The Halmitonian describing an axially symmetric rotor is given by L + L3 L? H 21 213 (a) Find the spectrum of H (the eigenvalues) and write down the 5 lowest states. (b) How does you answer to 4(a) above changes in the limit I1 → I3?
The Halmitonian describing an axially symmetric rotor is given by L + L3 L? H 21 213 (a) Find the spectrum of H (the eigenvalues) and write down the 5 lowest states. (b) How does you answer to 4(a) above changes in the limit I1 → I3?
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![The Hamiltonian describing an axially symmetric rotor is given by
\[
H = \frac{L_x^2 + L_y^2}{2I_1} + \frac{L_z^2}{2I_3}
\]
(a) Find the spectrum of \(H\) (the eigenvalues) and write down the 5 lowest states.
(b) How does your answer to 4(a) above change in the limit \(I_1 \to I_3\)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb460c0c-d029-4e90-a450-1d82490780a1%2Fcc046eca-6652-4b70-92b4-86f68da162b3%2Fsjty08rf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The Hamiltonian describing an axially symmetric rotor is given by
\[
H = \frac{L_x^2 + L_y^2}{2I_1} + \frac{L_z^2}{2I_3}
\]
(a) Find the spectrum of \(H\) (the eigenvalues) and write down the 5 lowest states.
(b) How does your answer to 4(a) above change in the limit \(I_1 \to I_3\)?
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