btxk.ie?=tfepnp--blank. (el bptbgtbg.bp.ie= fpgfpjfgg c 7oz = rip in p-t)+ (t-tpq)...

12
blank. 147 = t btu , I . . . Lot can I o > FL ! T B G. rig , y ' ) = < 41 txt txt by by . he > =tGycxmlG×HyI#GyCx , y 't Get x : y ) - - - g ni enfant an Uf ex 's 4.41464 . no Wick ! - - - Pair correlation for ( pinks ) bosons in free space : -1 E 7 = / hp . n p . . - - ) = tbh . . . . go > Fpo ! m pcx , = s I l btxk.IE?=tfEpnp-- h . Pair correlate : rig , ex - g) = LEI btxbyt by II ? = f- ppfgg , e' " P - " ' " " 9- my < El bptbgtbg.bp.lk

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Page 1: btxk.IE?=tfEpnp--blank. (El bptbgtbg.bp.IE= fpgfpjfgg C 7oz = rip in p-t)+ (t-tpq) Sppifqgisbptbgtbrbq?Fina + Cl-fpg)fpgifqp s bptbgtbgbp? = t-fest (Lpgfggitfpqfgp) npng-nine+ fpgfpp

blank.

147 =t btu, I . . . Lot can I o>FL! T

BG. rig, y ' ) = < 41 txt txt by by . he >=tGycxmlG×HyI#GyCx , y 't Get x : y )--

- g ni enfantan Uf ex's 4.41464

.

no Wick !-- -

Pair correlation for (pinks ) bosons in free space :

-1E7 = / hp. n p . . - - ) = tbh. . . . go>

Fpo !

m pcx , =s I l btxk.IE?=tfEpnp-- h .

Pair correlate :

rig, ex-g) = LEI btxbyt by ↳ II ?= f- ppfgg , e'

"P-" '""9-my<El bptbgtbg.bp.lk

Page 2: btxk.IE?=tfEpnp--blank. (El bptbgtbg.bp.IE= fpgfpjfgg C 7oz = rip in p-t)+ (t-tpq) Sppifqgisbptbgtbrbq?Fina + Cl-fpg)fpgifqp s bptbgtbgbp? = t-fest (Lpgfggitfpqfgp) npng-nine+ fpgfpp

blank.(El bptbgtbg.bp.IE = fpgfpjfgg , C 7oz

= rip in p - t )

+ ( t-tpq) Sppifqgisbptbgtbrbq?Fina+ Cl-fpg) fpgifqp'

s bptbgtbgbp ?-

= t -fest ( Lpgfggitfpqfgp .) npng-- nine

+ fpgfpp ' fgg , n p (np -i )=@ppl fqq ' tfpqfgpi) NpNq + fpgfppfqqif-2hpxnplnp.it)= ~

nptil

→ rigs Cx-y) =

f. (Gnr G ng t Epnpe" P " qngeti"

~

N - Ep n p (np ti )

= n't l T f np e

-ir""f- tpqnphpx

Page 3: btxk.IE?=tfEpnp--blank. (El bptbgtbg.bp.IE= fpgfpjfgg C 7oz = rip in p-t)+ (t-tpq) Sppifqgisbptbgtbrbq?Fina + Cl-fpg)fpgifqp s bptbgtbgbp? = t-fest (Lpgfggitfpqfgp) npng-nine+ fpgfpp

blank.

YI 1015=1%7 = Mpo -- N>

→ ni gpcx - y )-- n't n

'-NorthJ2

= Nh o n'

-

fixinghe %

"

thermodynamic limit".

12 : A beach of -particles

np= c e

-- c p -pot

n = fatpnp → c = Ccn,a)

glx-yktnafn-lfdpnpe.ir"" ))

ga-n-

f= I + e

- "'%.

← clumping !I-1-HAI

Page 4: btxk.IE?=tfEpnp--blank. (El bptbgtbg.bp.IE= fpgfpjfgg C 7oz = rip in p-t)+ (t-tpq) Sppifqgisbptbgtbrbq?Fina + Cl-fpg)fpgifqp s bptbgtbgbp? = t-fest (Lpgfggitfpqfgp) npng-nine+ fpgfpp

[email protected] .

I a distantstar

.

• A teamster . ( half-ns.if.ueremd )

• Tho detective.

Recipe mightD2±hhw )1- t

±mdlhm v

f- t TD l

Ift Izatt) - Prob 711114,7771¥-

I.IT = fdt ICHI,Ctu)= III gs = he-4¥

Page 5: btxk.IE?=tfEpnp--blank. (El bptbgtbg.bp.IE= fpgfpjfgg C 7oz = rip in p-t)+ (t-tpq) Sppifqgisbptbgtbrbq?Fina + Cl-fpg)fpgifqp s bptbgtbgbp? = t-fest (Lpgfggitfpqfgp) npng-nine+ fpgfpp

blank.

wlyi light 5 a beam of bosons .T

SAD 2¥72DI

③D2-EFE

tate = a,e'

'ha - Ta+ p, e-iko.rs

Aatz = azeikAKB-pzeihs.rs.

Li, fi have phases

=3 I = pi = O .

(But atx # O.)

T-i-ini-lt-atif-KT-lplizkeakpeilkB.rs- hiring)IT = kit Ipf .

Page 6: btxk.IE?=tfEpnp--blank. (El bptbgtbg.bp.IE= fpgfpjfgg C 7oz = rip in p-t)+ (t-tpq) Sppifqgisbptbgtbrbq?Fina + Cl-fpg)fpgifqp s bptbgtbgbp? = t-fest (Lpgfggitfpqfgp) npng-nine+ fpgfpp

blank.

I.Iz = It.AZ/2--/a2eikAiHA+reA)+p2eihnCri$tko)←pahEnefunA FEB

+ Lp (eihairiatikokqeiketistihn.ru) (Z

--

A→ 1 A → l

B →2 B12

IIT -_ 144-1414+ Kpp (eihthn-tikksteihsrnxih.ru/--ITIt2kilpTas(kgHe-ke)

rn. -naans.ru

-Kaka - had=r

I I. IT -1214492 ask.z-kn.lv)

Page 7: btxk.IE?=tfEpnp--blank. (El bptbgtbg.bp.IE= fpgfpjfgg C 7oz = rip in p-t)+ (t-tpq) Sppifqgisbptbgtbrbq?Fina + Cl-fpg)fpgifqp s bptbgtbgbp? = t-fest (Lpgfggitfpqfgp) npng-nine+ fpgfpp

blank.

Support Kul =c e

-HI'

-141-

= ifdkafdh. e-"Ken?- a hi

¥5( z + Re e

ilks- ka) 'r)= I t e

-%.

pay

• Intent : sass → r

= It /fd3rph- r 12

~→ How BIG is the

source .

as : Hanbury - Broun &Twiss

Bayern review article .

-

Page 8: btxk.IE?=tfEpnp--blank. (El bptbgtbg.bp.IE= fpgfpjfgg C 7oz = rip in p-t)+ (t-tpq) Sppifqgisbptbgtbrbq?Fina + Cl-fpg)fpgifqp s bptbgtbgbp? = t-fest (Lpgfggitfpqfgp) npng-nine+ fpgfpp

blank.

I 2. z > ¥wm£ 12,074/0,27•→ 00 "

Hong - ou -Mandel¥1 effect ."

12,0 ) → 120 ) +2/117+10,2>

10,2 )→ 12,07 -411

) t 102>

(check my signs ! )

-2.

Hand Problems-

⇐ AsimpkmafhetD= ¥, Nya Ha - span { 143,14>1

2- It> = IT? 3×147=117III.{ zits = -H> Xlt > - IT?

- A- ④ A . . -④Xxott . . - - - ④Itthexth site

Page 9: btxk.IE?=tfEpnp--blank. (El bptbgtbg.bp.IE= fpgfpjfgg C 7oz = rip in p-t)+ (t-tpq) Sppifqgisbptbgtbrbq?Fina + Cl-fpg)fpgifqp s bptbgtbgbp? = t-fest (Lpgfggitfpqfgp) npng-nine+ fpgfpp

blank.

Jf = Span { 197×0 - - -④ lov > oi. .r=Tnd}II r , or . .

- of >

X. 19 . - 87 = Ir, - . . E . . - or >

( T=t , I=P . )

flh=Io#tadwIt > =/ 17=18 >

Oort Sf

tix In! . - nu> = nx In , . . - nu

of -=ICXx±iY×) s' Hoot)

createsAnnihilates a particle atx .

Lt§I 72=0 .

" fermionic"

.

hwd#T-1107=11 ) . 5+117=0 .

But [ oi , of ] -0 for x*y .→ is is [ Xx ,ZyI=o .Bosons different sites

Page 10: btxk.IE?=tfEpnp--blank. (El bptbgtbg.bp.IE= fpgfpjfgg C 7oz = rip in p-t)+ (t-tpq) Sppifqgisbptbgtbrbq?Fina + Cl-fpg)fpgifqp s bptbgtbgbp? = t-fest (Lpgfggitfpqfgp) npng-nine+ fpgfpp

blank.

Warnings ① even Hguadratic in r't b's taste.

② H doesn't conserve §nx particle # .

T.EE//.#/T( insulating magnet )# Cxy> = a

[email protected], )-

--

like E. F f ferromagneticcoupling in # .

Y E=IgJ n

" transverse"to Z .

Competition : Xjl -7=1-23 .

I → 7; = ¥ ( ITI + It>t. .E -Zjzjtilt;tj+ , > = - IT;D.?§

- Zizi , It;t;+D= - ltititi ) .

Page 11: btxk.IE?=tfEpnp--blank. (El bptbgtbg.bp.IE= fpgfpjfgg C 7oz = rip in p-t)+ (t-tpq) Sppifqgisbptbgtbrbq?Fina + Cl-fpg)fpgifqp s bptbgtbgbp? = t-fest (Lpgfggitfpqfgp) npng-nine+ fpgfpp

blank.

alt ; ,> + bltjtj.ci) has oral. - I

for - Z;Ziti .

-

Compromise : H boring If.no?XjtaosofZ;)

H,ioxxasoz) a c- so, z)

hes g. s . to> = ask It> +sink It> .

It, - 19×1--17

0=0 0=712

Spinney : model has a symmetryS - III Sloirv )

=/ I. . . .I>

Kii. ÷¥⇐niiz2h : SIA . (XI=A#

Page 12: btxk.IE?=tfEpnp--blank. (El bptbgtbg.bp.IE= fpgfpjfgg C 7oz = rip in p-t)+ (t-tpq) Sppifqgisbptbgtbrbq?Fina + Cl-fpg)fpgifqp s bptbgtbgbp? = t-fest (Lpgfggitfpqfgp) npng-nine+ fpgfpp

blank.

[ Htfim,8) =o .

-

n#IIT . - - t> ⇒ SS( →→ → → -7It . . - 47

SIT . .- t ) Sh .

. - -

→ 7

= It . - - 17 =/- . . -→ 7

.

zgmndrtale.IS are grandstand

→ no compromise .