Question

Show that R(r) is a solution of the following differential equation for l = 1, R(r) = (r/ao) * e-r/2ao.

h21(L+1) 2mer2 h2 e2 d dR(r) ]R(r) 4περr ER(r) 2mer2 dr dr

What is the eigenvalue? Using this result, calculate the value of the principal quantum number (n) for this function.

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selcufion? Given that . for tas, Pca) -lama)2-71300 the above differlerdinak egin can also be written as + UT whese peut, Poco-efficient é can be found as, waws, v(P) = toe cream . a(p) = eo petief for large op, the positive exponential is preciselyen la c) *3* en na 1, 2, 3 ...... foom Bohrs formda , we get as Bohrs radius = 0.53x100m Now, the spatial wave feen. ctionsa) [Fico (7,6.B) = Da ce va for follo) (n=2, 151) So, VCP) é ps . . U(P) e copos do Em = 5 РА* * (е NOVO - copa el R21 DEVRA

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