Classical instability of the H-atom: In the Bohr Model of the H-atom, an electron orbits the nucleus in a circle of radius r0. One serious problem with this model is that a charged particle moving in a circle is accelerating, and an accelerating charge radiates away EM energy according to the Larmor formula (Griffiths 11.70). So the H-atom will lose energy and the electron will quickly spiral into the nucleus, according to classical electrodynamics and mechanics. (a) Derive a formula for the total energy [U(r)
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