---
res:
  bibo_abstract:
  - Now that the low temperature properties of quantum-mechanical many-body systems
    (bosons) at low density, ρ, can be examined experimentally it is appropriate to
    revisit some of the formulas deduced by many authors 4-5 decades ago. For systems
    with repulsive (i.e. positive) interaction potentials the experimental low temperature
    state and the ground state are effectively synonymous -- and this fact is used
    in all modeling. In such cases, the leading term in the energy/particle is 2πℏ2aρ/m
    where a is the scattering length of the two-body potential. Owing to the delicate
    and peculiar nature of bosonic correlations (such as the strange N7/5 law for
    charged bosons), four decades of research failed to establish this plausible formula
    rigorously. The only previous lower bound for the energy was found by Dyson in
    1957, but it was 14 times too small. The correct asymptotic formula has recently
    been obtained by us and this work will be presented. The reason behind the mathematical
    difficulties will be emphasized. A different formula, postulated as late as 1971
    by Schick, holds in two-dimensions and this, too, will be shown to be correct.
    With the aid of the methodology developed to prove the lower bound for the homogeneous
    gas, two other problems have been successfully addressed. One is the proof by
    us that the Gross-Pitaevskii equation correctly describes the ground state in
    the `traps' actually used in the experiments. For this system it is also possible
    to prove complete Bose condensation, as we have shown. Another topic is a proof
    that Foldy's 1961 theory of a high density Bose gas of charged particles correctly
    describes its ground state energy.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Élliott
      foaf_name: Lieb, Élliott
      foaf_surname: Lieb
  - foaf_Person:
      foaf_givenName: Jan
      foaf_name: Solovej, Jan
      foaf_surname: Solovej
  - foaf_Person:
      foaf_givenName: Robert
      foaf_name: Seiringer, Robert
      foaf_surname: Seiringer
      foaf_workInfoHomepage: http://www.librecat.org/personId=4AFD0470-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-6781-0521
  - foaf_Person:
      foaf_givenName: Jakob
      foaf_name: Yngvason, Jakob
      foaf_surname: Yngvason
  bibo_doi: 10.48550/arXiv.math-ph/0204027
  dct_date: 2002^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/9781571461018
  dct_language: eng
  dct_publisher: International Press@
  dct_title: The ground state of the Bose gas@
...