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- Homework Statement
- confusion about the definition of angular frequency in nuclear structure

- Relevant Equations
- E=hbar omega

Hi all

I am a little bit confused about the definition of angular frequency in the context of nuclear rotation, some times its defined in the regular way as

$$

E=\hbar \omega

$$

and other time from the rigid rotor formula

$$

E=\frac{\hbar^{2}}{2I} J(J+1)

$$

where ##I## is the moment of inertia and ##J## is the angular momentum quantum number, then I saw omega defined as:

$$

\omega =\frac{1}{\hbar} \frac{dE}{d\sqrt{J(J+1)}}

$$

why the two definitions? any help on that

I am a little bit confused about the definition of angular frequency in the context of nuclear rotation, some times its defined in the regular way as

$$

E=\hbar \omega

$$

and other time from the rigid rotor formula

$$

E=\frac{\hbar^{2}}{2I} J(J+1)

$$

where ##I## is the moment of inertia and ##J## is the angular momentum quantum number, then I saw omega defined as:

$$

\omega =\frac{1}{\hbar} \frac{dE}{d\sqrt{J(J+1)}}

$$

why the two definitions? any help on that

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