4 problems

Transverse matrix-element conjecture. The first-order splitting matrix element satisfies

Let $S^x$, $S^y$, and $S^z$ be the subspaces of the coupling-constant space defined by requiring the two corresponding quantities $\beta_2^v$ and $\beta_2^w$ to satisfy…

In the regime where inter-species interactions dominate intra-species interactions, the system has spin excitations with quadratic dispersion above a ferromagnetic ground state, be…

Let $m(\beta)$ denote the spontaneous magnetization of the quantum Heisenberg ferromagnet, represented through the interchange process on $[-r,r]^3$ at inverse temperature $\beta$.…