4 problems

Let the initial state be the sharply peaked state $\Psi_{T=0}(z)=\delta(z-z_\mathrm{i})$, and consider its time evolution in a false-vacuum region (FV region), with the desired exc…

Zero-splitting and hopping conjecture. The potential $v_0$ can be chosen so that the associated double well Hamiltonian has zero eigenvalue splitting for infinitely many values of…

Let $x,y,z\in X$ be three wells in a graph with equal pairwise distances $a=b=c$, and let $c_{uv}$ denote the sum over shortest paths from $u$ to $v$ of the products of inverse squ…

Let $E$ be a complex energy, and consider the tunneling probabilities of classical particles with complex energy and the corresponding quantum tunneling probabilities. Bender–Hook…