Spherical polar coordinates dx ax or dx 80 ox op a.cos0cosφo sino a =sin0cosφ Or 00 rsine do =sinosin 0+cos8sinp.0+cos中.0 3 00 rsine 0d a =cos0o sino o 0z Or r 60 72 10 1 1 r20 (sin 2 Or r2 sine 00 a0 r2sin20002 Ze2 n-e (4πE)r 1 1 1 r2 or ay+8πm(E+ Or o(sin+r sin2e 062 r2sine 80 a0 Ze'=0 4π6ISpherical polar coordinates () ( ) ( ) r x xr x xp                cos cos sin sin cos rr rsin                 cos sin cos sin sin y rr rsin                               z r r sin cos 2 2 2 2 2 2 2 2 sin 1 (sin ) sin 1 ( ) 1                     r r r r r r 2 0 (4 ) n e Ze V  r    The Schrödinger equation 2 2 2 2 2 2 22 2 2 0 11 1 8 ( ) (sin ) ( ) 0 sin sin 4 m e Ze r E rr r r r h r                       