How Are Quantum Eigenfunctions of Hydrogen Atom Related To Its Classical Elliptic Orbits?

Yixuan Yin, Tiantian Wang, Biao Wu

We show that a highly-excited energy eigenfunction $\ddot{I}{ˆ}_{nlm}(\vec{r})$ of hydrogen atom can be approximated as an equal-weight superposition of classical elliptic orbits with energ…