October 17, 2019
angular momentum; de Broglie relation; kinetic energy; potential energy; electron waves; Planck's constant; phase velocity; Coulomb force
Through his experiments, the physicist Neils Bohr improved upon Rutherford's model of the atom and developed his model of the atomic structure in 1913 that succeeded in explaining the spectral features of the hydrogen atom. A simple means for extending the conventional non-relativistic Bohr model of the atom to include the wave nature of electrons is presented. As the derivation requires basic knowledge of classical and wave mechanics, it can be taught in standard courses in modern physics and introductory quantum mechanics.