3 problems

Let $e_F(\gamma;\kappa)$ be the ground-state energy of the $\kappa$-component model at coupling $\gamma$, and write its weak-coupling expansion in powers of $\gamma^{1/2}$. Let…

Let $e_F(\gamma;\kappa)$ denote the ground-state energy of the YangGaudin model, with coupling parameter $\gamma$ and number of components $\kappa$. For the two-component case, def…

Let $e(\gamma)$ denote the ground-state energy of the $\delta$-Bose gas at weak coupling, expanded in powers of $\gamma^{1/2}$, and let the coefficient of $\gamma^{1+m/2}$ be under…