Origin of Oscillations in Bound State Quantum Mechanics?

Main Author: Francesco R. Ruggeri
Format: info publication-preprint Journal
Terbitan: , 2019
Subjects:
Online Access: https://zenodo.org/record/2648466
Daftar Isi:
  • It seems a signature feature of quantum bound state is the presence of oscillations. For example, in an oscillator, these are present both in P(x) and P(p) for states above the ground state. In addition, they do not disappear even as one approaches a high energy eigenvalue limit. The correspondence principle applies to an envelope of the density W(x)W(x) (W(x)=wavefunction), but oscillations still remain. They are also present for a particle in a box without a potential. In this note, we try to examine how these oscillations of a single particle can lead to more complicated oscillations for a particle in a potential.