HW14Sol - {4‘1- 3 {MIDhJ 0+ ?rbla‘o~\ 1'1 'HW. 101, ]...

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Unformatted text preview: {4‘1- 3 {MIDhJ 0+ ?rbla‘o~\ 1'1 'HW. 101, ] «ml 9‘35 EXAM 1341+“, ‘ E5“; Em EOEEL+\L+11]' Eo[11i|1*11] = «Ea ' Eul- Em '= E. [21* 7}" 11]" E. [11+ \‘W H r ‘1 ED ‘ E311" Em : Ear—32* 11* ‘1] - EODIJ‘ I1" [I] = H Ea i 5”) E741) Elli) “‘1 on, Ms: ‘ In aouxgk'h amhay (,4in +LL11‘um‘on on wry. [MAL : A sivx wH‘k c;m5'u1:\a any?“ 3A1“ LI filwz _ z Efl|“1,: ML: (“41+ “11] (“1% n L ) ETA-BIS, H; whim «mi ‘1') M3“ (1%“;th 710- MK’I’ away 0c.st um m“: and #3:} or “km “‘31 (mi «L31; owl-Hut Z 55% hm; 'Hu. SAM our” so WTH‘C 'HH— 1W¥‘utra\l Lanna}: 3+4“ CH.” _Q'=¢9’[12_J J(av-i3) so “Br n13] £=O,l,or7_ M: 0,31“: ,LQ) so “FM JET—O.) m=O fir flr-vl) 1".) 0,51] Z 4.: 1:2, M=-l l+3+ S = q ! ,9 4L +0414 “‘oJr are”, (rm. cupid I') I : JJQ W 0 o Je-{M7 i; :u 4o [844137 2’: (956‘ 327T 01.? km)" :23 Chapter 7 — Atomic Physics 2 —rla0 7-28. V! = e 100 Because t/lmo is only a function of r, the angle derivatives in Equation 7-9 are all " i[r2fl)= 2 __1_ r2 __1_ 2r e—r/ao dr dr 47mg a0 ao ‘ 1 d [r2 == 2 ——1-] e"’“" Substituting into Equation 7-9, r2 dr (Mm; a0 r a0 712 1 2 __ "—2 - l11/100 + VV/loo = Ell/loo 2/1 a0 aor For the 100 state r = a0 and 27ra0 = l =27r/k or (10 =1/k, so 2 2 2 Thus, —- = hzk and we have that ,u 72sz 2;! + V = E, satisfying the Schrodinger equation. ...
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HW14Sol - {4‘1- 3 {MIDhJ 0+ ?rbla‘o~\ 1'1 'HW. 101, ]...

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