Gaussian quantum fluctuations in interacting many particle systems
Hartmann, M. ; Mahler, G. ; Hess, O.
arXiv, 0312045 / Harvested from arXiv
Text on arXiv
We consider a many particle quantum system, in which each particle interacts only with its nearest neighbours. Provided that the energy per particle has an upper bound, we show, that the energy distribution of almost every product state becomes a Gaussian normal distribution in the limit of infinite number of particles. We indicate some possible applications.
Publié le : 2003-12-17
Classification:  Mathematical Physics,  Quantum Physics,  81V70,  60F05 
@article{0312045,
     author = {Hartmann, M. and Mahler, G. and Hess, O.},
     title = {Gaussian quantum fluctuations in interacting many particle systems},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0312045}
}

Hartmann, M.; Mahler, G.; Hess, O. Gaussian quantum fluctuations in interacting many particle systems. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0312045/