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The Gross-Pitaevskii functional with a random background potential and condensation in the single particle ground state

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  • معلومة اضافية
    • Contributors:
      Laboratoire Analyse, Géométrie et Applications (LAGA); Université Paris 8 Vincennes-Saint-Denis (UP8)-Université Paris 13 (UP13)-Institut Galilée-Centre National de la Recherche Scientifique (CNRS); ANR-08-BLAN-0261,EMTMD,Étude mathématique du transport électronique en milieu désordonné(2008)
    • بيانات النشر:
      HAL CCSD
    • الموضوع:
      2010
    • Collection:
      Université Paris Lumières: HAL
    • نبذة مختصرة :
      This version corrects a mistake in the proof of Lemma 5. ; For discrete and continuous Gross-Pitaevskii energy functionals with a random background potential, we study the Gross-Pitaevskii ground state. We characterize a regime of interaction coupling when the Gross-Pitaevskii ground state and the ground state of the random background Hamiltonian asymptotically coincide.
    • Relation:
      info:eu-repo/semantics/altIdentifier/arxiv/0910.2896; hal-00424415; https://hal.science/hal-00424415; https://hal.science/hal-00424415v2/document; https://hal.science/hal-00424415v2/file/BEC-26-05-10_ArXiv.pdf; ARXIV: 0910.2896
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.1D878B61