awr y'* - physik.lmu.de · 4.= k,;. 4't + t,,+/, s f. 2/^ t"v;/ < t+v,/,'-,...

13
WnJvL"t* L ( r*rd tq"", ^ t':e ) /r y.9.. L*4h*, ?,{ &'Ll"l'n- f-"1.Ctr.^rty;fe ,44. $;"rf l,,'rt-', *,/. .l/,rr, 1v'' f^V.?t E)., .1./ E-f'c L R. 74e,we L (n"t) Al= X dt(eY) v G ? : ? = .*r. e + awr J rt , E = t)'- x' Y'*" A Y'o'.'' .14 C

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WnJvL"t*

L

( r*rd tq"", ̂ t':e )

/r y.9.. L*4h*,

?,{ &'Ll"l'n-

f-"1.Ctr.^rty;fe,44. $;"rf l,,'rt-',

*,/. .l/,rr,

1v'' f^V.?t

E)., .1./ E-f'c

L R. 74e,we

L (n"t)

A l =

X

dt(eY)vG?

: ?= .*r. e +

awr

J

rt,

E =

t ) ' - x '

Y'*"A

Y'o ' . ' '

.14 C

Eu 1r- e,h coh,- //""*tr,.'Jf

l,hl trlh,tuL,yJ*. :

G'J-.0a{<

* . r a , 1 F l

A ä . - l

v n t v 2 , I / t'1 ,\ -\a r , ? r , a

Ja'rota' aY ,

/,Gnou,

r y =J

/ n , .

\ . J

Z- 4t;1'= - ,

A

l/t

' / ? . =.< .-z / 2 ' =r

7.*-l

c '

2 * . i = i l . t 6r**,{,

Lh (.L, 4* uy'l)

44ln

?,SJ-*p,.*,)t .& .Lu^"t {.U*

fu"I" 7 ttlrt" 1..'

.*r,a ? .*ra f ..,

t tt r'.y,*" rt/' f/.-;"ftß/ :I

J,,a: ---

olt A

f"ü

J;.6t, -L' olt

- / 2J.^ aÄ

r'u-T.r.,,O r^tt ""4, 47, *i'

F = /,1 ;,

W,z4+ a'*.< *'{}^' lL/

'tuf ,-vn lf '.{,

'

!^. .!f

o*'t g.[r.."t 4r{/ n'u( ,r, .4 u,i;n,

# J, yt*.{,,./(orc uer':.p/.

/ .^ ,//*^y,/*,

3v

fr 7ß -'^ *.r7uud,o{" k *,a^Jr-7r/*-,

Jo' s*sryb-L-r4"

(/"t*r'1.."^1 (sr- tz,{.*.;

w2 *,.-rs = o

t " ' t s

r y - r y . .*w. a

4t-(s

.n ,Z , nr i .& . t & z

)^r(*,,*,J !^^,; [ = (r.*r.*

,G ctJJ,:t7 r:,,u, {-f

n " - t t

)

4 . =K,;.

4't + t

,,+/, s f. 2/^ t"V;/ < T+V,/,'-,

4

J-?

v t (ar64E/4,

4 li * " 2

. l . t ?t ' , ) , t ^ r ( q r tz )

r \ 4 ?* z Y ' ) + f ( ^ , ( * , ) v s

n, vr t ) ' ry

n ^ ( \ r *

( ̂ , r,1

( -" r.,

Ln|-rn4 ,hr^, glnx'

(

! a'&' J* l):''-.,t'hrUr(*p .4 9f*,

,rr^t{r#W

L= z

4E o

+

t,r f.),,

*.? ,,{t*. . h+f,|<

A. ;.t', l.n rtwot\4

Grr'.^{*^r*

(r,, = O tzt'f ' - f $

t' Tn on,, (. /,b- t h *7 lcü t

* t l n - r ' I

A

,rte 2,;. A-

Ä. ;.t", l.n t-

-, b -

lin,C

"1';t t , r '

-bu|;"^- ^ /, o'^'", ,4/*Ey{r-,.t

- . 1 - r

t 2 n r ( 4 . 4 )

= O

-ln|;,"P"y's Jt-

? : *'. (ä ri)

i,)

.Y< i - s {= 1-" f 'a t t

J

Lo= 2,*,, (ä,, r <). ()r, r ry t

t -L .-",. (ä "Q " Y ) r >

GrJ,n-o, 1"f( oGt*-l*-(,;v,l'i,*t 9F'

9'{*

frr"hr,J, ./Lo,

?*"' To'bL. ^^.r/ ,'ft-on &-, &. ,r^-(

Wro4,o/*,o),r^. F = -'F&

/12 2t

# t4 -v " ) =

*() @) s ä.. .- ?4,, - z7- 4"

= t Z*,.%.? - t o z'

-D/ /e = t " 'F '

/ / & r t e a

I t e

arha;.rf, ,/("o,

-\

F42

&*[\l'tr'%

^D;,

4Tcs{ :

? t^ =,/ * = , 1 " q

RZI'r,(-. ?v;+ EOL ^"/ trts ,2n-,&'c &\f^f e,i^r?t Z/rrt-, *"f-f.J ur.4-.( t

r k ) 4 ?L = - . , - hLl ^

- 2 / - - o '

ü'4*rd

e , .yA{'I'"{* 'f/"a*':'k '6' Ff"L' 7

g z i t ' h q Z

. r , ) |

n r n

2r,,r'i,^,.

Q = o

A < 0

a > o

ke-- Er'1' r E'E^,, *d *r*n'rt','d

,ßrhr$. tf,V

arl"'/rt"L Sf

"u1.n/",Ite ffi/l t

. r a

n ' / 2

,u"l/-r*lJ ,&/,"1" W!yct;^ff/( Ä=o I

LJv,*,21 ,*"

ri 'i-l $ -----o

P,,v)3 f&'

e4 t ( l t

f , = n r E-l ? -----e

' l (P.

w;L& a - für, ,,-- ßr//-^-s i = -.h /ol*^*, t{"f tÄ "6" h -/ Zh. .

I

/.,n }*'at"'r p **ÄJA'z{ |? ) 0 ' z . / 1 2 ?

) ( r / = ß - u l W - . )

r / s

f , t ( n - r ) ' * / r x ' r r 2A ; , = 7 2 n .

A ( * - 14 )? r / ' = . k? '

i '

/ o i l ' : i^rk

f ''" /u

IrNfu-&f f i

{ ,

f, aVEr? t uc tt

?J"-'L

W;.vi'/ t^{" wL'/ a>h.{n 7r.- ?

AE-., y' ,n'. '*".

E2 ?^ r * ) 'l t , l

%.,

17", Jt*, I"( n-,. d"(,

/-/

,/*,.Do, &,/, il*n ,-.r!/t

( {"1

fn, = 'f*

t:- - (,'

* o )f , ,

+

eLttt^X* {/.f :

Err E,= fi, ' ,f"' =o

u^J ln,l= le: /J,r"''d/ ]l^.17,.(* W{.* rn U'l7l'*,

o,U pt*ro.'^- (,; r.l*/,'tl*)

t r = E , ' ( d ,t/ '/

a /h*tr'nMrS6/w*V,.-lt 7tLn"

ft.l.^- b,, (aüy-7rt,{, *,r*^^)

7 = o

4= 4. t t ,

f*'(^[ -(

V = D

'hnl c,'c Vclulz('

ß''T''( G",{olz-rl"/''-['( ^ . LryJ ,

W

,'(")

4,

4 ? ,= - - I t

6u.iH)P

%

b

t^ "tvl'l,&-,)ry -4r K,-,,L4f, ,"*,JC.7/t/orn J, k""-,J^ .

v5l tn./,,'- 4 o/,'* nL

( * T.'tl(r.- cr^ nt^l-n^^ , f?-4r/*/ )

PJ^{.^h{"-,,*,h

ItVo, Ul .+1.t*1 a.at ^L Cbrlr*c.-(u-v "-, Orf?^ 2d T

Z.n*^VuttuO\- 4f = lr*

o+--<'

" I.u ' !Lfyo"*"Ju3

f7Ätt*,.8 r.-; lr( i*-,, luf unF'*)l 7r/r*

Fu-,/V"*th&aVr.( , /r"*(, [6TrL '."tJ ''''aa << "'.

O - + - -.tr, -

be.tc Cot + - ( %

rr^.! * +-Do -f{.*.*;r({ ,r{

h ' - , s + ' +

-:{ af 'fn- fi

ru'pt fr*,U'* a, t/.ft.."r..ftr

->

,)

rt

2

t ' = ? , r 9 c o t L

.d(u) =