Calculate the occupation number Hamiltonian for a delta function two-body interaction (Vleft(vec{r}_{i}-vec{r}_{j} ight)=V_{0} deltaleft(vec{r}_{i}-vec{r}_{j} ight)).

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Calculate the occupation number Hamiltonian for a delta function two-body interaction \(V\left(\vec{r}_{i}-\vec{r}_{j}\right)=V_{0} \delta\left(\vec{r}_{i}-\vec{r}_{j}\right)\).

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