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Discussion Sechin . Thursdays 4pm -5pm .

#

Quantum light aka photons :-

Maxwell 's F. BIO OTE - - af ansthib--

yn:

F. E -- Hq c2JxI=7E+Jk.

--

solve to : E = -FI -HI,D= 8in .

price : A'→ A' ' = I - FX ,{ Et # ' = # + q,→ same E. B .

Note : {A:te=§cA?deGauge fix : choose J - A- = o.-

Vacuum'. e=j=o .

can also choose of -- o.

Ampere : c- JxCJxAT=i= - aidlaia-arn.TT

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compare to ⇐ - via Can = o:

-

- 3d,

- Ust C ,- I isauectnm F. Ft .

III. Fix → Ahn- Effeminate)- j.a-o-sk.EC#= .

"F is transverse".

energy density :-

n = FLEECE)ie H = ⇐ fd3r( E' tips

' )

= Eof Brc tiE€A5)vs : H -- Ef dxfa.tt + video )- -

+#Kx) = EJ¥wTv Canetti he

.)

w

[ au ,'- fan

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Atx) = ,£f¥ww(an.se#iescig-iaIIe-ihxefaig){ Esch ,

5=1,24 OFbasisof transmundane .

.I. Esch)-_O 5^-42 - bij

. Esch) - ETCH ) = fs.si ~÷÷÷÷÷i÷÷÷÷÷÷[ Ais ,

a'E 's . ) -- Shui Sss .

Ea,a) = o - [ at ,

at ) .

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ICE,t7=§Na(ar. . eihi-izte.ci)+h .)p -classically : solh qwaveegn .

lntegrtincrstark if ah -- elk .

qvntrnly : coati- overate !-

E -- -2. A-

- ifNikki.gs?:?gihx-iitB--8xA--qsNaikxfaaseslne'""M

- he. )claim :

H -- Etah Lantana 's ).

cheat -2,7A = HE = [ HE]

76=ilH, =p- a jaHW3

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[ 41×1,acyl ) = ite f Cx -y, #

"Ting [ Aix? EfyDE.it SIX-up fig.

(ta -

- 8¥..

= - E E..)

actually : CA; HI , EjGD= -igtftheihai-5?Same when adnj

( Gj - Ii kj)

on traversevectors .-

--

spectrum : 107 du, ,107=0 tf k

,s .

- " no photons".

Ants to > = I are photos , womenth

- polentatu s)

µ ( b ) -- ⇐ + kwh) ath lo?nas.

Innis ..me. . - --7=9 4th?.io,

Photons are bosons !Ahh !

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at,s, Atms, lo) =/ his. , has >= ants

.ants, lo>

'- Ihs. ,hD

E.

= Etah it.

PHYFEk

H 102=5102 ↳#tzrW(Nili Ri → NfLfRf ) x left H.it/i3P- I LLH ④42ft HL

,pl Li 3*113712

(Rft = plot an lDr= o

l Ri ) = IK , she { fol dat - o .

= 9¥, 107ps .

H,

-- F -team)'

'afp't epA-ieap.ie'tEat Her

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A'fed - Effi eikjaxyuaiteihIn -- hat In .

A'- aa + ata + atat

+Tg

g a at +2-2 -

<ophotml-fltph.tn?=o.+0peikIteikxp=CptKg7eikxa

W×k4l④E4¥azjaIIr④kY-

fkk I

= Kyle ikxki >I 1£01ohh-

tech>.

'- i

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Sfx ) = Jdt NII t e fat ddIfAµCxH)- -

Are ( 8, Ak -LEE + daft

= fdtfn - e faint ten - E )

fdtdf.A-fdx.tt' 'minimal coupling

".

①o=f§× → twerk- free Lau .

@ H = pi - L = Cpt)?

Zm'

mi - e# + Tx 's ) .

in, jx

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H = §, kWh ( at, 9h, + I )win -- chit .

Ttt of photons m I. s. .-

IIE? ¥nEfdihtwCata- ETH f. Awh - I

b-MI e.IT#ipzL3fotkh-wuL ,

I

f- = - ¥Eo④ cosx .

- ltm.SI/dtdxfI(d-c#)fK-d-slc-L - d → I

Ls>DIE: loco) -- 4617=414 .

-

¢ ;= sin Jtf ¥12,3 . . .

w;- the

Matei : d → L - d .

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E-old) = f- Cd ) t fCL -d l

f- Cd ) = It E. , wi = KII III -_£

¥:.÷⇒÷÷÷e