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고급물리학II 강&i

고급물리학II 강&i

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Unformatted text preview: ’1} 9H , —>ac q5—7 Lorentz = q i, 47T€0 7“ t: t+mc A2? : A/ZO KHZ, t f +Ut / $2 2 (E B) e 19’: ‘1 e” 1—” ’ 47reo 7/2 EzvxZ’ Bi : ajAk—akAj :AkiFAjik 3 FM 2—ij }FW =AW—AW Et' :_ 3¢¢+8tAi : Fit _ A’ ’ FW — LM LV" FA/pr Flo : LIA/LOpIFXp, : [AA/Lop, Fi’o’ : L1 5L0 0IFi’0 + L1 OILoiIFOi’ 1’ 1’ a ( '7 _'W): LllLIO _" —7v 7 L01L00 1/ f / $0 1 f =< v w) OE, w, 7 It i x’“ = L“, 35" p * Bjorlean—Prell Notations X”E (twayaz) E ($0M) XM = (t,—ac,— y,— z) = ($0,551) 1 / V —1 77WZ77M = _1 —1 dXMdXM = (dt)2 — d7(- d3; d5? d5 = (1 — 102 dt PM; (EPWPWPZ) = (120,121) —> PMPM 2 E2— P2: m3 X- PZXMP”=? (t,— x,— y,— z) - (E,P$,Py,PZ) = tE— $109; — yPy— 3P2 =tE—ac '_)P_) =fi(tw—ac - k) L> gtg ex) cos(tw’w - k) A“; (¢,A$,Ay,AZ) = ($714) 2 (AR/11') (A1=(—1)A$) Ft”: a”A’”— am V: AW— A W Written By opt? / Edited By 3+th _ 1 _ <Efi> 1 1' 6A Show that F): E where 1472—qu—E 6A .. FflllzaAO—aOAlz 6—q5— fipazgk 655 at XM_> un :FMV “=quAFA" a A: dummy index, pi NE 5:! fM =quprM M : free index flfi = quiFM-fiF: q(E—l— v>< B) * Charge Conservation t1\‘m_o_ 0 2 Q=q1+Q2 ‘kg’OiiAiei and :‘ gal? ”'9' 30““ End “9" gl'gol ”Hm charge7|- $35-5le Bl'CEl Consen/ationOflE Global conservation, local conservation0| 91th {Global : éill’il em; Hem a. (EtiE ear; a.) Local : EIH 7g¢01|k| E—‘E— E—ff—EIOlOF 6.2+. ”SEH’ES' OIEOll/K‘IE local conservation0| again GlobalE gm gift}, 6p ? L, 7*: . at V '7 I00int ChargeOlOF Ellil- El7|7l 91': 7&0 lE EEOI dialli- gEHJgOllk-IE point particle! (rigid body X) but, charge7i ECLIE'E OiiLiWi EQEHW EIOl EEOIEl. ElOJEJ %0| field 7HE‘% E°i=l5l0=l ’é‘mgl'xl'il OlElEl EEOIQ .J‘JOI 5aH 715' Big Oil—I'll- |_ 0P5! QEHE’EEI EXUIQQI ELE(foundation)0| JSEIEIII E’s-“RIC l. * Field Energy 8L Momentum qu (density: flow) a —:—1:=V - S+E~ j 2 2 u=¥, SzExB: Poynting Vector; E- j : Energy loss; dd—ZVzE- qv pf) Maxwell Eqs j=V><B—% EHO' au BE 6 E2 —E—V ' S—E' (VXB—E)—E' (VXB)—g(7) Written By O|7|-ol / Edited By 0H=H CEILI lfigalifll ¢g+g 1mg v- (BXE)=E(VXB)—B- (VXE) E g: (A - (BX C)=B- (OX/l): 0- (AXBP—l DIE-’51 éEOH/H Eg MOIEH au 6 E2 —E—V S—V'(B><E)+B' (VXE)—E(T) 63 a E2 ——V (EXBH'B (_E)_E(T) B2 E2 =—v (Em—2 + > E) 2 2 2 u: B +E , S=E><B ”2%(13. E+C2B' B), S=cE><Bi Energy Flow mm 19sz E7219, S: 019% S Intensity : <S>M = 0<E2>M B u=%(E2+E2)=E2 <u>w = <E2>M Intensity = c - <u>w = h$© I Slow charging @ SZEXB 2 _ 2 1 2 fl_ 2 d_E U—(m h)(2E ), dt —(m h)(E dt) —) —) aés a B- dl=— 8t dE fi) — 2— 27TaB— 27m dt —> —> a 6E IEXBI— 3E? gm X27rah a S: 7Ta2hE' 3—1: 0 - <E2>M Written By oprfid / Edited By 3+th LEW” 5%“.2 41%: * Energy and Momentum Field has Energy 8t Momentum. 505” u 5' Energy: u ; S EI|IILfi . .t _ .70 .7 u: T” W density; fl — V 1/CZOI7‘IPJlOIE§ — T” - Tensor 91': 1110 T'ij Momentum : g ; ? density; flow - 1 - 1 T10; _T01 (—2 1) 02 02 7|E7£12§ enerngl flow = momentqul density a TW7|- EH75|7£10|EE W 5— T01- m U o—> N g: T10 '39 NEE} Eglfifi'ét Otllilllfié = (Ext—15) X (Gill—17H) 771002 =Nv>< 2 ’U 1— _ 02 at? $E|2| eee — (mm x (%%%t) m0” 1 ___ :N 2 =7><(OiI|—‘|X|2% C 1—142 0 light Gill—txléég UELTi sing, EPQrI/Kllh militate eee p: E C i momentum density p 1 : —: _ U 9 c 02 _ 4 _ Written By opt? / Edited By gttggi ...
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