# Bohr–Sommerfeld quantization

Classical Mechanics Level 5

According to the Bohr–Sommerfeld quantization postulate the periodic motion of a particle in a potential field must satisfy the followint quantization rule:

$$\oint p dq = hn$$

$$p$$ - is momentum of a particle

$$dq$$ - is generalized coordinate of a particle

$$n$$ - is a positive integer

Find the value of energy for unidimensional potential field $$U=\frac{kx^2}{2}$$ at $$n=3$$ state and

$$k=\frac{576\pi^2}{ h^2}$$

$$m=1$$

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