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Page 5:  · E?T=@;dgf/PHBS@=T.Ï(Gr

j3GeÑSJ/PH>.ê 3�7OuS>oP?u=Ge>1Ï BML�<?f;>,f=T=i/P?BQÑS>1@ h @;i�>1ke>ody<HP?BQ@ïE?d h <?<?>1PHGe@/Ñ.d�PHBQEHE(Ev>}dy<HGrBQ@;EtGe@<Hf/>$u=GeE?Ge×/kr> h @;iÙ@;> h P,s� Ý�Ge@»PH>1k h <HGruQ>9J;@/GI<gEHæ�5.W�f/> � h keR#>oP,d�BQ@Q<HP?Ge×/JK<HGrBQ@ÈÝ�EvBQkrG¨id1J/PHuS>}æ&G¨E(d�BQR+Ò h PH>oi�Ï(GI<Hf�<?f/>�Ü%T=R h @»Ý�i h E?f/>}i;æ h @;i!W�f/BQR$EvBQ@»Ý±f/BSPHGrñoBS@\< h kÖEvBQkrG¨ikeGe@/>}æ©EHd h <v<?>oP?Ge@/Ñ!d�PHBQEHE©Ev>}dy<?GeBS@6E1UÖ<Hf/>$Y − BSÒ h d�Gr<FT�ݱi/BM<v<H>oi;æ�U h @;iÙ<?f/>+BSÒ h d�Gr<FT!L�BSPP h i/G h <?GeuS>�GeBS@/Geñ h <?GeBS@¯Ý±i h Evf/^¥iKBS<v<H>oi;æ�5�W�f;>,P?>ok h <?GeuS>,d1BS@\<?PHGr×;JK<?GeBS@;EÀiK>1Òc>1@;iïBS@!<?f;><Hf/> h <HR+BQE?Ò/f/>1PHG¨dOR+BKiK>ok h @;i h PH>¶f/>1PH>,dgf/BQE?>1@l<?B$×c>©<FT=Ò/Ged h k[L�BQP�<?f/>�:=J;@�5

GeR+R+>oiKG h <H>,@/>1GeÑSf=×cBSPHf/B=BKi�BSL�<?f/> � h krR+>1PÀP?>}EvBQ@ h @;d1>oEo5XÜ�T=R h @ïEHd h <v<H>1PHGr@/Ñ+Ge@Û<?f;>u=G¨EvGe×/ke>�ÑQ>�<HEOGr<HE¶d�BS@\<HP?Ge×/JK<HGrBQ@;EÀd1BSkekr>}dy<?GeuS>okrT�L�PHBSR'<?f/>#iKGeE?Òc>1PgEvGeBS@ïÏ(Ge@/Ñ\EtBML h krk�<?f;>Ü%T=R h @�<HP h @;EvGr<?GeBS@6E15¯Ntkr<?f;BSJ/ÑQfÓÏ&> h PH>luQ>1PHT»L h P#L�P?BQR�<?f/>!Ü�T=R h @ÈP?>}EvBQ@ h @;d1>oEoUÜ%T=R h @»EHd h <v<H>1PHGr@/Ñ!iKBQR#Ge@ h <?>oE¶B«uQ>1P h kek�<?f/>+BM<Hf/>1P,EHd h <v<H>1PHGr@/Ñ�BSÒ h d�Gr<FTïEvBQJ/Pgd�>oE¶Ge@<Hf/>!u=GeE?Gr×;kr>Q5Ó:=Gr@6d�>�f/B«Ï�>ouS>oP,<?f;>�J;@/Ò6BQk h P?Geñ1>}i�Y − BSÒ h d�Gr<FTáGeE9<FT=Ò/G¨d h kekeTá<FÏ�B2BSP?^i/>1PgE�BSL�R h ÑQ@/Gr<?J;iK>¶k h PHÑS>1P�<?f h @.<Hf/>�Ü�T=R h @�E?d h <v<H>1PHGr@;Ñ9BQÒ h d1GI<FTQUQ<Hf/>¶Ò6BQk h P?Geñ h <?GeBS@ÑQ>�<gE¶Ev<?PHBS@;ÑSkeT!i/GrkeJK<?>}i»×\T!<Hf/>+J/@/ÒcBSk h PHGrño>oiïY − Ò;f/BM<HBS@;E h @6iïG¨E¶<?f/>oP?>1L�BSPH> h ×cBSJ/<h L h dy<?BQP�BML�f=J/@6iKP?>}ilE?R h kekr>oP�<Hf h @�Gr<tÏ�BQJ/keil×6>©Ï(Gr<?f/BQJK<�<?f/>,Y − BQÒ h d1GI<FTQ5nNÀE&<?f;>R+BKiK>}EF< h @;GeE?BM<HP?BQÒ\T!Ý�keGeR�×!i h P î >o@/Gr@;Ñ\ænÑQ>1BQR#>1<?PHGed h kekrT$iKGekeJK<?>}E&<?f/>¶Ò6BQk h P?Geñ h <?GeBS@.×=Th @/BM<Hf/>1PtL h dy<HBSP(BSL&ê}`/UK<Hf/> h R+Ò/keGI<HJ;iK>,BSL�<Hf/>,d�BQ@\<?Ge@\J;J/R ÒcBSk h PHGrñ h <HGrBQ@�G¨E(BML�BSPgiK>oP`;5rê0� h <O<Hf/>#>�Ô=<?PH>1R+>�keGeR�×�U h @;iïiK>}d�PH> h E?>oEOEF<H>1>oÒ/krT h EÀÏ&>�R+B«uQ> h Ï h T.L�PHBSR <?f;>keGeR�×�BQ@Q<HBÛ<?f;>�iKG¨E î 5ïW�f/>�Ò6BQk h P?Geñ h <?GeBS@ h k¨E?BïEF<HP?BQ@/ÑSkeT2Ge@;d1P?> h E?>oE h E�Ï�>�ÑSB!L�PHBSRkeBS@;ÑS>1P�<HB,Evf;BSP?<?>1P�Ï h uS>okr>o@/ÑM<Hf;E1U�L�BQPn<FÏ&B¶R h Gr@+PH> h E?BS@6E 3XÝvê}æ�W�f/> h @/G¨EvBS<?PHBSÒ=T$Ý�keGrR9×i h P î >1@;Gr@/Ñ=æ9Gr@;d1P?> h E?>oE+Ev<?>1>oÒ/keTÓÏ(Gr<?féiK>od1P?> h E?Gr@;Ñ2Ï h uS>okr>o@/ÑM<Hf�U h @6i Ý�bSæ9<Hf/>ÛP h <?GeB×c>�<FÏ&>1>o@ï<Hf/>$Ü�T=R h @ h @;iÙY − BSÒ h d�Gr<FTÛd�BQ@Q<HP?Ge×/JK<HGrBQ@;EOGr@;d1P?> h E?>oEÀÏ(GI<Hf»iK>}d�PH> h EvGe@/ÑÏ h uS>okr>o@/ÑM<Hf�5

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Page 6:  · E?T=@;dgf/PHBS@=T.Ï(Gr

j3GeÑSJ/PH>&b(3�CD@\<?>o@;EvGr<FTSU�@/BQP?R h krGeñ1>}i¶<?Bt<Hf/>�EvJ/PHPHBSJ/@;i/Gr@/Ñtd1BS@\<?Ge@=J/J/RÞGe@Q<H>1@;E?Gr<FT Ic

Ý�<?BQÒÒ h @/>ok¨æ h @;i+iK>1ÑQP?>o>�BML[krGe@/> h P³ÒcBSk h PHGrñ h <?GeBS@!Ý�:=<?B î >oE Q/I

UQ×6BS<v<?BQRÒ h @/>1k�æyUQP?>}d�BQPHiK>}ih <O<Hf/>+Î h <HGrBQ@ h kn:=BQk h P�7O×;E?>1PHu h <HBSPHT/ìMí©GI<?<tÚ�> hMî Ge@Óê}a��«_.Ï(GI<Hfï<?f;>#E?Ò6>}dy<HP?BQÑSP h Ò/fE?keGI<�Ò h P h kekr>okn<?B h @;i�êo` h PHdoEv>}d#Gr@;E?G¨iK>+<?f/>�EvBQk h P�krGeR�×%5�Ú�BQE?Gr<?GeuS> Q/I

R+> h @6E�krGe@K^> h POÒ6BQk h P?Geñ h <?GeBS@ÛÏ(Gr<?fÛ<Hf/>�>okr>}dy<?PHG¨d,uS>}dy<HBSPtÒ h P h krke>1k%<?Bl<?f/>9krGeR�×�U[@/>oÑ h <?GeuS>�u h keJ/>oER+> h @;E©Òc>1PHÒ6>o@;iKG¨d�J/k h P�Ò6BQk h P?Geñ h <?GeBS@�5+W�f/>$i h E?f/>}iÙuQ>1P?<?G¨d h knkeGe@/>oE©R h P î <Hf/>$P?>}EvBS^@ h @\<tÏ h uQ>1ke>1@/ÑS<?f;E�BML3<?f;>9] h���� í h @;i�YÞkeGe@/>oEo5

f;B«Ï�>ouS>1P%>�Ô/d�>oÒK<?GeBS@;E%L�BSP3uS>oP?T¶EF<HP?BQ@/ÑtkeGr@;>oEo5�CD@�<Hf/>&Ò/P?>}d�>}iKGr@;ÑÀEv>}dy<HGrBQ@,Ï�>Xf h uS>XE?>1>o@f;B«ÏÕ<?f/>OÏ(Gr@/Ñ\EXBSL[<?f/>©Ü�T=R h @$f=TKiKPHBSÑS>o@$krGe@/>}EXPH>1R h [email protected]?GrÑQ@/G$�cd h @\<XGe@;iK> �;@/Gr<?>okrT#L h PL�PHBSR'<?f;>1GePÀPH>oE?Ò6>}dy<?GeuS>�PH>oE?BS@ h @;d1>oE h @;i!Ò;P?B«u=G¨iK>©<?f/>9iKBSR+Ge@ h <HGr@/Ñ.d1BS@\<?PHGe×/JK<?GeBS@�<HB<Hf/>&Ò6BQk h P?Geñ h <?GeBS@�BMLK<Hf/>�d�BS@\<HGr@=J/J/R!53Nt@/BS<?f/>oP�Ev<?J;@/@/Ge@/ÑÀ>1Ô h R+Ò/kr>�GeE3E?>1>1@�Gr@#j�GeÑ;5«bKUÏ(f;GedgfïE?f/B«ÏtE�<Hf/>,ÒcBSk h PHGrñ h <?GeBS@!E?GrÑQ@ h <HJ/P?>©<Hf h <OGeE(Ò;P?BKiKJ;d1>oi!×=T�EHd h <v<H>1PHGr@/Ñ$Ge@!<?f;>] h���� í h @;i+YÕkrGe@/>�<?P h @6EvGr<?GeBS@;E�B«uQ>1P h P h @/ÑQ>&BSL h ×6BQJK<�bM`Q`��,5MW�f/G¨EnBQkei#PH>od�BQPHi/Gr@/Ñ6UÏ(f;Gedgf�Ï h E�iKBS@/>l× h d î Gr@�ê}a��M_»Ý�:\<?>o@KA;B�ê}aS_Q`QæyU3BSÒc>1@;>oiáBSJ;P�>1TQ>oE©L�BQP,<Hf/>.ÑSPH> h <d1BSR+Ò/ke>�ÔKGr<FT h @;i�L h E?d1Gr@ h <?Ge@/Ñ+Ò/f=TKEvG¨d1E&Ge@/f/>1PH>1@\<tGe@�<?f/>,:=>}d�BS@6i!:KBSk h Pt:=Òc>ody<HP?J;R�5NOE�ÒcBSGe@Q<H>oiáBQJK<,Gr@�:=>}dy<}53bKU%<?f/>lGr@\<?PHGe@;EvG¨d#Ò6BQk h P?Geñ h ×/GekrGr<FT W2

BML h E?d h <?<?>1PHGe@/Ñ<HP h @;E?GI<HGrBQ@�iK>oÒ6>o@;i/E(BQ@�<?f/>¶<?BS< h k h @/ÑQJ/k h P�R+BSR+>1@\<?J;R'õ\J h @\<HJ/Rò@=J/R�×c>1PgE�BML3<?f;><HP h @;E?GI<HGrBQ@�5 W2

P?>oÒ/P?>}Ev>o@\<HE�<Hf/>ÀL�P h d�<?GeBS@$BSLÖEHd h <v<H>1PHGr@/Ñ�Ò/P?BKd1>oEHEv>}E�<?f h <�×c>1f h uQ>tkeG î >d1k h E?E?G¨d h k�iKGrÒcBSke>lEHd h <v<?>oP?Ge@/Ñ h @;i2<?f=J;E h P?>$ÒcBSk h PHGeñ1Ge@/Ñ;5!W�f/>.BQ×;Ev>oP?uQ>oi»E?d h <?<?>1PHGe@/ÑÒcBSk h PHGeñ h <HGrBQ@lG¨E(>�ÔKÒc>od�<?>oi�<HB+EHd h kr>©Ï(Gr<?f�<?f;>�u h krJ;>¶BSL W2

5] h ked1GrJ;R f h E.@/BÓ@\J6d�ke> h P�EvÒ;Gr@�UtE?B¯<Hf/>ï<HBM< h k h @/ÑSJ/k h PlR#BQR+>1@\<?J/R G¨ElÑQGruQ>1@

×=TÛ<Hf/>+>1ke>od�<?PHBS@/G¨dJõ\J h @\<?J/R @=J/R9×6>oPo5#j/BSP¶<Hf/>l] h���� í E?d h <v<H>1PHGr@;Ñl<HP h @;EvGr<?GeBS@%U

Ï&>�f h uS> J = 1/2 → 3/2 → 1/2U6Ï(f/G¨dgfïÑQGruQ>oE

W2 = 0.5UcÏ(f/Gekr>�L�BSPÀ<?f/>.] h���� Y

<HP h @;E?GI<HGrBQ@�Ï(Gr<?f J = 1/2 → 1/2 → 1/2UW2 = 0

U«Ï(f;Gedgf,R+> h @;E�<?f h <3<?f/>(YÈkrGe@/>&GeEGe@\<?PHGr@6EvG¨d h krkeT.J/@/ÒcBSk h PHGeñ h ×;kr>Q53N&<(<Hf/>�Ï h uQ>1ke>1@/ÑS<?f.BSL�<Hf/>,Y krGe@/>�PH>oE?BS@ h @;d�>QUQÏ(f;>1PH><Hf/>$<HBM< h kXBQÒ h d1GI<FTïG¨E�L�J;krkeT»i/J/>+<?BÛ<Hf/>lYókeGe@/> h keBS@/>QU%<Hf/>.BQ×;Ev>oP?uQ>oiÙÒ6BQk h P?Geñ h <?GeBS@d1J/PHuS>�Ge@;iK>1>}i�f h E h ño>1PHB.d�PHBQEHEvGe@/Ñ6U h E(>�ÔKÒc>od�<?>oi!Ï(f;>1@ W2 = 0

5�NOEtÏ&>�kr> h uS>¶<?f/>>1Ô h dy<(PH>oE?BS@ h @;d�>QU=f/B«Ï�>ouS>oPoUQ<?f/>,d1J/PHuS>¶R#B«uQ>oE&×c>�<FÏ&>1>1@�ÒcBQE?GI<HGruQ>+Ý±Ò h P h keke>1kr^�<HBM^¥krGeR�×

Page 7:  · E?T=@;dgf/PHBS@=T.Ï(Gr

j3GeÑSJ/PH> .3 �t>od�BQPHi/Gr@/Ñ$Ï(Gr<?fáZcCFmÛÚ&7¶Ü h <¶Î¶:;7�ì«í©Gr<v<ÀÚ�> hMî Gr@Ùm h PgdgfÛbS`S`\b#BMLn<?f;>PH>1ÑQGrBQ@ h PHBSJ/@;i�<Hf/>+]&Î× h @;i!f;> h i�U;Ï(Gr<?fÛ<Hf/>�E?krGr< h <¶ë h Pgd1E?>od¶Ge@;E?GeiK>,<?f/>9krGeR�× h <<Hf/>tf/>okrGeBSÑQP h Ò/f/G¨d�EvBQJK<?f+ÒcBSke>S5�W�f/> h PHP h T�BSL[E?R h kek/uS>oPv<HGed h kKkeGr@;>oE³Ge@#<?f/> Q/I

Ò h @/>1kGe@;iKG¨d h <?>}E�<?f;>$k h ×6BQP h <?BSPHTïÏ h uS>okr>o@/ÑM<Hf;E¶BML&<?f/>�]&ÎòkrGe@/>oEo5�W�f;GeE9EvÒc>od�<?P h k³E?>ody<HGrBQ@PH>1Ò;P?>}Ev>o@Q<gE h Ò/Ò/PHB�ÔKGrR h <H>1keT�<Hf/>©kr>1L�<v^¥R+BQEv<¶ê}`��BML�<Hf/>�EvÒc>od�<?P h kcÏ(Gr@;i/B«Ï�BML�j3GeÑ;5/bK5

ÒcBSk h PHGeñ h <HGrBQ@6æ h @6iO@;>1Ñ h <?GeuS>tݱÒ6>oP?Òc>1@;i/Ged1J/k h P%ÒcBSk h PHGrñ h <HGrBQ@6æ6u h krJ;>oEÖBSL\<Hf/>nL�P h d�<?GeBS@ h kÒcBSk h PHGeñ h <HGrBQ@ Q/I

5OW�f/>#ÑSkeBS× h k�í¶^DYçÒcBSk h PHGeñ h <HGrBQ@Ûd�J/PHuS>9>�Ô=<?>o@;i/EOB«uS>1PÀf\J;@;iKPH>oi/EBSL ��5W�f;>�>1ÔKÒ/k h @ h <HGrBQ@¯L�BSP#<Hf/GeE+PH>1R h P î«h ×;kr>�EvÒc>od�<?P h k(Ò h <v<?>oP?@ÈÏ(GI<Hf�E?GeÑS@ÓPH>1uQ>1PgE h k

f h E,×c>1>o@¯L�BSJ;@;i»<?Bï×c>lGe@á<?>oP?R$E�BMLtõ\J h @\<?J;R Ge@\<?>1P?L�>1PH>1@6d�>.×c>�<FÏ&>1>o@á<?f/>lí h @;iY EHd h <v<H>1PHGr@/Ñ h R+Ò/keGI<HJ;iK>}EÛÝ�:\<H>1@KA;BÕê}aS_S`\æy5ÓW�f;>�Ge@/Gr<?G h k h @;i �6@ h k(Ev< h <H>oE+BSLÀ<?f;>EHd h <v<H>1PHGr@/Ñ.<?P h @;E?GI<HGrBQ@ÛGeEÀ<?f;> J = 1/2

ÑSPHBSJ;@;iÛEF< h <H>S5ÀW�f/>9Gr@\<H>1PHR#>}iKG h <?>QU6>1Ô/d�Gr<?>oiEv< h <?>#GeEOf/B«Ï&>1uQ>1Pt@/>oGI<Hf/>1P¶<Hf/> J = 1/2

@/BSPO<?f;>J = 3/2

EF< h <H>SU[×/JK< h d1BSf/>oP?>o@Q<}UkeGe@/> h P¶E?J/Òc>1PHÒ6B\EvGr<?GeBS@ïBSLn<?f/>9<FÏ&B;U h @ h krBQÑSBSJ6E�<?B h �H:Kdgf/P � i/Gr@/ÑQ>1P¶d h <&�g5¶W%B�BS×K< h Ge@<Hf/>l:\<HB î >}E©Ò h P h R+>1<?>1PgE+Ý�ÒcBSk h PHGrñ h <HGrBQ@;EHæ�U�Ï&>#@;>1>oi2<HB�L�BQP?R ×/GekrGe@/> h P�Ò/PHB=i/J;dy<gE©BML<Hf/>�EHd h <v<H>1PHGr@/Ñ h R+Ò/krGr<?J6iK>oE�Ý�<?f;>�EHõQJ h PH>nBML=<?f/> h R+Ò/keGI<HJ;iK>}EÖL�BSP%<?f/>�E?d h <v<H>1PHGr@;Ñtd�PHBQEHEE?>od�<?GeBS@6æ�53W�f;>�d1P?B\E?E�Ò/PHBKiKJ;dy<gE�<?f h <3<Hf/>1PH>1×=T h P?G¨Ev> h PH>³<Hf/>(õ\J h @\<?J;RçGr@\<H>1P?L�>1PH>1@;d1>oEoUÏ(Gr<?f;BSJK<�Ï(f/G¨dgf$<?f/>oP?>¶d�BQJ/keil×6>O@/B9E?GeÑS@ldgf h @/ÑS>ÀGr@l<?f/>¶Ò6BQk h P?Geñ h <?GeBS@$d�J;P?uQ>tL�BSP�<?f;>í h @;i¯YòkeGe@/>oEo5ÙöéGr<?f¯<Hf/>.<Hf/>1BQP?T2L�BSP�<?f/>�õ\J h @\<?J;R�Ge@\<?>oPvL�>oP?>o@;d�>.×c>�<FÏ&>1>o@¯<?f;>J = 3/2

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1L�BSP#<Hf/>!J/Ò/Òc>1P$EF< h <H>»Ý�d�BSR+R+BS@ÓL�BSP h kek&<?f/PH>1>�keGr@/>}EHæ�5ÓN(d1d1BSPgiKGe@/Ñï<HB»Ev< h @;i h PgiEHd h <v<H>1PHGr@/Ñl<?f/>oBSPHT�BQ@/>�Ï&BSJ;keiÛ>1ÔKÒ6>}dy<¶<?f/>$ëKê}_ ����keGe@/>,<HB�ÒcBSk h PHGrño>.ê �/b+BSPgiK>oPHEÀBMLR h ÑS@/Gr<?J;i/>Àke>oEHEn<?f h @$<Hf/>ÀBS<?f/>oPXkeGr@/>}E1U\>1uQ>1@$Ï(f/>o@ h dod�BQJ/@\<?Ge@/Ñ©L�BSP h kek/<?f;>ÀÒcBQEHEvGe×/ke>A6J/BSPH>oEHd�>o@Q<�d�BQ@Q<HP?Ge×/JK<HGrBQ@;EÀݱÏ(f/>1@l<?f/>¶Ge@/GI<HG h k h @;i �6@ h kÖEv< h <H>oE h PH>ÀiKGrôc>oP?>o@\<gæy5³W�f;>] h�� <?PHGrÒ/ke>�< h <��/ê}`� /U��/ê�bSbKU h @;i �/ê �Qb �Þf h Et<Hf/>#GeiK>o@\<?G¨d h k J õ\J h @\<?J;R @\J;R�×c>1PgEh @;i h k¨E?BtEvf/B«ÏtEÖ<?f/>XE h R+>³ÒcBSk h PHGeñ h <HGrBQ@O×c>1f h u\GeBSP43 h kr<?f/BQJ/ÑSf©<Hf/>#�;ê �Qb��2keGe@/>³Ï&BSJ/k¨i×c>�>�ÔKÒ6>}dy<H>oiá<HB»E?f/B«ÏØkrGr<v<Hkr>�GrL h @=TáÒ6BQk h P?Geñ h <?GeBS@�U3GI<gE#Ò6BQk h P?Geñ h <?GeBS@ h R+Ò/keGI<HJ;iK>�GeEBQ×;E?>1PHuS>oiï<?B�×6>$k h PHÑS>oPt<Hf h @2<?f/> h R+Ò/krGr<?J6iK>oE¶BML�<?f/>+BS<?f/>oP©<FÏ�B�krGe@/>}E#Ý�:\<?>o@KA;BÛ>1<h k�5XbS`S`Q`M×6æ�5NÀ@á>�ÔKÒ/k h @ h <?GeBS@2L�BSP�E?J;dgf h Ò/Ò h P?>o@\<?keT h @/BQR h keBSJ;E¶×c>1f h u=GeBSP�f h E©×6>o>1@áL�BSJ;@;i

×=TïW�P?J �FGrkekrB �&J/>1@;B�pòÜ h @;iKGnðO>1ÑQk � CD@/@/BKd�>o@\<?G(ÝFê}aSa��Sæ h @6iÙW�P?J��FGekekrB �&J/>1@/B»ÝFê}aSaSa\æGe@#<?>oP?R$E�BMLcBSÒK<HGed h kKÒ/J;R#Ò;Gr@/Ñ©BSL;<?f;>(krB«Ï&>1P h <HBSR+Ged�Ev< h <?>S53öéGr<?f/Ge@#<?f/>tiK>o@;E?GI<FT,R h ^

êo_

Page 19:  · E?T=@;dgf/PHBS@=T.Ï(Gr

j3GeÑSJ/PH>+êo`.33Ú�BQk h P?Geñ h <?GeBS@lBSL%<Hf/>,EF<HP?BQ@/Ñ+mÛÑ � ×!keGr@;>oEoUKP?>}d�BSPgiK>}i.Ï(Gr<?fÙZcCFmÛÚ&7¶Ü h <ζ:;7�ì«í©Gr<v<OÚ3> hMî Ge@ïNtÒ;P?GekXê}aSaQë�@/> h P(<Hf/>�f/>1keGeBSÑSP h Ò;f/Ged¶@/BQPv<Hf!Ò6BQkr>lÝ�L�P?BQR :\<H>1@KA6B>1< h k�5�bS`S`S`S×6æy5�Ntkr<?f/BQJ/ÑSf9<?f/>të/êo_ ����keGr@/>�Ï&BSJ/k¨i9×6>�>�ÔKÒc>od�<?>oi�<?B©×c> h keR#B\EF<�J/@/ÒcBM^k h PHGeñ1>oi h d1d�BQPHi/Gr@/Ñ©<HB,EF< h @;i h Pgi#EHd h <v<H>1PHGr@/Ñ©<Hf/>1BQP?TQUSGr<Xf h En<?f;>tk h P?ÑQ>oEv<nÒ6BQk h P?Geñ h <?GeBS@h R+Ò/krGr<?J6iK>$BML&<?f/>+<Hf/PH>1>+R h ÑS@;>oE?GrJ/R krGe@/>oEo5$W�f/G¨E,d h @2×c>$>�ÔKÒ/k h Ge@/>oi2Ge@2<H>1PHR$E©BMLBQÒK<?G¨d h k[Ò/J/R+Ò/Ge@/Ñ9BSLÖ<?f/>©ÑQP?BQJ/@;i$Ev< h <H>S5nÎtBS<?>¶f/B«ÏÕ<?f;>¶mÛÑ � krGe@/>}E h P?>¶EvJ/PHPHBSJ/@;i/>oi×=T�Ï�> hMî ×/JK<ÀEv<?PHBS@;ÑSkeT.Ò6BQk h P?Geñ1Ge@/Ñ#R+BSke>od�J;k h P&keGe@/>oE(BSL3mÛÑ\Y,5

<HP?GrÔ.L�BQP?R h keG¨EvR!U\<?f/>,Ev< h <?G¨EF<HGed h k[>oõ\J/GekeGr×/PHGeJ/RòÒ/PHBS×/ke>1RóG¨E(E?BSkeuS>oilÏ(f/Gekr> h dod�BQJ/@\<?Ge@/ÑL�BQP³<Hf/> h <HBSR+G¨d(Ò6BQk h P?Geñ h <?GeBS@ h @;i$d1BSf/>oP?>o@;d�>}EnBML[<Hf/>tu h PHGrBQJ;Enke>1uQ>1k¨E153W�f/>ÀJ/kr<?GeR h <H>E?BSJ;PHd1>(BMLÖ<?f;>tÒ6BQk h P?Geñ h <?GeBS@+G¨E h EX×6>1L�BSPH>�<?f/> h @/G¨E?BM<?PHBSÒ;Ged�GekrkeJ/R+Ge@ h <HGrBQ@$BML[<?f/>¶E?d h <?^<H>1PHGr@;Ñ h <?BQR!USÏ(f/G¨dgf+Gr@;i/J;d�>}E h <HBSR+Ged&ÒcBSk h PHGrñ h <HGrBQ@9Ge@#<?f/>t>1Ô/d�Gr<?>oi+Ev< h <?>S5�YtB«Ï&>1uQ>1P}UÏ(f;>1@�<?f/> h <?BQR EvÒcBS@\< h @/>oBSJ;E?krT�i/>od h TKE#Ge@È<Hf/>Û>1R+G¨E?E?GeBS@�Ò/P?BKd1>oEHE1UXE?BSR+>!BML¶<?f;>h <?BQR#G¨d$ÒcBSk h PHGrñ h <HGrBQ@»G¨E�<HP h @;EvL�>1PH>oi2L�P?BQR <Hf/>lJ;Ò/Ò6>oP,<HBÛ<?f/>�krB«Ï&>1P h <?BQR#G¨d.Ev< h <?>S5C¥L�<?f/G¨E©keB«Ï�>oPv^DEF< h <H>�ÒcBSk h PHGrñ h <?GeBS@2EvJ/PHu=GruQ>oE#Ý�Ï(Gr<?f»P?>}EvÒc>od�<©<?B!d�BSkekeGeE?GrBQ@;EoUcR h ÑS@/>1<?G¨dÒ;P?>}d�>oEHE?GrBQ@�U�BQP,BM<Hf/>1P9iK>od h TÙÒ/PHBKd�>oEHE?>oEgæÀJ;@Q<HGrk&Gr<�>�ÔKÒc>1PHGr>o@;d�>}E©<?f/>l@/>�Ô=<�P h iKG h <HGruQ>>1Ô/d�Gr< h <HGrBQ@�UK<Hf/>1@�<?f;>,E?d h <v<H>1PHGr@;Ñ9Ò/PHBKd�>}E?E�@/>1Ô=<(<?GeR#>,Ev< h Pv<gE&L�P?BQR h @�Ge@/GI<HG h krkeTlÒ h P?^<HG h krkeTïÒcBSk h PHGrño>oiÙkrB«Ï&>1P©EF< h <H>S5+NtÑ h Gr@%UÖ<?P h @;EvL�>1P¶BML h <HBSR+Ged#ÒcBSk h PHGrñ h <HGrBQ@ÛL�P?BQR <?f;>>1Ô/d�Gr<?>oi�<HB+<?f/>��;@ h k�Ev< h <H>¶< hMî >oE�Ò/k h d1>S5³NtL�<?>1PÀR h @=TlEvJ6dgf�EHd h <v<?>oP?Ge@/Ñ#Ò/PHB=d1>oEHEv>}E hEv< h <?G¨EF<HGed h k3>oõ\J/GekrGe×/PHGrJ;R GeEO>oEv< h ×/krG¨E?f/>oiÖU[Ï(f/>oP?>o×=T�<Hf/>#krB«Ï&>1P¶EF< h <?>9f h EO×c>1>1@2BSÒK<HGI^d h kekrT!Ò/J;R#Òc>oiï<?B h d1õ\J/GePH> h d1>1P?< h Ge@ h <HBSR+G¨d,ÒcBSk h PHGrñ h <?GeBS@%5töéf/>1@Ù<?f/>#E?d h <?<?>1PHGe@/ÑEv< h Pv<gE�L�PHBSR h @ h keP?> h iKT9Ò6BQk h P?Geñ1>}i#Gr@/Gr<?G h kcEF< h <H>SUM<Hf/>tÒcBSk h PHGrñ h <HGrBQ@#BSL[<?f/>ÀEHd h <v<H>1PH>oiP h i/G h <?GeBS@ld h @.×c>¶E?J/×;Ev< h @\<?G h kekrT$iKGrôc>oP?>o@\<XL�PHBSRØ<?f;>Od h Ev>OÏ(f/>1@l<?f/>¶Ge@/GI<HG h kÖEF< h <?>OGeEJ;@/Ò6BQk h P?Geñ1>}iÖ5NÀ@/BM<Hf/>1P h @/BQR h krBQJ;End h Ev>�<Hf h <�f h E�L�BQJ/@;i h d1BS@=u=Gr@;d1Gr@;Ñ�>�ÔKÒ/k h @ h <?GeBS@#Gr@+<H>1PHR+E

BSL%EvJ6dgf$BSÒK<HGed h k;Ò;J/R+Ò/Gr@;Ñ�G¨En<?f;>©] h�� � Gr@KL�P h PH>oi#<HP?GeÒ/ke>�< h <&_��QaS_;US_Që �\b/U h @;il_����\b �Ý�:\<?>o@KA;B+>�< h k�5�êoaQ_� M×%U\bM`Q`S`S×6æ h @6i$<?f;> � h�� � <?PHGrÒ;kr>1<&Ï(Gr<?fl<?f/>¶Gei/>1@\<?G¨d h k[õ\J h @\<?J/R@=J/R9×6>oP(EF<HP?J;d�<?J/PH>SU h <(ëM_\ë��;U��/ê �\bKU h @;i � �Qa � �çÝ�:\<?>o@KA;B�>1< h k�5³bS`S`S`S× ��� h @;iKBQPvL�>oPbS`S`Q`Qæy53W�f/>O] h�� � Ge@KL�P h PH>oi9<?PHGrÒ;kr>1<³GeEnk h PHÑS>okrT,A;J/BSPH>oEHd�>o@\<?keT,>�Ô/d�Gr<?>}i#×\T�<?f/>(J;kI<HP h u=Gr^BQkr>1<XP h iKG h <HGrBQ@9L�PHBSR<?f/>�] h���� í h @;i$Y�krGe@/>oEo5�Ü�G î >(L�BQPn<?f/>OmÛÑ �ch @;il] h�� <HP?GeÒ/ke>�<HER+>o@Q<HGrBQ@/>oi h ×cB«uS>QUS<Hf/>©krGe@/>¶Ï(GI<Hfl<Hf/>©krBQ@/ÑS>}EF<�Ï h uS>1ke>1@;ÑM<?f%U\_����Qb��çÝ�BQP ���Qa � �ÕL�BSP

êoa

Page 20:  · E?T=@;dgf/PHBS@=T.Ï(Gr

j3GeÑSJ/PH>+êSê 33Ú�BQk h P?Geñ h <?GeBS@lÒ;P?B��;kr>©BSL�<Hf/>,Î h�� ð2

ëM_S_Qa/5 a�� h @;i!ð1

ëS_Sa\ëK5 a ��� krGe@/>oEPH>od1BSPgiK>oi©Ï(Gr<?f$ZcCFmÛÚ&7¶Ü h <�ÎO:;7�ìMí©GI<?<%Ú�> hMî ë h PHdoEv>}d�Gr@6EvG¨iK>³<Hf/>�EvBQk h P�krGeR�×�Ý�:\<H>1@K^A6B.>�< h k�5ÀbM`S`Q` h æy5&öéf/Grke>,<Hf/>,k h PHÑS>1^¥EHd h kr>©Ò h <v<?>oP?@ÛÏ(Gr<?f2EvGeÑS@ÛPH>1uQ>1PgE h k�d h @Û×c>,>1Ô\^Ò;k h Gr@/>}i©×=T¶õ\J h @Q<HJ/R Ge@\<?>oPvL�>oP?>o@;d�>n×c>�<FÏ&>1>o@©<?f/>Xð

2

h @;i�ð1

E?d h <v<H>1PHGr@;Ñ�<?P h @;E?GI<HGrBQ@;EoU<Hf/>�ÒcBSk h PHGrñ h <?GeBS@�Ò6> hMî Gr@�<?f;>©ðOBSÒ;Ò/kr>oPÀd�BQP?>¶BML3<?f;>,ð

1

keGr@;>�P?>oR h Gr@6E�>o@/GeÑSR h <HGedS5

<Hf/> � h�� � <?PHGrÒ;kr>1<gænG¨E³>1ÔKÒ6>}dy<?>}i+<?B�×6> h keR#B\EF<�J/@/ÒcBSk h PHGrño>oi#Gr@�d�BSR+Ò h P?G¨E?BS@+Ï(GI<Hf$<?f;>BS<?f/>oP�<?PHGeÒ/kr>1<,krGe@/>}E h dod�BSPgiKGe@/Ñ�<?BïEv< h @;i h Pgi»E?d h <v<H>1PHGr@;Ñ�<Hf/>1BQP?TÙÏ(GI<Hf¯J/@/ÒcBSk h PHGrño>oiGe@/Gr<?G h k�EF< h <H>oEoU�Ï(f/Geke>$<?f/>�BS×;E?>1PHu h <HGrBQ@;E�Evf;B«ÏÁÒ;P?BQR#Ge@/>o@Q<,ÒcBSk h PHGeñ h <HGrBQ@áÒ6> hMî E©L�BSP<Hf/>oE?>$keGr@/>}E15�m h @;E?BÛ: h Ge@/ñ.p W�PHJ��FGrkekeB���J;>1@/B¯Ý�bS`S`;êSU�bS`S`� \ætf h uS>#>�Ô h R+Ge@/>oi2<?f;>] h���� Ge@KL�P h PH>oi»<?PHGeÒ/kr>1<+d h E?> h @6i�d�BQJ/keiÈEvJ6d1d�>}E?EvL�J/kekrT»R+BKiK>1k&<?f;>�BQ×;Ev>oP?uQ>oi»ÒcBSk h P?^Geñ h <?GeBS@�Ò h <?<?>oP?@�Gr@�<?>oP?R$E�BSL�keB«Ï�>oPv^DEF< h <H> h <HBSR+G¨dOÒcBSk h PHGeñ h <HGrBQ@ld�PH> h <?>}il×=T$BSÒ/<?G¨d h kÒ;J/R+Ò/Gr@;Ñ;5

� �����������1��0 � ,� � $����Í!0 �1

NÀkI<Hf/BSJ;ÑSf h Ò/Ò h P?>o@Q<HkrT©>o@/GrÑQR h <?G¨d³ÒcBSk h PHGeñ h <HGrBQ@�L�> h <?J/PH>oE�keG î >X<Hf/>�BQ@/>oE3iK>}E?d1P?Ge×6>}i,Ge@<Hf/>�Ò/PH>1u=GeBSJ;E(:=>}dy<o5��65 �#f h uQ>ÀL�BQJ/@;i�d�BS@=u=Ge@;d�Ge@/Ñ#>�ÔKÒ/k h @ h <?GeBS@;E&Ge@l<H>1PHR+E�BSL%BSÒ/<?G¨d h kÒ;J/R+Ò/Gr@;Ñ;UnBS@;>$<FT=Ò6>�BML h @/BQR h keT2f h E�E?BÛL h P9>1keJ;iK>}i h kekX>1Ô=Ò;k h @ h <HGrBQ@»>1ôcBQPv<gE15ÙC¥<d1BS@;d1>1PH@;E¶<?f;>$BS×;E?>1PHuS>}iïÒcBSk h PHGrñ h <?GeBS@2Ò6> hMîÙh <©<?f/>.d1>1@\<?>oP�BML&<?f/>.j;P h J/@/f/BSL�>1P�ð

1keGe@/>.BMLtE?BKiKGrJ;R�5Ûj3GeÑSJ/PH>ÛêSê$BQ×K< h Gr@/>}i¯ë h Pgd1E?>od#Ge@;EvG¨iK>+<Hf/>�E?BSk h P�keGrR9ׯGrkekeJ;EF<HP h <?>}E<Hf/>�PH>1R h P î«h ×;kr>©ÒcBSk h PHGrñ h <?GeBS@!Ò h <v<H>1PH@ h d�PHBQEHE&<?f/>#Î h�� ð

2

h @6iÛð1

krGe@/>oE9Ý�:\<H>1@KA6B>1< h k�5nbS`S`Q` h æ�53W�f;> J õ\J h @\<?J/Ró@=J/R9×6>oPHE&BML%<?f/>}Ev>¶<FÏ&B�keGr@/>}E h PH>t<Hf/>�E h R#> h EXL�BSP<Hf/>�] h�� � í h @6i»YòkrGe@/>oE 3 J` = 1/2

L�BSP©<Hf/>.ÑSPHBSJ;@;i2Ev< h <?>QU h @6i Ju = 3/2h @;i

ê«ìMb/UcPH>oE?Òc>ody<HGruQ>1keTSUcL�BSPO<?f;>#>1Ô/d�Gr<?>oi2EF< h <H>oEo5©Ü%G î >�<Hf/>+d h E?>�BSL³<?f;>#í h @;iÙYqkeGr@/>}E1U<Hf/>#B«uS>1P h kek�k h PHÑS>1^¥EHd h kr>�Ò/PHBSÒc>1P?<?Ge>oEÀBML³<Hf/>�ÒcBSk h PHGeñ h <HGrBQ@ÛÒ/PHB �;ke>9d h @ï×c>�>1Ô=Ò;k h Gr@/>}iGe@�<H>1PHR$E9BSLOõ\J h @\<HJ/R#^�R+>odgf h @/G¨d h kXGe@Q<H>1P?L�>1PH>1@;d1>l×c>�<FÏ&>1>o@¯<?f/>�<FÏ&BÙGe@Q<H>1PHR+>oiKG h <H>Ev< h <?>}E�Ï(Gr<?f Ju = 3/2

h @;i�ê�ìSbKUtGe@;d1krJ;i/Gr@/ÑÈ<?f;>»E?GrÑQ@�PH>1uS>oPHE h kÀBML#:\<HB î >oE Q/I×c>�<FÏ&>1>o@,<Hf/>&ð2

h @;i9ð1

keGr@/>}E�Ý�:\<H>1@KA;B#êoaQ_S`;U\ê}aSa �Mæy53:=Gr@6d�>�<?f/>&krGe@/>1^�<HBM^Dd�BS@\<HGr@=J/J/R

bM`

Page 21:  · E?T=@;dgf/PHBS@=T.Ï(Gr

BQÒ h d1GI<FTlP h <?GeB#G¨EtE?R h kekr>oP�L�BSP(<Hf/>,ð2

�=ð1

keGr@/>}E h E(d1BSR+Ò h P?>}ilÏ(Gr<?f�<?f;>�í �=Y keGr@/>}E1U<Hf/>»krGe@/>»Ò6BQk h P?Geñ h <?GeBS@�d h @/@/BS<�>�Ô=<H>1@;i�E?B�L h P�Ge@\<?BÓ<?f/>áiKG¨EvÒc>1PgEvGeBS@éÏ(Ge@/Ñ\E h ElGe@<Hf/>ïí �=Y d h E?>SU h kI<Hf/BSJ;ÑSf�L h P$>1@/BQJ/ÑSfÓ<?B�E?f/B«Ïó<Hf/>ïõ\J h @\<?J;R9^¥Ge@Q<H>1P?L�>1PH>1@;d1>�E?GrÑQ@PH>1uQ>1PgE h k�5nW�f/>©BQ×;Ev>oP?uQ>oi�Ò h <?<?>oP?@!d h @�×c>©L�BSkekeB«Ï�>}ilBQ@l<Hf/>,EvBQk h P(iKGeE î B«uQ>1P h k h P?ÑQ>P h @;ÑS>+BML�krGeR�ׯiKG¨Ev< h @6d�>oEoU h @;i2<?f/>$P h <HGrB!BSL�<Hf/>.ÒcBSk h PHGrñ h <?GeBS@ h R+Ò/keGI<HJ;iK>}E,BML&<?f;>ð

1

h @;i.ð2

keGr@;>oE³PH>1R h Gr@;E h Ò/Ò/PHB�ÔKGrR h <?>1keT�Ge@;iK>oÒ6>o@;iK>o@Q<&BMLÖkeGrR9×liKG¨EF< h @;d1>�Ý�:\<H>1@KA6B>1< h k�5XbM`Q`S` h æy5N(dod�BQPHiKGe@/Ñ(<HB¶õ\J h @\<?J/R�R+>odgf h @/G¨d1EoU}<?f/>�ð

2

EHd h <v<?>oP?Ge@/ÑÀ<?P h @;E?GI<HGrBQ@�E?f/BSJ/k¨i�f h uQ>h @ÓGe@\<?PHGr@;E?G¨dlÒcBSk h PHGrñ h ×/GekeGI<FT W2 = 0.5

U³Ï(f;Grke>l<Hf/>J = 1/2 → 1/2 → 1/2

ð1EHd h <v<H>1PHGr@/Ñ�<HP h @;EvGr<?GeBS@¯E?f/BSJ;kei»×c>$J/@/ÒcBSk h PHGrñ h ×/ke>SU�Ï(GI<Hf W2 = 0

5.CD@á<?f;>�] h���� íh @;i¯Yód h Ev>$Ï&>.E?>1>$Ge@áj3GeÑ;5�b.<Hf h <�<?f/>.BQ×;E?>1PHuS>oi2ÒcBSk h PHGrñ h <?GeBS@ h <,<Hf/>.d�>o@\<?>1P�BML<Hf/>!Y keGr@;>�G¨E�Ge@;iK>o>oiÓñ1>1PHB;U h E�>1Ô=Òc>od�<?>}iÖ52CD@�d�BQ@Q<HP h EF<}U3<?f/>!Î h�� ð

1

krGe@/>lf h E hÏ&>1kekr^¥iK> �;@/>}i¯Ò6BQk h P?Geñ h <?GeBS@áÒc> hMî Ge@¯<?f;>�ðOBSÒ/Ò/ke>1P#d�BQP?>QU3>1Ô h dy<HkrTád�>o@\<?>1PH>oiáBQ@¯<?f;>keGe@/>S5³N&<tkeGr@;>,d�>1@\<H>1P}U=<?f/>,ð

1

E?d h <?<?>1PHGe@/Ñ9BQÒ h d1GI<FT�d�BSR+Ò/ke>�<H>1keTliKBQR#Ge@ h <?>oE�B«uQ>1P&<?f;>d1BS@\<?Ge@=J/J/R'BSÒ h d�Gr<FT h @;i�<Hf/>�iKG¨EvÒc>1PgE?GrBQ@K^�Ï(Ge@/Ñ#BSÒ h d�Gr<FT$L�PHBSRò<Hf/>,ð

2

krGe@/>QU6E?B#ño>1PHBÒcBSk h PHGeñ h <HGrBQ@lÏ&BSJ/k¨i�×6>�>1ÔKÒ6>}dy<?>}i.<Hf/>1PH>�GrL3PH> h krkeT W2

Ï�>oP?>¶ñ1>oP?B65W�f;>1PH>¶G¨E�f/B«Ï&>1uQ>1P�BS@/>©GeR+Ò6BQPv< h @\<tiKGIô[>1PH>1@6d�>©×6>1<FÏ�>o>1@�<?f;>,í �=Y h @;i�<?f;>,ð

2

�ð

1

<HP h @;EvGr<?GeBS@6E 3³E?BKiKGrJ;R f h E h @\J6d�ke> h PtE?Ò/Ge@¯Ý \ìSbSæ�UKGr@ïd1BS@\<?P h Ev<�<HB.d h ked1GrJ/R!5XW�f;>E?BKiKGeJ/R krGe@/>}E h P?>$<Hf/>1PH>�L�BQP?>�EvJ/×��F>ody<9<?B2f\T=Òc>1P!�;@/>lEv<?PHJ;d�<?J/PH>�E?Ò/keGI<?<?Ge@/Ñ;5»j/BSP9<?f;>ð

1

<HP h @;EvGr<?GeBS@È<?f;>ÛkrB«Ï&>1P h @6iÓJ/Ò;Ò6>oP.kr>ouS>okeE h P?>�×6BS<?féE?Ò/krGr<.Ge@Q<HB»<FÏ�Báf=T=Ò6>oP&�;@;>Ev< h <?>}E1U¶f h u=Gr@;Ñ�<?BS< h k h @/ÑSJ/k h P�R+BSR+>1@\<HJ/R õ\J h @\<?J;R @\J;R�×c>1PgE F = 1

h @;i bK5:KGr@;d1>�<?f;>,Gr@\<HP?Ge@;E?Ged©ÒcBSk h PHGrñ h ×/GekeGI<HGr>}E h PH>,iKGIô[>1PH>1@\<tL�BQP(<?f;>�iKGrôc>oP?>o@Q<Àd1BSR9×/Gr@ h <?GeBS@6EBSL

FõQJ h @\<?J/RÁ@=J/R�×c>1PgEoUSBS@;>Àd�BQJ/kei+f;BSÒc>(<?f h <³<?f;>À@/>1<XÒ6BQk h P?Geñ h ×/GekrGr<FT�Ï&BSJ/k¨i+@/B«Ï

×c>©iKGIô[>1PH>1@\<&L�P?BQRØñ1>1PHB;5�W�f/G¨EXG¨E�@/BM<�<?f/>©d h Ev>Q5�öéf/>o@ h i/iKGe@/Ñ�J/Ò h kek;<Hf/>¶P?>}EvBQ@ h @\<h @;i$A6J/BSPH>oEHd�>o@Q<�d�BQ@Q<HP?Ge×/JK<HGrBQ@;EX<?f h < h P?>OÒ6B\E?E?Gr×;kr>OÏ(GI<Hf/Gr@�<?f;>Of=T=Ò6>oP&�6@/>¶Ev<?PHJ;d�<?J/PH>R9J/kr<?GeÒ/kr>1<oU h d1d�BQJ/@\<?Ge@/Ñ�L�BQP³<?f;>ÀPH>1k h <?GeuS>ÀÏ�>oGrÑQfQ<gE³ÑQGruQ>1@$×=T#<?f/>©iKGrôc>oP?>o@Q<�<?P h @;E?Gr<?GeBS@Ev<?PH>1@;ÑM<?f6E,Ý�Ï(f/G¨dgf�L�BSkekrB«ÏèL�PHBSRò<Hf/>,öéGeÑS@/>oPv^¥VXd î«h Pgi=<�<?f;>1BSPH>1R!U;d�LF5&:\<H>1@KA6BïêoaQa �\æ�UÏ&>�BQ×K< h Gr@ÙÒ6>oPvL�>}dy<�d h @6d�>1kek h <?GeBS@ÙBMLn<?f;>9PH>oE?BS@ h @\< h @;iïA;J/BSPH>oEHd�>o@\<Od�BQ@Q<HP?Ge×/JK<HGrBQ@;Eo5W�f;>,P?>}EvJ;kI<ÀG¨E(<Hf h <À<?f/>9>�ÔKÒ6>}dy<H>oi!@/>1<ÀGr@\<HP?Ge@;E?Ged�ÒcBSk h PHGeñ h ×;GrkeGI<FT�Evf/BQJ/k¨i!P?>oR h Gr@!>1Ô\^h dy<HkrT�ñ1>1PHB;5NçÒ6B\E?E?Gr×;kr>�E?BSkeJK<HGrBQ@�BSL�<?f/G¨Et>o@/GrÑQR h Ï h E(Ò/PHBSÒcBQE?>oi�×=T�Ü h @;iKG3ðÀ>oÑSk � CD@/@;B=d1>1@\<?G

ÝvêoaQaS_Qæ&Ge@Û<H>1PHR+EÀBMLnBSÒ/<?G¨d h k%Ò/J/R+Ò/Ge@/Ñ;5tNOEOiK>}E?d1P?Ge×c>oi!Ge@Ù:=>od�<o5��;5 �;U h <?BQR#G¨d©ÒcBSk h P?^Geñ h <?GeBS@�<?f h <ÀG¨EtGe@;iKJ;d1>oi!Ge@�<?f/>,>1Ô/d�Gr<?>oiÛEv< h <?>�×=T�<?f/> h @/BQE?GI<HP?BQÒ/G¨dOGekekrJ/R+Ge@ h <HGrBQ@ÛGeEÒ h P?<?keT,<?P h @6EFL�>oP?>}i,<HB©<?f/>tkeB«Ï&>1PnEF< h <H>(×\T�<?f/>OEvÒcBS@\< h @/>1BQJ;E�>1R+G¨E?E?GeBS@#Ò/P?BKd1>oEHE153ðÀJ/><HB#<?f/>©f=T=Ò6>oP&�;@;>¶Ev<?PHJ;dy<HJ/PH>©E?Ò/keGI<?<?Ge@/Ñ;U=<Hf/>

F = 1h @;i�b9Ev< h <H>oE h P?>OÒ6BQk h P?Geñ h ×/kr>¶Ge@

Ò;P?Ge@;d�GeÒ/ke>SU«Ge@�d�BQ@\<?P h Ev<�<?BÀ<?f/>&J/@;E?Ò/keGI< J = 1/2Ev< h <?>S5�öéGI<Hf h Ò h P h R+>�<HP?Geñ1>}i©R+B=i/>1k

Ü h @;i/G³ðÀ>oÑSk � CD@/@;B=d1>1@\<?GtÝvêoaQaS_/U�ê}aSaSa\ætd1BSJ/k¨iÙE?f/B«Ïçf/B«Ïç<?f/G¨E©R+>odgf h @/GeE?RÐd�BQJ/k¨iÙGe@Ò;P?Ge@;d�GeÒ/ke> h dod�BSJ;@Q<�L�BQP(Ò6BQk h P?Geñ h <?GeBS@lGe@�<?f/>,d1BSPH>¶BSL%<Hf/>,ð

1

krGe@/>S5W�f;>ÙÒ h P h R#>1<?>oP.u h keJ/>oE�J;E?>oiÕGe@�<?f;>ÙR+BKiK>1k¶BML�Ü h @;iKG¶ðÀ>oÑSk � CD@;@/BKd�>1@\<HGOÏ&>1PH>

f;B«Ï�>ouS>1P�@/BS<ÀiK>1PHGeuS>oilGr@ h E?>1krL�^¥d1BS@;E?G¨EF<H>1@\<&Ï h T.×/J/<Àdgf/BQE?>1@�<?B+×c>oEv<)�/<(<?f/>�BQ×;E?>1P?^u h <?GeBS@;Eo5nÜ h <H>1P h @ h keTKEvG¨E1UQGr@6d�keJ;iKGe@/Ñ,P h iKG h <HGruQ>�<HP h @;EvL�>1PXd h k¨d�J/k h <HGrBQ@;E h EX@/>1>}iK>oi9L�BSPE?>1krL�^Dd�BS@6EvG¨EF<H>1@;d1TSU=Evf;B«Ï�>}i#<?f h <X<?f;>t<?f;>1BSPH>�<HGed h kekrT#Ò/PH>oiKG¨dy<H>oi.ð

1

Ò6BQk h P?Geñ h <?GeBS@+Ò6> hMîÏ&BSJ;kei¯f h uS> h @ h R+Ò/keGI<HJ;iK> h ×cBSJK<�ê �KbÛBSPgiK>1PgE,BSLtR h ÑS@/Gr<?J6iK>.<HB\B»EvR h krk h @;i h @h @\<?Gr^¥E?T=R#R+>1<?PHGed(Ò;P?B��;kr>OEvf h Ò6>9ݱW�P?J��FGekekrB �&J/>o@/B�>1< h k�5³bM`Q`Qb �Qí©>1P î >1@;G6p �&BSR+R+Gr>oPbS`S`\b �Qí©ke>1R+>o@Q<�pç:\<?>o@KA;B+bM`S`� Qæ�USGe@ld�BQ@Q<HP h EF<X<?B�<Hf/>�Z[CFmÛÚ&7¶ÜÛBQ×;Ev>oP?u h <?GeBS@;E³<?f h <d1BS@;E?G¨EF<H>1@\<?keTÓE?f/B«Ï h EvT=R+R+>�<?PHG¨d h @;iÈk h P?ÑQ>�^ h R+Ò/keGI<HJ;iK>lÒ;P?B��;kr>Ûd1>1@\<?>oP?>}i�BS@È<?f;>

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Page 22:  · E?T=@;dgf/PHBS@=T.Ï(Gr

j3GeÑSJ/PH>!ê}b(3,j�GeuS>+PH>od1BSPgiKGr@;ÑQE¶BML�<?f/>l:\<HB î >oE I h @;i Q/IÒ/P?B��;ke>oE©BML&<?f;> � h���� ð

1�\a� �����keGr@;>SUMÒc>1P?L�BSPHR+>oi9Ï(GI<Hf$ZcCFmïÚ&7¶Ü h <³ÎO:;7�ìMí©GI<?<3Ú�> hSî iKJ/PHGr@;ѶiKGrô[>1PH>1@\<³i h TKEGe@�êoaSa\ë h @;iÓê}aSa��Qæy5,W�f;>9<Hf/G¨d î >1P�d1J/P?uQ>�Ge@Ù<Hf/>+×6BS<v<HBSRÐÒ h @/>1knG¨EO<?f/> h uQ>1P h ÑS>�BML<Hf/>��;uQ>�P?>}d�BSPgiKGe@/ÑQE¶Ý�<Hf/>©<?f;Gr@Ûd�J;P?uQ>oEgæy5nj/PHBSR':=<?>1@/A;B$>�< h k�5(Ý�bS`S`Q`M×6æ�5

keGe@/>S5C¥<.E?f/BSJ;keiÈ×6>ÛEv<?PH>oEHEv>}i¯f/>oP?>�<?f h <+<?f/>!>o@/GrÑQR h >1ÔKd1krJ6EvGeuS>okrT�d1BS@;d1>1PH@;E,<Hf/>Ûð

1keGe@/>SU=@/BS<�ð2

U\Ï(f/Gedgf$G¨E³Ge@\<?PHGr@6EvG¨d h krkeT�ÒcBSk h PHGrñ h ×/ke> h dod�BQPHiKGe@/Ñ©<HB�EF< h @;i h Pgi#õ\J h @\<?J/RR+>}dgf h @/G¨d1EoU h @;i»Ï(f/BQE?>#<?PHGrÒ/ke>�< Q/I

Ò/P?B��;ke>+Ev<?PHJ;d�<?J/PH>$d h @á×c>$Evf/B«Ï(@2<?BÛ×c>.iKJ/><HBÕ>�Ô/d�Gr<?>}i=^¥Ev< h <?> h <?BQR+Ged2Ò6BQk h P?Geñ h <?GeBS@�Ge@èd1BSR9×/Gr@ h <?GeBS@ Ï(GI<Hfè>1ôc>}dy<HE!BSL�Ò h Pv<HG h kL�PH>oõ\J/>o@;d�T#PH>oiKG¨EF<HP?Ge×/JK<HGrBQ@ÛÝ�Ú*�tð©ænGe@$P h iKG h <HGruQ>�<HP h @;EvL�>1PÀÝ�j�keJ/PHG;>1< h k�5�bS`S`� Qæy5�Ú*�tðBQPtP h iKG h <HGruQ>O<HP h @;EvL�>1PtiKB=>oEt@/BM<tf/>okrÒ!L�BQP(<?f;>,ð

1

krGe@/>SU;f/B«Ï�>ouS>oPoU/E?Gr@6d�>©<?f;>1PH>�GeE(@;Bî @/B«Ï(@�Ge@Q<HP?Ge@;E?Ged¶ÒcBSk h PHGrñ h <HGrBQ@.<?f;>1PH>©<?B+P?>}iKG¨EF<HP?Ge×/JK<H>S5W�f;>&@;>�Ô=<Xõ\J/>oEv<?GeBS@#GeE³GILc<?f/G¨E�J/@;E?BSkeuS>}i�R9TKEF<H>1PHT�GeE �FJ6EF<Xd1BS@��;@;>oi�<?B¶<?f/>tE?Òc>od�G h k

d h E?>�BSL;<Hf/>(EvBKiKGeJ/Rð1

krGe@/>Q53NÀkeE?B;USd1BSJ/k¨i�<Hf/>�R+> h E?J/PH>1R+>1@\<gE�×c>(d�BQ@Q< h R+Ge@ h <H>oi,×=TE?BSR+>¶J/@/G¨iK>1@\<HG$�;>}i.×/ke>[email protected]@/>QU=BSP�d�BSJ;kei.<?f/>oP?>O×6>�E?BSR+> h EXTQ>�<�J;@;iKG¨E?d1B«uS>1PH>oi$E?J/×K^<Hkr>©Ge@;Ev<?PHJ/R+>1@\< h k6>1ôc>}dy<�<?f h <&f h E�@/BM<�×6>o>1@ h dod�BSJ;@Q<H>oi+L�BQP���W�f/>}Ev>©õ\J/>oEv<?GeBS@;E&d h @Ï(Gr<?f�ÑSPH> h <�d�BQ@��6iK>o@;d�>¶×c> h @;EvÏ&>1PH>oi+Ge@.<Hf/>¶@/>1Ñ h <?GeuS>QUKEvGe@;d�>À<?f/>©E h R+> h @/BSR h keT+GeEE?>1>o@+L�BSP³R9J/kr<?GeÒ/kr>1<�@/B65;ê(BSL � h�� � USÏ(f/G¨dgf.d�BQ@\< h Ge@;E�<FÏ&B�keGr@/>}E1U h <#�=ëSë � h @;i �Qa� ����UÏ(Gr<?f.<?f/>¶E h R#>OõQJ h @\<?J/RÁ@=J/R�×c>1PgEoUQGe@;d�keJ;iKGe@/Ñ,f=T=Òc>1P!�;@/>ÀEv<?PHJ;dy<HJ/PH>ÀEvÒ;krGr<v<HGr@/Ñ�Ï(GI<Hf@=J;d1kr> h P¶EvÒ/Ge@ =ìMb/U h Et<?f/>+E?B=i/GrJ/R ð

2

h @;iïð1

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1

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2

h @;iïð1

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2

h @6i�ð1

EHd h <v<?>oP?Ge@/Ñ#<?P h @6EvGr<?GeBS@;E(i/B\>}E(@/BS<Ò;k h T h PHBSke>,L�BQPO× h PHGrJ/R!UÖE?B.<?f;>9ð

1

EHd h <v<H>1PHGr@/Ñ�d h @Ù×6>+d�BQ@;EvG¨iK>oP?>}iÛGeE?BSk h <H>oi�L�PHBSR<Hf/>.ð

2

EHd h <v<H>1PHGr@/Ñ65+]�BQR#Ò h PHGr@/Ñ�j3GrÑ\E15�êSê h @6iÓê�b.Ï&>#E?>1> h uS>oP?TïE?GrR+Gek h P©×6>of h u\^

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Page 23:  · E?T=@;dgf/PHBS@=T.Ï(Gr

GeBSP43 h d�>1@\<HP h kXÒcBSk h PHGrñ h <?GeBS@»Òc> hMî E?J/P?PHBSJ;@;iK>oi»×=T»krBKd h kXR+Ge@/GrR h 5!N(dod�BQPHiKGe@/Ñ!<HBEv< h @;i h PHi»õ\J h @\<?J;RÐR+>odgf h @/GedoE1U%<?f/> � h �Qa� ���krGe@/>.E?f/BSJ;kei2f h uS>+ño>1PHB�Ge@\<?PHGr@;E?G¨dÒcBSk h PHGeñ h ×;GrkeGI<FT h @;i©<?f;>1PH>�L�BSPH>�E?f/BQJ/kei,@/BM<�Evf/B«Ï h @=T¶BQ×;E?>1PHu h ×/ke>³Ò6BQk h P?Geñ h <?GeBS@�5�W�f/GeEi/>1R+BS@;Ev<?P h <H>oE�<?f h <tBSJ;P�ð

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