An electron of mass m is in a circular orbit in the potential U=0.5 k r^2. Using Bohr's quantization rule, find the allowed orbital radii and energy levels of this electron.© BrainMass Inc. brainmass.com July 21, 2018, 12:15 am ad1c9bdddf
U is the potential energy of a harmonic oscillator, i.e. the force is proportional to minus the distance. If you differentiate U w.r.t. r then you get minus the force in the radial direction. As you can see, it is given by:
F_r = -k r (1)
In this problem it is assumed that the electron is in such ...
A detailed solution is given.