Mean-Field Interacting Boson Random Point Fields in Weak Harmonic Traps

  title={Mean-Field Interacting Boson Random Point Fields in Weak Harmonic Traps},
  author={Hiroshi Tamura},
A model of the mean-field interacting boson gas trapped by a weak harmonic potential is considered by the boson random point fields methods. We prove that in the Weak Harmonic Trap (WHT) limit there are two phases distinguished by the boson condensation and by a different behaviour of the local particle density. For chemical potentials less than a certain critical value, the resulting Random Point Field (RPF) coincides with the usual boson RPF, which corresponds to a non-interacting (ideal… CONTINUE READING

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Referenced Papers

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Showing 1-10 of 30 references

Random Point Fields for Para-Particles of Any Order

  • TIc H.Tamura, K. R. Ito
  • J. Math. Phys
  • 2007

Zagrebnov , Equilibrium states for the Bose gas

  • V. A. Zagrebnov, L. Vandevenne, A. Verbeure, A. V.
  • J . Math . Phys .
  • 2007

Yngvason, The Mathematics of the Bose Gas and its Condensation (Birkhaeuser

  • E. H. Lieb, R. Seiringer, J.J.P. Solovej
  • 2005

Zagrebnov, Equilibrium states for the Bose gas, J.Math.Phys

  • VVZ L. Vandevenne, V.A.A. Verbeure
  • 2004

Random point fields associated with certain Fredholm determinants I: fermion, Poisson and boson point processes

  • T. Shirai, Y. Takahashi
  • J. Funct. Anal
  • 2003

The Equilibrium States of the Free Boson Gas

  • LePu J. Lewis, J. V. Pulè
  • J . Stat . Phys .
  • 2003

Zagrebnov, Bose-Einstein Condensation for Homogeneous Interactig Syste with a One-Particle Spaectral Gap, J.Stat.Phys

  • J. Lauwers, V.A.A. Verbeure
  • 2003

Lytvynov, Fermion and boson random point processes as particle distributions of infinite free Fermi and Bose gases of finite density

  • E. Ly
  • Rev. Math. Phys
  • 2002

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