Just like in Bohr's Model where waves are restricted to multiple whole wavelengths around fixed orbits, the particle display resonance when its circular frequency \(f_{cir}\) and its oscillation frequency, \(f_{SHM}\) are related by,
\(\cfrac{f_{SHM}}{f_{cir}}=n\)
\(n=1,2,3\)
In this case, the particle need not be in resonance, but if in resonance it will absorb high amount energy from its environment and the standing wave gain amplitude rapidly. (Circular Standing Wave Resonance).
The spread of velocities such particle can have, results in a board absorption spectrum. A minimum velocity requirement truncates the spectrum at the lower energy side. Lower velocity particles on both sides of the center \(\psi_{max}\), give the lower energy spectrum a burgle. Higher velocity particles being restricted to above \(\psi_{max}\) only thins out rapidly but are not restricted from attaining higher velocitis. Resonance due to circular standing wave causes sharp dips in the absorption spectrum as such waves at resonance absorb energy rapidly. When this energy at specific frequencies are emitted they form the emission spectrum.
Spectra lines still but in a fuzz, all frequency are absorbed but more so at specific circular standing wave resonance (CSWR) frequencies.
Scilab...
