Test kinetic-energy scaling beyond steep-wall systems

Investigate whether the dimension-independent kinetic-energy scaling identified for steep-wall single-particle chaotic systems also occurs in other classes of systems.

Background

For systems with steep-wall confinement, the paper finds that the off-diagonal ETH envelope contains an entropy-dependent factor together with an additional kinetic-energy-dependent factor that is independent of spatial dimension. The authors establish this scaling analytically for the considered class and verify it numerically in a generalized quarter-Sinai billiard. They leave unresolved whether analogous energy scaling occurs in other classes of chaotic single-particle systems.