Correlation inequalities for noninteracting Bose gases
Suto, Andras
arXiv, 0309003 / Harvested from arXiv
Text on arXiv
For a noninteracting Bose gas with a fixed one-body Hamiltonian H^0 independent of the number of particles we derive the inequalities _N < _{N+1}, _N < _N _N for i\neq j, \partial _N/\partial \beta >0 and ^+_N < _N. Here N_i is the occupation number of the ith eigenstate of H^0, \beta is the inverse temperature and the superscript + refers to adding an extra level to those of H^0. The results follow from the convexity of the N-particle free energy as a function of N.
Publié le : 2003-09-01
Classification:  Mathematical Physics,  Condensed Matter - Statistical Mechanics,  Mathematics - Probability 
@article{0309003,
     author = {Suto, Andras},
     title = {Correlation inequalities for noninteracting Bose gases},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0309003}
}

Suto, Andras. Correlation inequalities for noninteracting Bose gases. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0309003/