6 problems

Let $u^\varepsilon$ be the wave function and define its rescaling near the origin by … Assume that $w^\varepsilon$ is bounded in the appropriate weighted space and let…

Assume the structural assumptions (SC), let $5>0$, and let $10_0^5$ be initial data of the form $10_0^5=\widehat{\vec V_0}v_0^5+O(\sqrt{5})$ in $L^2(\mathbb R^d)$. Let…

The paper considers the Herman–Kluk approximation to the evolution of semiclassical wave packets for a matrix-valued Hamiltonian, with $boldsymbol{ u}0$ denoting the initial data,…

Wave-packet propagation conjecture. Wave-packets propagating along boundaries between regions of differing spectral localizer index do not lose significant mass whenever the locali…

Let $E$ be the extension operator and let … denotes the target inequality. Sufficiency conjecture. The condition … to hold. The conjecture proposes that the stated refinement gives…

Let two Gaussian wave packets undergo a head-on collision, and let quantum entanglement denote the nonclassical correlation produced by their collision. The underlying microscopic…