- #1

wawitz

- 1

- 0

(mv

^{2})/r= |(dU(r))/dr|

With the angular momentum quantization of: mvr= nℏ

Then use this to calculate the spectrum for circular motion in a potential of U = F

_{0}r.

After combining these equations, along with E = Ke + Pe (for kinetic and potential energies), I obtained this equation:

E

_{n}= 3/2*(n

^{4/3}ℏ

^{4/3}F

_{0}

^{2/3}+F

_{0}

^{2/3}n

^{2/3}ℏ

^{2/3})/m

^{1/3}

The next step confuses me. To obtain a spectrum, I would have to use the relation ∆E=hc/λ; however this requires a difference of energies for ΔE. Would this mean setting up an equation for E

_{n+1}– E

_{n}, using the equation I found for E

_{n}?