Classical limit of the hydrogen atom
Debajyoti Bhaumik, Binayak Dutta-Roy, Gautam Kumar Ghosh · Journal of Physics A Mathematical and General · 1986
A wave packet which travels on an elliptic trajectory is constructed for the hydrogen atom. This is achieved by mapping the Schrodinger equation for the hydrogen atom into the equation for a four-dimensional oscillator with a constraint. A set of coherent states for the constrained oscillator are then shown to have at high average energy the classical limit properties as obtained for planetary motion, to a good approximation.