ME 501 Hydrogen Atom Wavefunction Example Problem The time-independent parts of the wavefunction nmr( , ,)for the nm 211,,state of the hydrogen atom is given by 211005 2211005 22112112828( , ,)exp/sinexpexp/sinexp//rrraaiRrrraaibgafa fbga fa fafThe Bohr radius am eme00221040 5291810 ch ch/.and the electron spin is neglected. (Note: In these formulas the factor 0is the dielectric permittivity, not an energy). (a) Show that the wavefunction given above is normalized. Recall that for spherical coordinates 2sindrdr dd and that rcan take on values from 0 to , from 0 to , and from 0 to 2. The following definite integral relation will be needed
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