3 problems

Bounded-coefficient conjecture. This representation holds with coefficients satisfying

ODLRO conjecture. ODLRO, and therefore BEC, is valid in dimensions $d\geq 3$ at sufficiently small temperature, but is not valid at other temperatures or in other dimensions.

Let $\hat{\rho}$ be a density matrix for a system with $L$ sites and $N$ flavors, and let $\hat{\rho}_n$ be its $n$-particle reduced density matrix. Write $\lambda_n$ for the maxim…