4 problems

Correlated-catalysis free-energy conjecture. If

Generalised Rayleigh-Normal conjecture. The optimal rate for transforming quantum dichotomies in the small deviation regime is given by Eq. … .

The thermal temperature and the quantum temperature $T_\Psi$ are considered for a system with nonlinear coupling $b$. Temperature–coupling conjecture. Thermal temperature is relate…

Let $E_{\alpha}$ and $\Psi(\alpha)$ be exact eigenvalues and eigenfunctions of the full $N$-particle Hamiltonian. For a finite system, let $E_0$ be the mean energy of the initial s…