PHYS 190 Lecture Notes - Lecture 13: Photon Energy, Hydrogen Atom, Photon
30 Apr 2018
School
Department
Course
Professor
!"#"$%&'( )"*%"+&("(#,+(,-(.%'%/#&(#%01+
2
34(&4+%)&(0"#"$*5(6,%.%40("7"5(-),6(8'("+(9:;(,-(+1&('<&&*(,-(#%01+
2
=,'6%>(&$<"4'%,4?
2
@,,A%40(/">A("/,8+(BC(/%##%,4(5&")'
2
DE=FGHI(JK(LGMM@I(KEI@N
@%01+(',6&+%6&'(">+(#%A&("(7".&O(',6&+%6&'(#%A&("(<")+%>#&O("4*(',6&+%6&'(#%A&(
/,+1&)(
2
P".&Q(',6&+1%40(/%0R,'>%##"+%40
2
D")+%>#&Q("(/8##&+
2
S1,)+&)(7".&#&40+1O(<1,+,4(1"'(6,)&(&4&)05
○
@,40&)(7".&#&40+1O(<1,+,4(1"'(#&''(&4&)05
○
D1,+,4(&4&)05(*&<&4*'(,4(+1&(7".&#&40+1
2
D")+%>#&T#%A&(U(<1,+,4
2
I$V(L5*),0&4("+,6(T1%01#5('%6<#%-%&*(*&<%>+%,4
2
J4#5(>&)+"%4("+,6%>(W,)/%+'W(")&(<&)6%++&*
2
=#,'&'+(,)/%+(U(0),84*('+"+&
2
H&X8%)&(&4&)05(+,(<8##(-8)+1&)("7"5(-),6(<),+,4
○
N%'>)&+&("'<&>+(U(*%'>)&+&(%'(5,8)&(&%+1&)(%4(+1&(>#,'&'(,)/%+(,)(6,)(*%'+"4+(
,)/%+O(/8+(>"44,+(/&(/&+7&&4?
○
Y,)&(*%'+"4+(,)/%+(U(&$>%+&*('+"+&
2
ZJ
○
E'(%+('%6%#")(+,(',#")('5'+&6(,)/%+'[(
2
\8"4+86(6%>),T,)/%+"!"O(4,+(W>#"''%>"#W(6">),T,)/%+'
2
\G3ZFGY(Z3FGHI(JK(Y3FFIH(](H3NE3FEJZ
D1,+,4(&$>%+&'(&#&>+),4(-),6(,4&(<&)6%++&*('+"+&(+,("(1%01&)(,4&O(/8+(,4#5(%-(%+(
1"'(<&)>%'#(+1&()%01+(&4&)05(^P".&#&40+1_
2
I#&>+),4(-),6(,)/%+"#(BO(6,.&'(+,(,)/%+"#(`(/5("/',)/%40(+1&(<1,+,4(^7%+1(+1&(
<)&>%'&(&4&)05_(%4(71%>1(+1&(<1,+,4(7%##(*%''"<<&")("4*(&4*(8<(%4(+1&(&#&>+),4
2
I$>%+&*(&#&>+),4(%'(#$"%&'!( "4*(',,4(+)"4'%+%,4'(/">A(+,("(#,7&)('+"+&O()&*+&%+$,
<1,+,4(>"))5%40(<)&>%'&(&4&)05(*%--&)&4>&
2
\G3ZFGY(@I3DS
S%4>&(+1&(,)"40&(<1,+,4(%'(4,+(4,+(<)&'&4+O(+1&(&#&>+),4(7%##(0,(/">A(+,(%+'(
0),84*(#&.&#("4*(+1&(&4&)05(7%##('>"++&)
○
E-(+1&(&#&>+),4(%'(,)"40&O(,4#5(,)"40&(<1,+,4(7%##(0%.&(%+(&4&)052
aEH=LLJKKbS(W@3PSW(NGI(FJ(\G3ZFGY(Z3FGHI(Y3FFIH(3ZN(JK(@E!LF
S<&>+)86(cB(7"'(,/+"%4&*(7%+1("(+&#&'>,<&(,4(&")+1b'('8)-">&
○
S<&>+)86(cd(7"'(,/+"%4&*(8'%40("(+&#&'>,<&(%4("4(,)/%+(-")("/,.&(+1&(
&")+1b'("+6,'<1&)&
○
3(/>("-+&)(#%01+(<"''&'(+1),801(&")+1b'("+6,'<1&)&
!
P1%>1(,-(+1&'&(%'('<&>+)86(cB(
○
E6"0%4&(+1"+(+1&('<&>+)86(,-(+1&('84(7"'(6&"'8)&*(+7%&>O(84*&)(*%--&)&4+(
>,4*%+%,4'
2
MHI3aJGF(\GISFEJZ
N%'+"4>&[(2
@86%4,'%+5[2
F&6<&)"+8)&[2
H"*%8'[2
Y"''([2
@%-&+%6&([2
Y,'+('+")'(&$1%/%+("(+%01+(>,))&#"+%,4(%4(+1&%)(<),<&)+%&'2
-./0123456789:1;.315;475
G'%40(+7,(*%--&)&4+("40#&'(+,(#,,A("+(,4&(<,%4+
○
F)%"408#"+%,42
&5&2
d(*%--&)&4+(.%&7'(")&(4&>&''")52
F1&(*%--&)&4>&(/&+7&&4(+7,(.%&7'(#,,A%40(%4+,(,4&(+1%40
○
L,7("'+),4,6&)'(8'&*(+,(6&"'8)&(+1&(*%'+"4>&(
○
S+&##")(<")"##"$2
P1%>1(*&-%4&'("(*%'+"4>&(,-(<1=>&)"(?=^<")"##"$('&>_(((((
○
@&)&!!&A1&$,!(1+"1<= -,)(,/e&>+("+("(*+"%&$?(1BC1D/E01!+,F%1G(&)"2
N%'+"4>&(^<>_(U(B(R(<")"##"$^W_2
=#,'&'+('+")O(D),$%6"(=&4+"8)%Q(<")"##"$("40#&U(fV:gW2
NESF3Z=I
N%'+"4>&(U(B(R(fV:g(U(BVCd(<>
U(BVCd($(CVdg(U(`Vd9(#%01+(5&")'
@86%4,'%+5(U(&4&)05(&6%++&*(<&)('&>,4*2
I$V(gf(7"++(#%01+(/8#/2
J/.%,8'#5(#&''(/)%01+&)(%-(%+'(-")+1&)("7"5
○
3<<")&4+(/)%01+4&''("#',(*&<&4*'(,4(+1&(*%'+"4>&2
E4.&)'&('X8")&(#"72
@GYEZJSEFh(iS(3DD3HIZF(MHE!LFZISS
3<<")&4+(/)%01+4&''U(#86%4,'%+5(R(*%'+"4>&jd2
E44&)('X8")&(^B$B_k(,8+&)('X8")&(^`$`_(2
K")+1&)(+1&(+1%40(%'O(+1&(TTT2
3<<")&4+(/)%01+4&''(U(6&"'8)&(/5(W#,,A%40W("+(+1&('+")(^I"'5_2
N%'+"4>&(U(*&+&)6%4&(-),6(<")"##"$(,)(,+1&)(%4*%)&>+(6&+1,*'(^1")*_2
F1&4Q(*&*8>&('+")b'(#86%4,'%+52
EZiIHSI(S\G3HI(@3P(KJH(3DD3HIZF(MHE!LFZISS
N,4l+(4&&*(+,(A4,7(+1&(*%'+"4>&O(JZ@h(=J@JGH2
G'&(+1&(/#">A(/,*5('<&>+)862
S%6<#&'+(&'+%6"+&'(8'&(d(-%#+&)'Q(/#8&("4*(!)&&4(^.%'8"#_2
FIYDIH3FGHI(KHJY(=J@JGH
H()G )")&(*%)&>+(6&"'8)&6&4+2
Z&.&)(0&+("(<%4<,%4+(,-('+")(>8m(%+'("#7"5'(/#8))5
○
S+")'(")&(',(-")("7"5O(5,8(>"44,+('&&(4,)(6&"'8)&(+1&('%m&2
I''&4+%"##5("##('+")('%m&'(")&(*&*8>&*(-),6(+1&()"*%"+%,4(#"7'2
SF3H(SEnIS
@86%4,'%+5(U(")&"(o(+&6<&)"+8)&j`2
@86%4,'%+5(U(-),6("<<")&4+(/)%01+4&''(^I"'5_("4*(*%'+"4>&(^1")*_2
F&6&<&)"+8)&(U(-),6(>,#,8)(^I"'5_2
F1&)&/5O(%4-&))%40(+1&()"*%8'
○
3)&"(U()"*%8'jd(^`(<%o_2
FJ(!IF(SEnI(KHJY(H3NE3FEJZ(@3PS
S8<&)T0%"4+'Q(BffTBfff(o('842
N7")-'Q(p(Bf(o('842
!%"4+'Q(BfTBff(o('842
SF3H(SD3Z(IZJHYJGS(SEnI(H3Z!I
=,4'%*&)(d('+")(,-(+1&('"6&(+&6&<&)"+8)&V(S+")(M(1"'(+7%>&(*%"6&+&)(,-('+")(3O(
/8+(%'("+(+7%>&(+1&(*%'+"4>&
2
3
○
M
○
F1&5(1".&(+1&('"6&("<<")&4+(/)%01+4&''
○
Z,+(&4,801(%4-,)6"+%,4(%'(0%.&4
○
P1%>1('+")'(&>>(&)" +,(/&(/)%01+&)[2
3<<")&4+(/)%01+4&''(U(#86%4,'%+5(R(*%'+"4>&jd2
@86%4,'%+5(U()"*%8'jd(o(+&6&<&)"+8)&j`2
MHI3aJGF(\GISFEJZ
WEEK$8$LECTURE$1
F8&'*"5O( K&/)8")5(dfO(dfBq
dQd9(DY
