Prove Kramers relation: which relates the expectation values of r to three different powers (s,s-1, and s-2),
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Prove Kramers’ relation:
which relates the expectation values of r to three different powers (s,s-1, and s-2), for an electron in the state Ψnℓm of hydrogen. Rewrite the radial equation (Equation 4.53) in the form
and use it to express ∫(ursun) dr in terms of (r3), (rs-1), and (rs-2). Then use integration by parts to reduce the second derivative. Show that
Take it from there.
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Related Book For
Introduction To Quantum Mechanics
ISBN: 9781107189638
3rd Edition
Authors: David J. Griffiths, Darrell F. Schroeter
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