2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138549We present an analytic example of two dimensional quantum mechanical system, where the exponential suppression of the probability of over-barrier reflection changes non-monotonically with energy. The suppression is minimal at certain "optimal" energies where reflection occurs with exponentially larger probability than at other energies.Journal version. Introduction expanded, references addedQuantum PhysicsHigh Energy Physics - TheoryChaotic DynamicsAtomic PhysicsChemical PhysicsOn the over-barrier reflection in quantum mechanics with multiple degrees of freedomtext