@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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              We rigorously revisit a textbook model used to figure out the Bose-Einstein condensation (BEC) phenomenon created by dilute cold alkali atoms gases in a magnetic-optical trap. It consists of a d-dimensional (d=1,2,3) ideal non-relativistic spin-0 Bose gas confined in a box and trapped in an isotropic harmonic potential. Throughout we review and clarify a series of methods involved in the derivation of the thermodynamics in the grand-canonical situation. To make the derivation consistent with the usual rules of the statistical mechanics, we assign through our open-trap limit approach the role of canonical parameter to a rescaled number of particles (instead of an effective density involving the pulsation of the trap). Within this approach, we formulate an Einstein-like and Penrose-Onsager-like criterion of BEC and show their equivalence. Afterwards, we focus on the spatial localization of the condensate/thermal gas. When dealing with the reduced density matrix, our method is similar to the loop path approach.
            """ ;
    dct:identifier "hal-00834558" ;
    dct:issued "2026-05-10T17:11:33.213075"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-10T17:11:33.213080"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "The ideal Bose gas in open harmonic trap systems and its condensation revisited." ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
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    dcat:keyword "0530-d-0530jp-6785hj-6785jk-0375hh",
        "bose-einstein-condensation-bec",
        "cold-atomic-gases",
        "harmonic-potential",
        "infoeu-reposemanticspreprint",
        "inhomogeneous-systems",
        "mathmath-mpmathematics-mathmathematical-physics-math-ph",
        "penrose-onsager-criterion",
        "physcondcm-smphysics-physicscondensed-matter-cond-matstatistical-mechanics-cond-matstat-",
        "physcondgasphysics-physicscondensed-matter-cond-matquantum-gases-cond-matquant-gas",
        "preprints-working-papers-",
        "quantum-statistical-mechanics",
        "thermodynamic-limit",
        "weak-harmonic-limit" ;
    dcat:landingPage <https://hal.science/hal-00834558> .

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    dct:issued "2026-05-10T17:11:33.237694"^^xsd:dateTime ;
    dct:modified "2026-05-10T17:11:33.196815"^^xsd:dateTime ;
    dct:title "The ideal Bose gas in open harmonic trap systems and its condensation revisited." ;
    dcat:accessURL <https://hal.science/hal-00834558> .

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