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ME501HW2F2011

ME501HW2F2011 - 1 ME 501 Homework#2 Due Monday October 3...

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1 ME 501 Homework #2 Due Monday, October 3, 2011 Prof. Lucht (E-mail address: [email protected]) 1. NML, problem 3.5, p. 148. 2. The time-independent part of the wavefunction for the 3, 0 n m state of the hydrogen atom is spherically symmetric and is given by   2 0 0 0 300 300 3/2 0 300 300 27 18 2 exp 3 , , , , 81 3 1 n m r r r a a a r r R r a       The Bohr radius   2 2 10 0 0 4 / 0.52918 10 e a m e m   and the electron spin is neglected. (a) Calculate the expectation value of the potential energy of the electron   V r , where   2 0 / 4 V r e r     . [ Note: In these formulas the factor 0 is the dielectric permittivity, not an energy, 12 2 0 8.854 10 C J m ] . Recall that for a spherically symmetric function d   4 r 2 dr .
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