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Unformatted text preview: operator . 7. What is the eigenvalues of the . 8. Rotational energy spectrum of a molecule arises from the Hamiltonian Where are moments of inertia along the axes . If the moments of inertias calculate rotational energy of the molecule? For a rigid rotator Calculate rotational energy of rotator. 9. Eigenvalue equation of the is given by For which values of the the following functions solutions of equation: 10. Using the definition , show that Satisfy the uncertainty principle. 11. Determine the magnetic moment produced by an electric charge moving along a circular orbit. 12. Show that magnetic moment is proportional to the angular momentum. 13. Write down the spin magnetic moment produced by a charged particle rotating about its axis. 14. Show that the spin matrices Satisfy the commutation relations: 15. Using the definition , show that Satisfy the uncertainty principle....
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