Theoretical and Mathematical Physics

, Volume 108, Issue 3, pp 1187–1194 | Cite as

The infrared bounds method in the study of boson systems

  • M. Corgini
  • D. P. Sankovich


This is a study of the equilibrium thermodynamics of a lattice boson gas with on-site repulsion and nearest-neighbor site attraction. For this system, the existence of a Bose condensate is proved and an equation for the lower estimate of the critical temperature is obtained. Moreover, the upper and lower bounds for the structure factor are derived. Finally, in the framework of the infrared bounds method, a Huang-Davies-type Bose system is studied.


Lower Bound Structure Factor Critical Temperature Equilibrium Thermodynamic Lower Estimate 
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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • M. Corgini
    • 1
    • 2
  • D. P. Sankovich
    • 3
  1. 1.Departamento de MatemáticasUniversidad de La SerenaLa SerenaChile
  2. 2.Departamento de Matemáticas y C.C.Universidad de Santiago de ChileSantiagoChile
  3. 3.Steklov Mathematical InstituteMoscowRussia

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