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Let's take a usual non-relativistic many body bosonic (there is not much difference in taking bosons of fermions, at least for the purpose here) Hamiltonian for $N$ particles of mass $1/2$ on $L^2_{s}(\mathbb{R}^{Nd})$ (where $s$ stands for symmetric functions, wrt exchange of particles): $$H=H_0+H_{int}=\sum_{j=1}^N ...



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