Commutative diagram of the Gross-Pitaevskii approximation

Stefan Adams; Chiranjib Mukherjee

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arXiv · 1911.09635

Commutative diagram of the Gross-Pitaevskii approximation

Stefan Adams·Chiranjib Mukherjee

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Abstract

It is well-known that the {\it Gross-Pitaevskii} variational formula describes the the ground state energy of of $N$-indistinguishable trapped particles (bosons) in a dilute state in the large system size $N\to\infty$. 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 $N$-particle Hamiltonian operator.

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Stefan Adams, Chiranjib Mukherjee. 2019-11-21. Commutative diagram of the Gross-Pitaevskii approximation. https://arxiv.org/abs/1911.09635

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