physics - Statistical Mechanics |
| title | Analytic solutions of the 1D finite coupling delta function Bose gas |
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