blank.

Casimir Effect , Con 't 'd :

#=lold) = 44=0 .

scalar in Ld . e

- loan sinatix ko . -- IIk c- d → A- L -d→ H

Eo (d) → F = - Id Eld)

(ol E lo ) = Coif. - - ( a-at ) Ino >=?-

-

Lol E? 107 ¥0 .

#

⇒ So E =/ Lol ET lo ) -@olEhlo5Tt-0EooTdfdtfCL-d7fld1-tqhwh-IaItcFEj.n. .

Wh --

C Hel -- c -2¥

Declare: w; > AI ni

"

land .

"

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fld) fla .d1=t§, je- 4¥

§ii÷⇒E÷_t÷E.ie#---ThzI2a(jIe-aIlI

=

eatl -e

-914

ad IT '

"Etcc :* - Eun."÷a⇒- - -

Fatso→o

as a -10

f- = - 2dEo= - (flat - f' (Ldl)= - tick 'Iz+¥F+oca'D -Eta. itocao)

& e

a- the F

zy( tan- Lap)

I'd ⇐

'¥nLH6cE )) ¥"

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Malthus In thdis : t

Ea=P=ah¥ .

€claim : .

A -- 44

- PBC in x.y .

I -- ("II , "t , he )

"HyC- 21 .

- perfect andvctor : -Ex,yG=aZ=L)=0 . ⇐+ conductor) .

no

ifke : Etz cone potentate ) -

if keto: E L sik ZONE n= 1,2 .

. -

kz=2tI & potentates )L .

Walk ) = c JEE n -- 0,112 .

Foul - Elz win)E- '

÷.. :* .

.

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1.5 Identical particles-

In phg.tn#nsmIg > = Cat"

yo >prm ut

p( ha , ha . -- kin) PCH,4t, kHz - - - Kang)A> An Aa

,Aitz Aah

Te Sn pesnwtatn( 1.2 . . h ) → ( IT , Tz - - - Ith )A = single- particle labels .

PCA . . - - tn) = 14cm .. -Anil

=D 41A , . . - An ? = eid 4th , - - - Ann )zd quantized :

Tutti . . -An ) -- LAI - - - Ah It >-

= Lol AA, . . - aah I I>if÷:¥÷÷..

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YIASA , . . - An ) = £041A. Az - - - A. ) need.

YCA, Ae. . - An ) = a' 41A, Az . -- Aa )

⇒ 92=1 =3 9- ,

a = -11 Bosons a = - i fermions .

#

µ⑦AN . erwgh.mg 'I'EmerI translate -

Path Integral Z=fGaths7eiEpath#÷.ie "es*

I think!¥÷÷¥7seHarz ,x,7= eioycx.pe ) .

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if I difenete stats y n particles F- '-D

l Azaz . - - Ano> = troll A , Ar . . -Ano '?• e-

I[ V.V I to →non - abehiu

4 anyone .

Emmingere : '÷÷÷÷÷÷÷÷

.

Zeromodes#

IYA , . . . An) = EB (hi , - - -Attn )

Elect, . . An)=HFIe(Ai , - - - Ann )w

- l for odd permutations. = odd A- of 2-particle

I 123→ 213 is .

oddexchanges

123-3231 I even .

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MBTI c HEON H D= dim H,

.

-

FTH) - 15 M -

- span11AM-

A-i.isdim Up = (7)= NYI.nl! . ef : = sealer. . .. is

*:*.

dim -

- 97%3,2, --fi") ←

dim N, t dinHe £, DN

a÷÷¥÷:÷.→ LABBE II), ④ 12211135,④ LAZI grained Pov :( Q.it#nypmts

(Newspeak) in.?i, 7%17?

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AB

Ifpyplx, ,K ) = Grill A. B)xp= Yak, )U.BR) # 4g HACKL

<XIA> = Unix) I - pantile warmth .

ABC" Slater

N : Yeh , = det M determinant"

UAH , ) UA (Xz l YA (Xs )" I ::i:: ::c:: :c :::)del-M = € C-HIM, it , those

. - - Mn.tn~

⇒ r¥ xzxr) = § Mio - - - Moran

= per IM ) .

"

permanent"

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\ §ne¥

taxi -- ¥i¥÷¥mei go.⇒San -

- fmk 't . . . n

-4Cx, xn -- i tCK . x, I .

Berry 's phase .

blank.t*÷÷a÷÷a¥÷¥.

,

Tatum>

hilt.LNI m⇒t¥-