(a) Suppose the Hamiltonian of a rigid rotator in a magnetic field perpendicular to the axis is...

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(a) Suppose the Hamiltonian of a rigid rotator in a magnetic field perpendicular to the axis is of the formimage

if terms quadratic in the field are neglected . Assuming B ≫ C, use perturbation theory to lowest nonvanishing order to get approximate energy eigenvalues.

(b) Consider the matrix elementsimage

of a one-electron (for example, alkali) atom. Write the selection rules for Δl, Δml, and Δms . Justify your answer.

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Modern Quantum Mechanics

ISBN: 9780805382914

2nd Edition

Authors: J. J. Sakurai, Jim J. Napolitano

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