soltn9 - Homework&18 Thestateis 59(a(D(c n=6 13'6 eV...

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Homework 9 Solutions &18 The state is 59 (a) n=6 * 13'6 eV E. =-11'6 eV = -.0.378 eV (D, t,=---V- (c) For a g-state, l=4 L =[t(l+1)]v" =(4 x !2t= Jfrn= q'.q7n (d) mt canbe 4, -3, -2, -1,0,7,2,3, or 4 L- =m,h; cos1=!= mt .-^S= nl L U(l+l)lv' lm m t 4 1 - 2 - 1 0 1 2 3 4 L , - $ - 3 h - 2 - h 0 i 2 h 3 t 4 e 7s3.1" 132.7' 176.6' 7U).9' 90' n J" 63.4" 47.9" 26.6" ' \ ,. I 4- a vr ,^ Il- ^ ^^.. " ' t^l-t;) tJe Carr MvO l- u, t, .r. , )o tAL Vo5s'b,l' 1 at IJt [ n , { , * ) = ( 3 , a , a ) ' ( a , a , r ) ; { 3 , : , o ) ; { : , a , - r ) ; ( 3 , a , - a ) l : ' t , r ) ' , ( i , t , o ) ' ) ( 3 , r ) - l ) (a, o, o) {o. a -f,Lt rt 4 slal es , 8122 R2rt)=Are-'l2a wherc A= 246fuf P(r) = 12 R?p?) = A2 | | e-4'" l) =i re<Oh = ezj 15 e-'t'o h = A2 a35t = Sao = 2.6rF A' 0 0 \ ,')/ \ ^ '(/Aqo hl-lb) \(tr/= 6na $ d ^ ? , 1 1 - r / u o - ( / 2 A o - l n t , t l - t - t / A a . t'Ktt)= Al'(-io)e e "-' J= ALi- iaJ e AA -.-^orr n I 1 ^-f/aa. [, -L!\l )l^-r/eao1 {raK{r) -- A : Aaoe + [l-i q")l'etJe - J . A[fi,^- tf,"*"
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b)o nzed 1o solvc- -FlL$".+ j.lnr,r.#Rk)-H IRr,)= E R(, t l- H, fi"* n ff; - #t:X,-ia)l o;r/aa"- # A"6'/*o - #- f, hr{'/'^ = E- A,e-*% Canrolt arvnmon {o,hrs. o( h, rre "/ " $ 0* h'' h7 , h/ h'- , t,/ s)' L - -fue * frq"'? -tfir\r F-"ra,? *rfr^ - +rrUr ' L ^ ATt€ar h2 i5,.rt 4 -- (Zcl a So \ ^ r e L l \ e .-\ / Y :-. f : - tnllrt6 +^e) + :) tf.. eqoqJ,\tn LS SolveJ v kri+ m t e z I \ a k = - B ' t f r q h i 84o 106" 124
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w-18) fo, +'tu fft Usr^A cl-.
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