Commutative diagram of the Gross-Pitaevskii approximation
Probability
2019-11-22 v1
Abstract
It is well-known that the {\it Gross-Pitaevskii} variational formula describes the the ground state energy of of -indistinguishable trapped particles (bosons) in a dilute state in the large system size . The goal of the present article is to prove that the Gross-Pitaevskii formula also appears in the {\it iterative limit} of zero temperature and large system size of the {\it product ground state energy} of the -particle Hamiltonian operator.
Keywords
Cite
@article{arxiv.1911.09635,
title = {Commutative diagram of the Gross-Pitaevskii approximation},
author = {Stefan Adams and Chiranjib Mukherjee},
journal= {arXiv preprint arXiv:1911.09635},
year = {2019}
}