blank.

Recode e. (r,r')= N'Kluth, 4cm )= §(Nail Xicnxilr

' )

Eire FN. Holm#Ilene" No > Ni biggesteel .

BEC : No - ①(N) . e=6t2E .

J,= Fees = End

.Txt

, =o

⇒TIE#o

Re'nt#dh.§iide÷n#hint,lhrg=I4mEayS

Ir -r'Ho / tNe 't

annus→ T ¥.Nikita,

" 't

-. AH -r 't-if

off-DIAWNAL-LRO.iean ostiary solid

visiblediagonal (Ro

in Ncr ) = f. Cry l

-

blank.

[Yang ) : tr = Sp "spur

".

-

Np,Chr 's = Gsl 4th# r 't Igs>

tf = Igsxgslt. - .

→ ages I 4th , lgsxgsl 41rings>t. . .- -

Iter , UIC r 't

I Cri =L 4cm >

particle"

condenses"=expectation valuefor its creation op.

or annihilation

I is like a classical field

the Eeiassiiae' = at Eirika l Z ) = 7- IZ ) .

tower : (Hen , §,#sakes]to. -E' → eid E is not asymmetry .

→ ( E > to breaks no symmetry ( tmesis)

blank.

N = § 444in AuartmNhhn .

.

[ H, N ) -- o .

EN,4→ EH

,UI -- o , = e

i - I

4 → U Hut = e-in adv y

= eit 4 .I1611416> to

→ c 61 U X htt ⑥> = e'"2614163

⇒ utca) # 167 .

ie 047 Eigenvalue by N'

is BROKEN .

#n4h, 1h - parkdesk6- ) = 1h

- I particle ?

blank.

< Only I Q ) = o .

Tang n - pantilestate

⇒lri④r.#ri , - - - - )

ONLY 16 ) = § An IQ ?If= an IQ ) t 9mi, I Gene, )

t ...

( 614167 f- a

#vaiigGUsHhZ-

explicitly breakssyn .

iii. ti:O .nstfu -- - I fddr (4th ) th .c.)

" Paik of particlessource

II. it grunts

blank.

Use grand canonical ensemble#=N

TIN N Tf .N- 1026

.

T.ie#T-L...- ta-s

H -- E. II + EjVH÷÷ )- E. Utri )

what is the gswavefunction Both . - rn)

?

• folk . .VN) = §o( titch ' ' - titch).

• Elr, . - rn) - Eir. .. rn) .

blank.⇐I foil t.q.hn;))§=EE)*⇐I foil t.q.vcriiDEE.EE

"

→ Iot of! does too .

[ tire - reversal

True for all eigenstates.sonnets or H ).

• do has .no nodes , ¥ .

§ (3) = Role,r. . - rn)

suppose otherwise :¥,

blank.

Oh,( 2385,12nA )

'

ERE SfI¥9÷ EP I FIL've ')-

se-

E - IRI . El EI -- E LEI >EEE)

µy,Econtradiction:

ECE ) -- Coile >< 81 E >

°o°? :÷¥onerao. t.oiii.ECwould have arude .

> -- f Him -space requires one to be

negative somewhere!

blank.

• 8. (h . . - rn) =o if It, - hlca .

⇐ repulsive hardcore GV .

''Ii" : '¥config, like :

⇒

÷:*:*.

"!ee §=ef = Fri; )

sen - l÷I÷i¥÷

blank.

SIMILE ANSHI :MFT in free space : single-particle-

Put

⇒ Ecr , = fu Xcrl .

Eli] = LEI HIE )

• Is invariant under IHeidif.cn,• involves at most 2 dewatering

• analytic in ILI 12 .

• local in space

→ Elt) = fddrfrIET-iuluII.lt . . .

I

( la" free"energy

+ es FEI't.FI# )C- a umulajsyefnetni)tf e, >o Y -- const is better

.

Assume Es > o , U >o .

blank.

EMFTEY]

'

.*ii⇒ .

¥tSSI . →"I

" u aiiamehfs ?Tex

blank.1¥- the,n=u.urlet fxicri} ON I - particle wave the .

INIT Iir , .ro ) -- Ihr .)Eiht -- SEIHrithik Uofddrifddrzfdr,-r.) z

NIM.rs))= V. fddrliflr.rs/2--Uofddreir.r?

2 Cases :-

① SALE : Iir,.ro/--XCri1XCh3Eint=Uofddr1XcnlY .

@Different : IM ,m-- X. Cr,lXXgqX,k)E

ein. - uofddrtz.4txinhxdhk-2Uofddrk.ph.

blank.

⇐ tu. §.MN; 12- sijlfddrlxilmilxiinlof

ee Nit : # (Fg? - fi) -- E .@NIN)= VON'

Nio-- N , Ni >o-

- o . Ivo N' (2-D= turf-SIMPLE-

if Uo > O BEC wins .

¥E-

No--Nk ,N,-- Ma , Nis , -0 :'+ tineid

='z Uo . ZN'

.

-