HatomWavefunctionExampleF2011

HatomWavefunctionExampleF2011 - ME 501 Hydrogen Atom...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
ME 501 Hydrogen Atom Wavefunction Example Problem The time-independent parts of the wavefunction  nm r (, , ) for the   21 1 ,, state of the hydrogen atom is given by   211 0 0 52 211 0 0 211 211 2 8 2 8 (, , ) exp / sin exp exp / sin exp / / r rr a a i Rr a a i  b g a f af bg a f  The Bohr radius am e m e 00 22 1 0 4 0 52918 10  ch c h /. and the electron spin is neglected. (Note: In these formulas the factor 0 is the dielectric permittivity, not an energy). (a) Show that the wavefunction given above is normalized. Recall that for spherical coordinates 2 sin dr d r d d  and that r can take on values from 0 to , from 0 to , and from 0 to 2 . The following definite integral relation will be needed
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online