Quantum-Classical Connection for Hydrogen Atom-like Systems

摘要

The Bohr-Sommerfeld quantum theory specifies the rules of quantization for circular and elliptical orbits for a one- electron hydrogen atom–like system. This article illustrates how a formula connecting the principal quantum number ‘ n ’ and the length of the major axis of an elliptical orbit may be arrived at starting from the quantum mechanical description and how in the limit when ‘ n ’ is large one gets the expected classical result.