Lower Bounds on Quantum Tunneling for Excited States

TL;DR

This paper extends the theoretical understanding of quantum tunneling by analyzing lower bounds for excited states in symmetric single-well potentials across multiple dimensions.

Contribution

It generalizes previous results to include reflection-symmetric potentials in all spatial dimensions, providing new lower bounds on tunneling for excited states.

Findings

Derived lower bounds for quantum tunneling in symmetric potentials

Extended analysis to multiple spatial dimensions

Applicable to excited states in continuum without magnetic fields

Abstract

We revisit the problem of quantum tunneling for a particle moving in the continuum, and in the absence of a magnetic field. In all spatial dimensions, we extend previous results to the case where the single-well potential satisfies reflection-symmetry.