536 Atomic Physics(b)184.108.40.206.40.20012345Probability Curve for Hydrogenr /a0FIG. P42.66(c)The probability of finding the electron inside or outside the sphere of radius ris 12.∴++FHGIKJ=−22112202020raraeraor zzez2++=where zra=20One can home in on a solution to this transcendental equation for ron a calculator, theresult being =1340.to three digits.P42.55Let rrepresent the distance between the electron and the positron. The two move in a circle ofradius r2around their center of mass with opposite velocities. The total angular momentum of theelectron-positron system is quantized to according toLmvrmvrnn=+==wheren=123,,,….For each particle, Fma∑=expands tokermvre2222=.We can eliminate vnmr==to findrmnmre22==.So the separation distances arernmk eanne===×−
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