Quantum Mechanics: A Paradigms Approach - Solutions Manual [1 ed.]

Solutions Manual for David H. Mcintyres' "Quantum Mechanics: A Paradigms Approach"

487 48 82MB

English Pages 398 Year 2008

Report DMCA / Copyright

DOWNLOAD PDF FILE

Recommend Papers

Quantum Mechanics: A Paradigms Approach - Solutions Manual [1 ed.]

  • 0 0 0
  • Like this paper and download? You can publish your own PDF file online for free in a few minutes! Sign Up
File loading please wait...
Citation preview

!"#$%$&'()*+',-$ !"!"#$%#

!! ! " " " # " #

#

&'#(')*$+,-./#,(0)'123.#$(#'4.)$++#3'*5+.6#*2+0,5+,3$0,4.#7$30')#$(1#8'+4.#7')#09,8#7$30')# :;#,*5'8,()'9# !" # -&25$5!:!)!'8# $"9# )+'# ',-'&!('")$:#&'83:)8#%!?'8# P! ! "

!

"

# $

#

"

! !!

"

# "

# ! ! "$ #!

! "## "

"##

! ""## "

# "

## ! " $## ! " $ " ## ! # ! " ##

%&' # " " #" !!!$!!!# "

"% !

# $

##

$

"

"

# "

## ! " $ ##

$ ## ! %&'#$ " # "

"

# $

#

!!!$%!!! $!%

'#)+'#3"4"2*"#8)$)'#!8#

!! !

#

# $

" #

! #"# " "#

! "#""#

!!!$%!!! -%! !!!$!!!# "

# " "!

$ " ## " "# $ $ " ## ! %&' #$ " ()(*+ # "

# "

"#

"

# "

$% !

$

" $!"

# ! " !% #$ ! " &!% ! $ " $ # # !

*+!>+#-&293>'8#)+'#-&25$5!:!)!'8# P! " ! ! !

"

" !

# "

P# " # ! !

"

" #

# "

# P! # " P# # "

!"##"#

%$#

! !!

"

"

#

# !!

# ! !! # ! !!

" $!"

" $!"

$" # $ " # ! !! # ! !! #

"

# "

"

# "

"

# "

# ! ! #$

# "

"

# "

# ! # #$

# "

%

" $!"

" $!"

$ # $ #

"

"

#

"

# "

## ! %&' $ "

"

# "

## # %&' $!" $ " $!

$" !

# $

#&#'%

!"#$%$&'()*+',-$ P! ! "

"

!

! !!

"

# "

# ! "" " $

# "

"

!

" !!

"

# "

# ! !" " $

# "

! P" ! "

# # ! !# ! !#

$ " $

" $!#

"

" $!#

"

"

"

# "

## ! %&' $!# $ " #" ## "

! "

"

# "

## " %&' $!# $ " #" ## !

! "

$ " ()(*+ ! $ " (),!!

"#!$%&''('#)!*")+!)+'!',-'&"('#).! /"01!!23&!4#5#3*#!#4(6'&!78!)+'!('$94&':!-&36$6";")"'9!$&'! !

P! "

! "

P! ! "

# $

P! " " %&'$(

P! "

( "

P! ! "

! $

P! " " %&#!#

!

#CD>?EF5#4)"4#$%&# !" #&'(&)!$/$&!#')#$%&# !" #:#,!!!I!JK!7!"!I!6L!7!MML!!&*!,##!&'-&!&'#!($)$*+$!,&-&#!.,! !

!! !

" #

" " " ! "" # !

$ "$# ! $ % % ! $ % ! $ "$# ! $ % % ! & $ % ! # ! # !

!

!"##"#

%

%$$&$'%

!"#$%$&'()*+',-$ !"!#"$ $ %&'$ ()*+,#$ *+-'./'.01'-'.$ &23$ 2+$ !! $ 45$ 3'6*7'8$ 2+$ !! $ 3'6'*7'8$ 2+3$ 2+$ !! $ 45$ 3'6*7'"$$%&'$ !! $'*9'+(-2-'($2.'$ ! " # " !! "$$%&'$ !! $'*9'+(-2-'($2.'$ ! ! ! ! " # " !! " " " ! ! # !! ! ! !! "$ " " ! ! ! !! ! ! ! ! # " !! " " "

!!! $

:'-$ ! ! $ ;'$ -&'$ '($?*-&$!!! ! "! 8$(0$-&'$(-2-'$ ! ! $*($

! ! ! ! "$

$

%&'$ ('70+3$ 45$ 3'6*7'$ -.2+(1*-($ )2.-*7>'($ *+$ #8$ !8$ 0.$ @$ 0/$ -&'$ !! $ '*9'+(-2-'($ ! ! " # ! " !! ! "$$%0$/*+3$ ! ! 8$?'$=('$-&'$).0A'7-*0+$)0(-=>2-'B$

!! !

$

!" ! "

$

! " !" ! "

?&'.'$"+$*($-&'$).0A'7-*0+$0)'.2-0.$0+-0$-&'$1'2(=.'3$(-2-'("$$C0.$'D21)>'8$*/$-&'$('70+3$ 45$3'6*7'$-.2+(1*-($)2.-*7>'($?*-&$!!! ! "! 8$?'$9'-$ $

!! !

!"" ! "

! " !"" ! "

!

"

" !! "

" "

" "

" !! "

" "

! " "$

2($'D)'7-'3"$$E+$12-.*D$+0-2-*0+8$-&'$ !! $'*9'+(-2-'($2.'$ ! !" $ ! ! " & # # $ ! ! ! # ! " & ########## $ ! ! # $ # !" & # '! " " % " ! 2+3$-&'$).0A'7-*0+$0)'.2-0.($2.'$

!"##"#

%

%$! !" $ # & & ########## '! ! ! # '! " # !" & % "

$ & &$ & %

$&$'%

!"#$%$&'()*+',-$

!!" ! !

!

!$ " ! $

! # ! !# # "

" !! "

" !! "

!'!" ! '!

! # $ !# # "

" !! "

! ! !

$ & & & %

" " " !

" $ & & & %

"

$ '!

! # '! ! # # "

" !

" "

!

"

"

"

'! !

!

!

$ & & & %

!

'!

"

#

"

'!

$

"

"

!

"

! # !# # "

#

"

!

"

! !

!

#

!

" " !

!

#

!

"

#

"

! '!

#

$ & & & %

$ & $ & ! & " %

'!

"

'!

#

" "

!

" "

!

#

" " !

" "

! !" $ !# $ $ # #" '! " $ ! # !# # "

!

" "

'!

#

!

! '!

"

" "

#

" "

!

#

$ & & & %

! "#$! %&'()(*+*,-! '.! /$)01&*23! )! &$01+,! ).,$&! ,#$! ,#*&4! 56! 4$7*8$! *0! ! ! ! ! ! " ! ;)2,!,'!8)+81+),$!,#$!,#&$$!%&'()(*+*,*$0!

9! ! :$!

"

P! ! ! ! "

"

P# ! # ! "

!

!

! "

P"! ! "! ! "

.'&!)++!%'00*(+$!!8)0$0!'.!?!($)/@!A!($)/0@!'&!B!($)/0!.&'/!56A9! !:#$2!,#$!0$8'24!56!4$7*8$!,&)20/*,0!%)&,*8+$0!;*,#!!!! ! ""! !'2+-C!

!! !

!"" ! "

! " !"" ! "

" $ !"" " ! $ $ #

" "

" !"" " !

!!

"

"

#

" !"" " "

! ! "

! ! "

!

"

#

!"" "

!

"

!

! ! "

! !

" $ " $ $ $ $ #

" " $ ! " # $$ #

"

#

! ! "

#

# "

#

"

%" % " '$ " ' $ '$ $ ' !$ '# $ & $ # &

#

"

! ! "

% " ' $ ' !$ ' $ & #

#

#

" " "

! ! !

% ' ' !" # ' &

" "

#

! ! "

#

% ' ' ' & !

% ' ' ' &

! ;#*8#!*0! ! ! !)0!$D%$8,$49!!"#$!,#&$$!%&'()(*+*,*$0!)&$!

!"##"#

%

%$$&$'%

!"#$%$&'()*+',-$

P! ! ! ! "

!

P# ! # ! "

"

!

"

P(! ! (! ! "

!

"

" " !

"

" $ ! # # $ $ #

! "

#

! " ! "

" $ # ! # $ $ #

#

"

" $ # # ! $ $ #

#

% ' ! ' ! $ ' & "

% ' ! ' ! " ' &

! " ! " ! "

!

"

! " ! " ! "

% ' ! ' ! $ ' &

"##$! %&'(! )&'! *'+,(-! ./! -'0#+'! )12(*3#)*! 421)#+5'*! 6#)&! !!! ! "! 7! ! ! ! " ! ! 2(-! )&'! )&1''!41,828#5#)#'*!21'! "

P! ! ! ! "

"

!

"

" ! % $ " ' ! ! # # $ # ' ! " $ ! ' # " &

"

" ! % $ " ' # ! # $ # ' !# $ ! ' # " &

#

"

!

P# ! # ! "

"

!

#

!

"

P(! ! (! ! "

"

!

"

" ! % $ " ' ! # # ! $ # ' ! " $ ! ' " & #

#

"###$!%&'(!)&'!*'+,(-!./!-'0#+'!)12(*3#)*!421)#+5'*!6#)&! !!! ! !"! 7! ! ! ! "" ! !2(-!)&'! )&1''!41,828#5#)#'*!21'!

!"##"#

%

%$$&$!%

!"#$%$&'()*+',-$

P! ! ! ! "

!

P# ! # ! "

"

!

"

P"! ! "! ! "

!

"

"

"

# ! " % ! ! # # % " " % ! $ "

& ( ! ( ! $ ( '

"

# ! " % ! # ! # % " " % ! $ "

& ( ! ( ! " ( '

!

#

"

#

"

# ! " % ! # # ! % " " % ! $ "

#

!

"

& ( ! ( ! $ ( '

"#$%! &'()! *'(! +(,-).! /0! .($#,(! *12)+3#*+! 421*#,5(+! 6#*'! !!! ! "! ! !"#! !!! ! "! ! #)! 2! ,-'(1()*!7(23!

!! !

# !"" " !# " $ ! " ! " # !"" " !# " $ ! "

!! ! ! 8'(!*'1((!41-727#5#*#(+!21(!

!"##"#

%$""

!

# "$ % # !"" " !# " $ " ! % " ! ! % "$ $ " # !"" " !# " $ " !

# !"" " !# " $ " " # !"" " !# " $ "

&# " & # " ! % ( # (% # ( !% # % ( " ( %$ "" ! ! '$ # '

# "! # !# " " ! % # # % %$ "" ! #

!

!

#

& # "! & # %$ ( % ( % ( "% # ( !% " ! ! ( % "" ! ( % "" $ ' $ ' $

# %$ % " # # % "! ! % "" $ $

# %$ " % % "! ! %$% $ "" $

& ( ( ('

$

& # % ! ( % ( !% " & ( % ' %$ "" ! %

%

& ( (! ( '

& ( (!% $ ( '

& ( ( ( ('

$&$'%

!"#$%$&'()*+',-$

"

P! ! ! ! "

!

!

"

P# ! # ! "

P"! ! "! ! "

"

& ( $ ( ! & ( ('

"

# $ " % # ! # % ! % % %$ "! " $

& ( ! ( ! % ( ('

!

"

"

# $ " % ! # # % ! % % %$ "! " $

#

#

"

!

# $ " % # # ! % ! % % %$ "! " $

#

"

!

"

& ( ! ( ! !" ( ('

"#$! %&'(! )&'! *'+,(-! ./! -'#0+'! )12(*30)*! 421)0+5'*! 60)&! !!! ! "! ! !"#! !!! ! !"! ! 0(! 2! +,&'1'()!7'23!

!! !

!"""

!

# !"" " !""" $ ! " ! " # !"" " !""" $ ! "

# % " !% % $

" ""

#

""

"

! !

"

#

! !

""

!

! !

# "# % # !"" " !""" $ " ! % " ! ! % "# $ " # !"" " !""" $ " !

!!

#

" ""

#

! !

"

# !"" " !""" $ " " # !"" " !""" $ "

!

#

&# & "# & # (% " ( % ( ( % $ ( ! % "" ! ! ( ($ $ ' % ( "# ' $ '

& # & # "! "# ( % ( % ( " % "" ! ! ( ! % $ ( % ( % "! "# ' $ ' $

& ( ( ! ('

# "! & ( % " $ $ % $ ( !" ! %$ " ! ('

$

# "! & # " ! & ( " % ( % ! $ ( !% $ ( % "! %$ " ! (' % " ! ( ' $

! 8&'!)&1''!41,727050)0'*!21'!

!"##"#

%

%$$&$'%

!"#$%$&'()*+',-$ "

P! ! ! ! "

"

!

"

" ! " % ' $ ! ! # # $ # ' ! " $ ! " ' & #

"

" ! " % ' $ # ! # $ # ' !# $ ! " ' & #

#

"

!

P# ! # ! "

"

!

#

!

"

"

P(! ! (! ! "

!

"

" ! " % ' $ ! # # ! $ # ' ! " $ ! " ' & #

#

"#$%! &'()! *'(! +(,-).! /0! .(#$,(! *12)+3$*+! 421*$,5(+! 6$*'! !!! ! "! ! !"#! !!! ! !"! ! $)! 2! ,-'(1()*!7(23!

!! !

# !" " " !"#" $ ! # ! # # !" " " !"#" $ ! #

!

# !" " " !"#" $ # # # !" " " !"#" $ #

& # #$ %$ # #! & # ( % ( % % # !" " " !"#" $ # ! % " ( " % "# ! ! ( ! % "# ! ! ( % "# $ %$ "# ! (' % #$ ' $ $ !

# # !" " " !"#" $ # !

!! !

# %$ # % % "# ! ! %$% $ "# $

! 8'(!*'1((!41-727$5$*$(+!21(!

!"##"#

%$#

# %$ % # " " % "# ! ! % "# $ $

$

& # % ! ( % ( ! % "# & ( % ' %$ "# ! %

%

& ( (!% $ ( '

& ( ( ( ' !

& ( ( ( ('

$&$'%

!"#$%$&'()*+',-$

P! ! ! ! "

P# ! # ! "

!

"

!

"

P"! ! "! ! "

!

"

"

"

# $ " % ! # # % "! % % %$ "! " $

& ( $ ( ! & ( ('

"

# $ " % # ! # % "! % % %$ "! " $

& ( ! ( ! % ( ('

!

#

#

"

# $ " % # # ! % "! % % %$ "! " $

#

"

!

"

& ( ! ( ! !" ( ('

"#$$%! &'()! *'(! +(,-).! /0! .(#$,(! *12)+3$*+! 421*$,5(+! 6$*'! !!! ! "! 7! !!! ! "! 7! !"#! !!! ! !"! !$)!2!,-'(1()*!8(239!

!! !

!"""

!

# !"" " !# " " !""" $ ! " ! " # !"" " !# " " !""" $ ! "

# "$ % " ! % "" ! ! % %$ "$

"" ! ! "! "" ! !

# "$ % # !"" " !# " " !""" $ " ! % " ! ! % "$ $ " # !"" " !# " " !""" $ " !

!! !

#

!

# !"" " !# " " !""" $ " " # !"" " !# " " !""" $ "

& & # "$ (# " & % ( "" ! ! ( % # ( ! % "" ! ! ( (% # ( % ( ' $ "$ (' $ "$ ' "$

& # "! & # & # "$ & ( % ( % " ( % ( ( " % # ( " % "" ! ! ( ! % # ( ! ( % "" ! ( % ( $ # ' "$ ' $ ' $ '

# " & " # # % # ( !" % ( $ # '

$

# " & !% # ( % ( $ # '

6'$,'!$+! ! !2+!(:4(,*(.9!!;'(!*'1((!41-828$5$*$(+!21(!

!"##"#

%

%$$&'(%

!"#$%$&'()*+',-$ "

"

P! ! ! ! "

!

"

" ! % ! # # $ # ' !! $ ' # # &

"

" # % ! # # $ ! ' !# ! $ ' # # &

!

" # % ! # # $ # ' !# $ ' # ! &

#

"

"

P# ! # ! "

!

!

#

"

P(! ! (! ! "

"

"

#

"#$!%&'&()*$+!,$-&(*-!),$!

!!

P"

P#

P""

"

!

" $

" !

" $

#

!

" !

#

" !

" $

" !

" $

& $

" '

" "!

""

!

!

"!% #

!

" ! % ""

!

" !

#

" !

# ! % ""

!

& $

" '

" "!

"

#

#

" ! % # ! % ""

!

!

! ./..!!)0!"#$!1,23)34(4*5!26!'$)-&,478!-147!&1!)*!*#$!.7+!9*$,7:;$,()%#!)7)(5,+!9*$,7:;$,()%#!)7)(5%(7+.!87#/9'!()#!#7-#.;%/&#'!

!

# !! ! " " " % " ! " !# % % " !# ! " $

$ ! " & #!!! ! ! % ! # " % & # % " !

$ &! & %

& ( # # ( ! "!!!)!!" !! ! " # " ! !# ! "! ! ( '

"

#

!)!! " ! !! $!# $ !!# %.9!()#!#7-#.;#$(+,'!

!"##"#

%

%$$&'

%$ !"#$%$&'()*+',-$ ! !! " # # " " # " ! # "

!

" $! " & !# & # # # " &% " $

!!" ! !!" $ ! " $ & ! ! # # & !!!'!!! ! $ ! ! # !!!'!!!$ ! # ! " # ! ! & # & $ % " % !# # ! !!$

!

! ! $ " " # " $ ! !!!!'!!! " ! !!!!'!!!" ! !$ # ! "$ $ ! "!!!'!!! !! ! ! ! # " & # & " % " ! #

! !! " # # " " # " ! # "

!

!

#

" $! " & !# & # # # " &% " $

#

!!" ! !#" $ ! " $ & ! ! # # & !!!'!!! ! $ ! ! # !!!'!!!" ! "$!!$ ! # # # # & # & $ % " % !# # ! !# $

! " $ # ! & # # !# !# ! !!!'!!! # " $ ! !!!'!!!" ! "$ # ! !# $ $ ! !# !!'!!! !# ! !# # # " % $ ! # # & # ! & " # %

! ! !! " # # " " # " ! # "

! !

#

" $! " & !# & # # # " &% " $

!

!!" ! '!#" $ ! " $ & ! '! # # & !!!(!!! ! $ ! '! # !!!(!!!" ! "$!!$ ! '# # # # & # & % " $ % !# # ! '!# $

! " # ! # # '!# '!# ! !!!(!! # " $ ! !!!(!!" ! "$ # ! !# $ $ ! ' !# !!(!! '!# ! !# # # " % $ ! # # # ' ! # "

"#! ! $%! !!&'! ()*'+,)-.!/0)!12''&34)! ,)'+4/'!*,)!/0)! *4425)-!)&6)78*4+)'! !! "!# " !!# 9! ! $%! /0)! &7&/&*4!'/*/)!&'! ! ! ! ! .!/0)7!/0)!1,23*3&4&/&)'!*,)!

!

P!! ! !! ! "

"

! !"

P!" ! !" ! "

"

!

P"!" ! "!" ! "

"

"

!#

# " " $$ " ! ! # " " $$ " ! "

! "

! "

! "

"

! ! "

$%!"!&'!/0)7!()*'+,)-.!/0)!12''&34)!,)'+4/'!*,)!/0)!*4425)-!)&6)78*4+)'! !! " !# " !$ 9!!$%!#:!5*'! /0)! %&,'/! ,)'+4/.! /0)7! /0)! 7)5! '/*/)! &'! !! ! *7-! 50)7! "! &'! ()*'+,)-! /0)! '+3');+)7/! 1,23*3&4&/&)'!*,)!

!"##"#

%

%$$&''%

$ & & & %

!"#$%$&'()*+',-$

!

#" " # $ !$ #" " #$ ! #" " #$ ! "

P!! ! !! ""

"

! !

P!" ! !" ""

"

! "

! "

P!# ! !# ""

"

! #

! "

! "

"

! "

"

!

! "

"#! $!%! &'(! )*+! #,-()! -+(./)0! )*+1! )*+! 1+&! ()')+! ,(! !!! ! '12! &*+1! "! ,(! 3+'(.-+2! )*+! (.4(+5.+1)!6-74'4,/,),+(!'-+!

!

"" ! # # !$ "" ! ## ! "" ! ## !

P!! ! !! !""

"

! !

P!" ! !" !""

"

! "

! "

P!# ! !# !""

"

! #

! "

! "

"

"

"

! "

!

! "

28! ! "#! )&7! 76+-')7-(! 27! 17)! 9733.)+0! )*+1! )*+! 97--+(6712,1:! 74(+-;'4/+(! 9'117)! 4+! 3+'(.-+2!(,3./)'1+7.(/'-)!?'8!)+//(!.(!)*')!)*+!76+-')7-(!"!'12!#!17)!9733.)+=!!>'-)! ?98!)+//(!.(!)*')!3+'(.-+3+1)!#!@2,().-4(@!)*+!3+'(.-+3+1)!7#!"!(7!)*+!)&7!3+'(.-+3+1)(! '-+!17)!9736'),4/+!?9'117)!4+!3'2+!(,3./)'1+7.(/$54*$ *8:*/,0&0*,$ &.*$ ! ! $ &/9$ 0)*$ */*.:>$ *8:*/?&3-*,$ &.*$ !! !! ! " $@80)$ ! ! ! !"! #! "$$$A*$,0&.0$0)*$1321B$2?*.$72.$0)8,$/*@$08+*$*?23-082/"$$()*$ 8/808&3$,0&0*$?*[email protected]*/$8/$0)8,$/*@$*/*.:>$5&,8,$8,$

$

! !!" #

" #

#

!

#

" #

!""# !#

" #

$ !$!

#

" #

!$"# !#

!""# !# # ! $ $ $ !$!

!!

""# ! # #

" #

!

" # $ $ ! $ $ !$! " $ ! $ "

#

!$"# !# # ! $ $ "

"

!

"$

$

!$!

!

" #

!!""!!$"# !# # ! $ $ !$ "# ! !""# !# # !!$!"!$"# !#

"!

" #

!""# !#

#

$ !$!

!""# !# # ! $ " $ !$! #

""

" #

" #

!$"# !#

#

"

!$"# !# # ! $ " "

$

$ ()*$08+*$*?23-082/$27$0)8,$,0&0*$8,$

! !! " #

! "

#

! "

#

! "

$

!" !" !"

"## # ! " "## # ! " "## # !

" !"" !!!$!#"

!!"#!"$## #! " ! ""#$$ % !!"#!"$## #!

"## # ! "

"

"

!"# $ & !$ !"

!

$ & !$ !"

$## # !

""

! ()*$4.25&58380>$27$+*&,-.8/:$ !" $02$5*$!! ! ! $8,$ $

P! ! "

!

! ! #" $

!

"

!

!

## " !

! !! "

$ & !$ !" ! ""## #! " !!$!#"$## #! "## # ! "

"

!!$!#"$## #!

"" ""

"

"#$" % !

"

$## # ! "

&

" &$

&

$

#

$

#"$# #" !"$ ! % !! "! "!!!$#!$# #" "

%

$

!

$

C,8/:$+&0.8'61,(:7!+"5!$-*)1.!5&-"1?*

^ 42 n’

^n

?

Y

?

*

0.!*5!&)(+!5!$-*&-*-.!*8"+)-*&$&'3@!+*12''&7)!)*-.!*)-&-!*-2**

! ! ! " # $ ! # "#$ "% $ $ "## $&' "% $ *

*

0.!*&$#'!)*82+*-.!*8"+)-*&$&'3@!+*&+!* ! ! "! *&$6* ! ! "! ;*)2*-.!*"$"-"&'*)-&-!*")*

! !!" # $ ! #

*

$ $ "#" $

" #

# *

" #

A$* -.!* 8"!'6* &'"#$!6* &-* BC!* "$* -.!* !"D7'&$!;* -.!* !$!+#3* !"#!$)-&-!)* &+!* ! !! " !"# "$! ! ! #%& "$! # * &$6* ! !" ! !"# #$" " ! %&! #$" ! * ,"-.* " ! ! # ! * &$6* -.!* !$!+#3* !"#!$%&'(!)* &+!* !! !! ! " * ,"-.* ! ! ! !"! #! /* * 0.!* "$"-"&'* )-&-!* %!1-2+* ,+"--!$* "$* -.!* !$!+#3*4&)")*")* *

! ! ! " # $ ! # ! $ !" ! !" $ !$! # !" ! !" # " $ ! # ! !" $ $

!"##"#

%$#

!

" #

$%& $#" $

" #

"

"#% ' &() $#" $

!$! !"

%

!

" #

&() $#" #

" #

!

"$

!"

!$!

"

!

!"

"#% ' $%& $#" #

#$

!

"#

!"

*

!"

&'(%

!"#$%$&'()*+',-$ !"#$%&'#$#()*(#+$,%-%#$&,$ $

! #!

! !! " # !

! "

#$% #"" $

! "

! "

#$% $

! "

#" "

" ""

"#$ & %'( #"" "%#$$ ! "

#$ &

%'(

#" "

!

%#& ) ! "

$ $

%" %"

! !$!!

!$!

! "

%'( #"" %

! "

! "

%'( %

! "

#" "

" ""

"#$ & #$% #"" "%#$% ! "

#$ &

#

%$#" "

!

$#& ) ! "

%

%"

%

%"

$

!"#$./)0-0&*&%1$)2$'#-,3/&45$ !" $%)$0#$!! ! ! $&,$

P! ! "

"

$

"

! "

#!

#" "

"

"

$

#

"$ &

#" "

$

$

%'( #"" # #$% #"" ! " %'( #"" $ #!"% )$ " !

"$ &

$

#$% #"" # %'( #"" ! " #$% #"" $ #!"% )$

! &

!""#"$ & %'( #"" #$% #"" %'(

#! ! "# $ #

!"% ) $ "

! &

!""#"$ & #

%$% )$ "

! &

#

" !! "

!

!!" "

!"

! "

% )$ "

#

$

$

! ! ! "#"$ & %'( # " %'(

$# #

%$% )$ "

"

% )$ "

! " %'( " !! "

% )$ "

$!#

! "

% )$ "

!

!"

"

" !! "

$#! ! #$%# " $ %'(

% )$ "

!

"

% )$ "

! "

% )$ "

% )$ "

"

% )$ "

673-/&45$-4+$,&'.*&21&45$5&(#,$

$

P! ! "

! "

"

! #

"

! #

%# # ! $ $ $ %&' %$ ! %$ !

$

"

% )$ "

% )$ "

! *

"

!

# $ " #$% ! # ! " $ %'(# " %'( %#! ! " $ #$% ! ##$%# " ! # " ! !$%'(# "$%'( & ! !" %! #$% ! ## " ! !$ #$%# " ! %'( # " $ %'( & % )$ "

"

! "#"$ & %'( " #"" #!"% )$ " ! "#"$ & #$% " #"" #!"% )$

! "" ! ! "#"$ & #$% " #"" %'(

#

0 . . . 1 ). +. +* . 2

"

#$% " #"" #!"% )$ " ! %'( " #"" #!"% )$ " ! " %'( #"" #$% #"" %'( "$ &

"

#

$

!"

# #$% ! # ! # %'( ! #

! &

, & #$% # " ) " . ! #$% #"" ! ! #"$ & %'( #"" #!"% )$ " ( + " " #" (' %'( " +* . . & %'( # " . ! " "$ & !"% ) $ " #" #" ! ( .! " %'( " ! " # #$% " # (' ! #$% #"" ./

$ ! (" $

#

$

! # " $ $ ')* $

$ %&' ! (" ! $ %&'$ # ')* ! (" $ %&' ! (" ! ')* ! ("

&

! (" $

! # $ %&'$ # %&'

&

! (" $

')*

! (" $

& $

$ 89:;$$!"#$#&5#4,%-%#,$-4+$#&5#4(-*3#,$)2$!$-/#$ $

!"##"#

%$! ! $ ! & $ ! ! !! " !# $!!!! !! ! % # "!!! ! ! % # #" ! &% $ & &% " !

%

&'#(%

!"#$%$&'()*+',-$ !"#$""%#&'#()$%#&*"#")+"$,"-&'./#'(#!0## ! ! " $ # !!# " ! &% " !

# 1'2#%)3+'$34)5"0# #

" !" ! ! !!!!!#!!!! " " ! " ! # ! !!!!!#!!!! " ! $! # ! !"

6)$%#&*"#")+"$,"-&'./0# #

! " $ ! ! ! $! " $ ! "! #" # &% !!!!'!!!!# ! " # #" ! ! &% #" # &%

7)"4%)$+# !! "

# !

! "

#"

!

! ""

$!

! "

! ! $ ## # " ! &%

8)9"2)/"# #

! ! ! $! " $ ! " $ ! '! #" ! ! &% #" # &% #" # &% !!!!(!!!# ! '" # !! !

# !

! "

""

!

! ""

#!

!"

$ "#

! "

" ! % #$ # # !! '&

:*"#)$)&)34#/&3&"#)/#

! ! ! " # $! # ! :*"#&);"#",'4,"%#/&3&"#)/## #

" #

"

"!

! ! ! " # !" ! ""#$!! ! $! $ ""#$"! ! $" " " ! :*"#"12'/! /9'1*+5,! # ! ! ! ! " ! !3+/28)! %

! " "# $!%&#' !

%

!

#

"" & $ #

#

!%&# ' !

&# ! & " "# $!%&#'

!

&#

&# ! & " "# $!%&#'

!

&#

#

!

# !# ?./0/! +)! ,5! >12'/! 5:! !! *.1*! @+22! )1*+):3! *.+)! /9'1*+5,A! )5! *./! -/,/012! /,/0-3! )*1*/! )'4/045)+*+5,!85/)!,5*!)1*+):3!*./!/,/0-3!/+-/,>12'/!/9'1*+5,#! ! ! ! ! ! !

!"##"#

%

%$&'#!%

!"#$%$&'()*+',-$ !"#$%%&'(%%)*+%,-./+0,-'-1+%234+.+5,6723,-%+87'23,-0%&!"9:(%'/+% !" ! !" ! !!!" ! " " # $ ! # " " ##!!!!!!!!!!" # " " # $ ! ! "" # % " " !

%

;732*%=+-+/'6%0,6723,-0%

! ! " ! # $ "#!$"!! " ! %##$"!! " #!!!!!!! # " ! # $ #"#!$"!! " ! %##$"!! " %

%

)*+%02'2+%5+12,/%0,6723,-0%?80"%&!"9@(%'-A%&!"9B(%C,/%'/(?%(*(,-5&'%'(/-5#'&%)-%-"(%&5#0#'.%-"(%95&4)4#*#-:%)$%)%+/',-#&'%&+%;#$-)',(%#$% $"&@'%4(*&@)-"(2)-#,)%0#A($%-"(%9*&-$6+$2+-$

#

!!" ! ! !!" " ! " "

$

"

$ ! #!

!"

" ! " !!" "

"

$ ! #%$ " !" "

!

& " !!" " " ( ! ### $ '

=&,$ /$ 5,&*90-$ (-/-+>$ -.+$ ,+(93-$ ?/@+($ (+'(+>$ 6.)3+$ 1&,$ -.+$ (9?$ (-/-+>$ -.+$ ,+(93-$ )($ /?A)29&9($A+0/9(+$)-$)($'&-$03+/,$.&6$ !!" $/0-($&'$ ! 2 >$)1$/-$/33"$ $ !"$(&$ ! $)($'&-$/'$+)2+'(-/-+"$ (A)$$%.+0@$'&,?/3)D/-)&'$

#

$ #

$

! ! " ! " " !"!! " ! " " " ! " " !"!! " ! " " " " ! ! " ! " " ! " ! " " !"!! " ! " " " ! " " !"!! " ! " " " ! " " !"!! " ! " " " " ! ! " " ! " " " !"!! " " ! " " " !"!! " " ! " " " !"!! " " ! " " " " ! ! #!"!!"!!#"#!"!!#"#!"!!!"!$ " !!

! ! !

#

$

!

#

$

!

"

"

$ $

E&$-.+$(-/-+$ ! $)($'&,?/3)D+*"$ $ !"F$$C.+$5,&A/A)3)-G$-./-$&A(+,7+,$!$?+/(9,+($5/,-)03+$#$-&$./7+$(5)'$95$/3&'2$/'$/,A)-,/,G$ *),+0-)&'$)($-.+$(9?$&1$-.+$H&)'-$5,&A/A)3)-)+($&1$&A(+,7+,$!$?+/(9,)'2$5/,-)03+$#$-&$./7+$ (5)'$95$/'*$&A(+,7+,$"$?+/(9,)'2$5/,-)03+$#.2 ',/4,1. .* .2, "?&@#/ &+3 .2&. *:/,';,' # ',1*'3/ & #.2 ',/4,1. .* .2, "?&@#/6 A,. ! ! ! #+ :*.2 1&/,/6 B, -,. P+ !! " #+ !! $ =

#

"%!! "

" = $

$

+ ! $%!! $ + !

$

=

#

"%!! "

+ ! $%!! $ +

$ #

" + $

"

" $ "! "

"

+

$

#" #" #$ #$ '$ ' $ &% &'( !" + !+!(i* !" " )( &% &'( ! $ + !+!(i* ! $ " )( + $ $ $ $

#

$

$

" $ "! "

"

"

+

$

$

$

# # # # " " $# "# ' &'( " (i* $ " (i* " &'( $ = (i* $ & " $ ) % $ ( $ $ $ $ $ $ $

=

C*> 1&%10%&., .2, 4'*:&:#%#.( .2&. *:/,';,' ! ',1*'3/ & #.2 ',/4,1. .* .2, "?&@#/ &+3 .2&. *:/,';,' # ',1*'3/ &