Cycling in Quantum

Abstract

The factor exp(iEt), where E is the energy, is present in a bound quantum state wavefunction; however, it vanishes when the density, a physical observable, is calculated. Similar to some earlier notes, we contend in this one that a quantum mechanical description is driven by exp(iEt), which stands for cycling. Physical dynamics in the wavefunction that are not apparent in the overall density are made possible by it. P(p\x), the likelihood of having a momentum p at a given x (i.e., p depends on x), and the concept of flow based on average energy conservation at each point appear to be related to this physical dynamics at the wavefunction level.