Topics Superconductivity - Homework Solution Set 3 | PHY 242, Assignments of Physics

Material Type: Assignment; Class: Topics Superconductivity; Subject: Physics; University: University of California - Davis; Term: Fall 2004;

Typology: Assignments

Pre 2010

Uploaded on 07/30/2009

koofers-user-joy
koofers-user-joy 🇺🇸

5

(1)

10 documents

1 / 2

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
  !#"$%&' $)(
*,+-/.10,24365879-;:=<?>@<?A8A?B
C CDFEHG)I IJLKNMPO#Q RTSVUWXJLYZOLQ [\Q]K_^J#W8` abIcWdSeWdQ]^fD
gihkjliminporqts6uwvyxks{z}|wvy~Ljkvyu}x?j#zwuwvpzwjLys6|vvyu 


vyuzwjLs{s{kxu}v|vj
fuwvy1u|&s{ts{zw¡uw{yvyu|&s6|wj¢xkh4£¤u}vy~#uZ¥Ps{kvxkqk¦s§|vy{kuL¨;~s{~Lqkys6|jZ|hkj¢kj#kuwv|©£{ªdu|&s6|wjLu
«¬
¯®
%±°
²
¯®³
f
ª´zsN6s{kvyys
vuw{|wzwxkv~µe¥1j#|s{¶·¸uwu}qk¥1j,s{uquwqts{i|whts6|
¹¢¹
º»uw|hkjk{zw¥Ps{u}|s6|j
¼¢½¢n_~s{¿¾j1~Lku}vykj#zwj#|¡¾?j1~L{ku}|s{4|Vvy|hjzwj#vy{À{ª9vy4|j#zwj#u}|ÁV«Â
î
Ä«ÅL¼¡k{|
qku}jgivykÆrhts{¥¡ÇÈu1orqkj#u}|wvyts6¾kyj¥1j#|h¤/ÊÉ˪Z£qÌ|hvykÆp|hkvu1xzw¾kjL¥Ívyu|;_uwv¥Pxkj{¨X£{q/ÇÈ{j
xkz}¾ts{¾£ckj¢v|z}vyh4|XÎ,s{Æ{jeszs6xkh=6ª«e¬
¯®
9µjLzZs{=s{xkxkz}xkz}v¦s6|wjL£P~&hku}jL=zwjL{vy/
Ï/ÐѯÒÓµÔ¯ÐÕ%Ö n¤vk~Lj¢¢kjLxjLkuZ,×ck£|hzwqk{h¡L¢
®
³ÊØ
¨¤Ù9j~s{xkz}¤~#jLj#Ns{u
«¬
î
%
°
Ú²
îX³
µ%
°
Ú²¤Û
®X³
LÝÜ?ßÞ)à«Â
4
²¤Û
®X³
r©Ü
Þà4«Â
4âá
ã¦äÝå
䩿
ã
²
³
¯®
wç
á
Ùhkj#zwj
î
ès{z}j|whkuwj%6s{yqj{ªZª´zéÙhkv~&h|hjs{z}qk¥1jL4|d6ªk|hkjz}vyvts{
²ê
ª´qk~#|ve6s{vyuwhjL/Á
,ëì
®w³
µídî
ïÙ¢¨dàrVð{à,ñrð{1¨ds6k|hjPk{zw¥Ps{%u}|&s§|jjLku}v|©£p{ªiu|&s6|wjLuV«¢Â
rvyu
~#ku}|s{4|fvy|hkj¢z}jLv{ªdv4|jLz}jLu|¨tuw
«¬
î
%ò«
Ãó
V
ã ôöõ
å
ß«
Ãó
®
ì
®w³
í ¶÷
î
{|j|hts6|è|hj9z}vyvts{
²ê
ª´qk~#|vj#j#zdÙ9s{uduws6|vu}øtj#Vvª
ã
®
ã
¹ù
¨{u}]«¬
î
èvyuèúLj#zw¸ª´{z
ã
®
ã
¹ù
s{|whkvyujûxzwjLu}uwv,k;jLuk6|fs{xkxk£
á
pf2

Partial preview of the text

Download Topics Superconductivity - Homework Solution Set 3 | PHY 242 and more Assignments Physics in PDF only on Docsity!

*,+-/.10,24365879-;:=<?>@<?A8A?B

C CDFEHG)I IJLKNMPO#Q RTSVUWXJLYZOLQ [\Q]K_^J#W8` abIcWdSeWdQ]^fD

gihkjliminporqts6uwvyxks{z}|wvy~L€jkvyu}x?j#zwuwv€‚„ƒpzwjLys6| v€‚„ƒ†vyuˆ‡Š‰‹Œ Ž„‰’‘ “ (^) ‘ vyuˆzwjLs{”s{ƒk•x–‚„u}v€| v˜—„jš™œ› fuwvyƒŸž1u |&s{ƒŸts{zw¡uw‚{yvyu |&s6|wj¢xkh4£¤u}vy~#uZ¥Ps{ƒkv€xkqk¦s§| vy‚{ƒkuL¨;~šs{€~Lqkys6| jZ| hkj¢kj#ƒkuwv˜|©£‚{ªdu |&s6|wjLu

«¬ “¯® ™%‹±° ‰ ²

¯®”³ ‡f‰š™

ª´‚„zsN—6s{ƒkv€yys (^) “v€uw‚{|wzw‚„xkv€~μ™e¥1j#| s{¶›•·¸uwu}qk¥1j,s{uqŸuwqts{i|whts6| (^) ‘ ¹¢¹ ‡Šº»uw‚†| hkjƒk‚{zw¥Ps{ u}| s6| j ¼¢½¢n_~šs{ƒ¿¾–j1~L‚„ƒku}vykj#zwj#•| ‚¡¾?j1~L‚{ƒku}| s{ƒ4|Vvyƒ†| hŸjzwj#ž„vy‚{ƒÀ‚{ª9vyƒ4| j#zwj#u}|šÁV«ˆÂ “î ™ˆ‹Ä«ÅL›¼‚¡ƒk‚{| qku}jgivyƒkÆrhts{¥¡ÇÈu1orqkj#u}|wvy‚„ƒts6¾kyj¥1j#| hŸ‚¤/›ÊÉ˪Z£„‚„qÌ| hŸvyƒkÆp| hkv€u1xŸzw‚„¾k€jL¥Ívyu| ‚;‚_uwv€¥Pxk€j{¨X£„‚{q/Çȗ{j xkz}‚„¾ts{¾Ÿ€£cŸ‚„ƒkj¢v€|Šz}vyž„h4|š›XÎ,s{Æ{jesž„z s6xkh=‚6ª«e¬ (^) “¯® ™9‚μ—„jLzZs{ƒ=s{xkxkz}‚„xkz}v¦s6|wjL€£P~&hk‚„u}jLƒ=zwjLž{vy‚„ƒ/› Ï/ЖѯÒÓμԯЖÕ%Ö n¤v€ƒk~Lj¢‡Š‰¢kjLx–jLƒkŸuZ‚„ƒ,×c‚„ƒk˜£| hŸzw‚„qkž{h¡ŽL‰¢‹ ®‰ ³ÊØ ¨¤Ù9jˆ~šs{ƒxkz}‚¤~#jLj#Ns{u

«¬ “î ™%‹ °

Ú²

îX³ ‡Š‰μ™%‹^ ° ‰ Ú²¤Û

X³ ‡ “Žš‰L™ÝÜ?‹ßÞ)à„Ž„«ˆÂ^ “Ž4™^ ² ¤Û

X³ ‡ “Žr™©Ü

‹ Þ à4Ž„«ˆÂ (^) “Ž4™âá ã¦äÝå 䩿

ã ²

¯® ™w™^ ç “ á

يhkj#zwj”Ž “î ™ès{z}j|whk‚„uwj%—6s{yqŸj‚{ªŸŽZª´‚„zéيhkv€~&h| hŸj s{z}ž„qk¥1jLƒ4|d‚6ªk| hkj”‚„z}vyž„v€ƒts{ ² šê

´qkƒŸ~#| v€‚„ƒe—6s{ƒŸvyuwhŸjL/Á Ž,‹ëì (^) ®w”³ (^) ‘ μídî ‚ïÙ¢¨dàr‡Vð{à„Ž,‹ñŽrð{‡1¨ds6ƒk•| hŸjPƒk‚{zw¥Ps{%u}|&s§| jŸjLƒku}v€|©£p‚{ªiu |&s6|wjLuV«¢Â (^) “Žr™vyu ~#‚„ƒku}| s{ƒ4|fvyƒ| hkj¢z}jLž„v€‚„ƒ‚{ªdv€ƒ4| jLz}jLu |š¨tuw‚

«¬ “î ™%‹ò« “Ãó ™

ã ô öõ å (^) ‹ß« “Ãó ™

ì ® w”³ (^) ‘ 

í “ ¶÷ ™

î ‚{| j”| hts6|è| hŸj9‚„z}vyž„v€ƒts{^ ² šê

´qkƒŸ~#| v€‚„ƒƒŸj#—„j#zdÙ9s{uduws6| v€u}øtj#Vv€ª ã® ã ¹ù‘ ¨{u}‚]«¬ (^) “î ™èvyuèúLj#zw‚¸ª´‚{z ã®ã ¹ù‘ s{ƒŸ|whkvyuŠj ûŸxŸzwjLu}uwv€‚„ƒ,k‚;jLuŠƒk‚6|fs{xkxk˜£„›

á

üüDF[\Jš^ý•Q]U%^J#aPK þHQ]OLSeWJLa1K’D

ÿXy‚6| | hkj¢l minkv€uwx–jLz}uwvy‚{ƒzwjLys6| v€‚„ƒ‡Š‰—;uL›× “ž„v˜—„jLƒ¡s{¾–‚μ—„jš™ s{ž4s6vyƒ/¨;~&hk‚;‚„uwjˆs{xkxŸzw‚„xkz}v¦s6|wj]s§û¤vyu kv€¥Pj#ƒkuwv€‚„ƒku#›É©ƒ4| jLz}xkzwjœ|Z|whkj¢zwj#uwqk˜|š› Ï/ЖѯÒÓμԯЖÕ%Ö

−0.5 −0.3 −0.1 0.1 0.3 0. k−kF

0

1

2

3

+E(k)

E(k) vs. k−kF Quasiparticle dispersion

 dv€ž„qkz}j á

Á_gihkj,~#qkz}—{jLu~L‚{zwzwj#uwx–‚„ƒkkv€ƒkž•|w‚À| hŸj,orqts{u}vyxts{z | v€~Lyj¡kv€uwx–jLzwu}vy‚„ƒ’zwj#¦s6|wvy‚„ƒku1‡ (^) “×k™‹

 Œ މ9 ‘ “^ ™œ¨Ÿª´‚{z^ gf‹^ ó=“^ | ‚„x~#qkz}—{jμ™^ | ‚gf‹g^ “¾–‚{|w|w‚„¥~#qkz}—{jμ™^ vyƒc|wjLƒjLorqts{/|wjL¥1x?j#z s6|wqkzwj u| jLxŸuL›·¸ƒÊs6xkxkzw‚šû¤vy¥Ps6|wj1j û¤xkzwj#uwuwv€‚„ƒ (^) ‘ “ ™ˆ‹\Œ á

(^) ³ò“ ð  ™ Ù9s{uqŸuwjL8›=É©ƒpيhts6|Vv€u¢~šs{€yjL |whkj    œ¨ |whkjLz}jNvyuPs{ƒk‚{|whkjLzP~Lqkz —„jNu £;¥P¥1j#|wzwvy~Ls{y˜£¿xkys{~Lj#ùs{z}‚„qkƒk"!”‹ ó › ·Z~#| qks{y˜£„¨ jLv˜| hkj#z$#}¥1‚„u}|w€£j#yj#~#| z}‚„ƒ&%corqts6uwvyxks{z}|wvy~L€jLuf‚„z'#}¥P‚{u}| ˜£hk‚„€j(%Po;qks{uwv€xts{z}|wvy~#yjLufhtsš—„jVs x–‚„vyu}v€|wv€—„j¸jLƒkj#zwž{£{¨t¾kqŸ|fv€|Šv€ui~L‚„¥1¥P‚{ƒc| ‚xkvy~œ| qkz}jˆs)  +,- /.0 ž4s6x/›

½ƒ|whkvyuiu}~šs{€j]| hkj¢ƒk‚„z}¥s68u}| s6| j¢kv€uwx–jLz}uwvy‚{ƒ=z}jL¦s§| vy‚{ƒcvyui€vyƒkjLs{zLÁ

Žš‰f‹ 21

3

×

÷

54

1

×

6 ÷ 54

21

3

×

×

„ºé™ (^) “× ³ ׄºé™ ÷ 54 7

×

4

×

×

„º™ (^) í

gihkjxky‚{|ZuwhŸ‚ïيu (^)  Œ Ž{‰ (^)  ‘  “ ™›¸gihkjVž4s{x (^) “ÙŠhkvy~&h,vyu¸hks{€ª%‚{ªd| hkjVu}qkx–jLzw~#‚„ƒkkqŸ~#| v€ƒkžž4s{xt™fvyu |whkjZ—6s{€qkjZ‚6ª‡f‰¸s6| ×P‹ß×4ºd¨;يhkv€~&hcvyu (^) ‘ “ ™œ›É©ƒP| hkv€uÆrvyƒŸc‚{ª/øtž{qkzwjfيv€| hc‡f‰Zs{€Ù9sš£;u x?‚{uwv€|wv€—{j{¨ |whkj¢o;qks{uwv€hk‚„yj#u (^) “× ¹ ׄº™9htsš—{jex–‚„uwv˜| v˜—„j]jLƒŸjLzwž6£ 98 }qku}|fyv€Æ{j¸|whkjˆo;qks{uwv€jLyj#~#|wzw‚„ƒku (^) “×$:ù×4º/™œ›

÷