Harmonic oscilators Flashcards
Classsic harmonic oscilator
a weight on a spring, oscilation is govenred by spring constant K
a weight on a spring, oscilation is govenred by spring constant K
Classsic harmonic oscilator
energy of a quantum oscilator
E_v=h𝝂(n+12)
E_v=h𝝂(n+12)
energy of a quantum oscilator
nu(𝝂) for a quantum oscilator
𝝂=(1/2π)√(K/ μ)
𝝂=(1/2π)√(K/ μ)
nu(𝝂) for a quantum oscilator
The reduced mass for quantum oscilation
μ=(m1m2)/(m1+m2)
μ=(m1m2)/(m1+m2)
The reduced mass for quantum oscilation
zero point energy for an oscilator
when N is zero our energy is h𝝂/2
size of quanta for an oscilator
the sepration is always h𝝂
the sepration is always h𝝂
size of quanta for an oscilator
How does K affect frequency (𝝂)?
the higher K is, the higher the frequency, and thus the greater the gaps in energy
How do the two masses affect the frequency?
the greater the masses the higher the frequency, and thus the greater the gaps in energy.
converting from normal frequency to wavenumber(𝝂~)
𝝂~=𝝂/c
𝝂~=𝝂/c
converting from normal frequency to wavenumber(𝝂~)
