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Hoorcollege IMN sep-dec 2024

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Alle 12 de gegeven hoorcolleges IMN van Martin van Exter staan in dit document

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  • December 2, 2024
  • 27
  • 2024/2025
  • Class notes
  • Martin exter
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Special Relativity Atv =
Usto

vi
Les 1

·
Vier puzzels
I. aard de medium
van ether
denkbeeldig waardoor licht beweegt
:




2 .
Foto-elektrisch effect :




3
. Warmte
straling (spectrum)
4
. Atomaire Spectra
↳ start van speciale relativiteit en quantum mechanica

& en Mo Constanten in formule van Maxwell : == 299 792 .
,
4500 M/s



aard de ether
begin alles
·
van van

dubbelspleet expiriment van Thomas
-




young
2 Lichtpunten wat demonstreert dat Licht
golf
·


een is

michelson and probeerden de ether le zien (michelson interferometer
morley
-





·
halfdoorlatende Spiegel/bundelsplitter -
b
-



golflengteLicht(hee
klein tot met de s
lengtee
·


05um of um




·

constructief en destructief - (er)3 g =
10
-



Licht door
gaat Niet de ether
·




Einstein's
·

Postulaten

verschillende (constantesnelheid) zien zelfde natuurweten e
za - Y waarnemers opinertiastelsel
L 3 geen
natuurwetten
-

verschil
-X -" x qua waarneming
O
g zelfde Lichtsnelheid
-DV
-


constructief = u
z
-


destructief =
Un
nu


Experiment Mislukt wit licht intefereert niet constructief
·
- -




·me
Ata =
U St.

-DAtr
-


=
U
.
d to
sta
Dus
==
Sta =
T
.




J



Ato =
tijd tussen 2
wilkijes van de Kok (referentie hader)

, · als dan U = 1+ (E)2

·
Meetlat van Einstein etslie =
Ato =
① Ima

t Lu theen
=
0 -D X = C teen = + V .




(C-v)theen = Lv - Steen = (v) daardoor
Sterug (v) =




↳ thent
- ta = str =
J x to
. =
Vo
Tot
U
Les 2

·
horentz transformatie


(xa ta
=




=
V(x0
U (ti
+

+2x)
Vtr)

·
optellen snelheden : V =
·
Doppler effect :
fa = info

·
Lorentz transformatie afleiden
-

Galilea transformatie


{X1 Xb + Ve
=




ta = tB
-


Ya ((Xb + Vt)
=




XB ((XA Vtz)
-
=
-




waarbij U = correctie factor

XA sub in XB : XB =
(2 (XB + Vt) -

VUtA
VUta =
-V + (2XB- XB
ta =
Utr +
( -



XB
-


Lichtsnelheid constant :
XB = C .
+B -D XA = C .
+A
XB =
c. ti sub in Xa =
( (X B + VtB)
XA = ↓C + usti p
-

sub in tA

ta = Ut + (C .

ti

, (EB
1) Herleiden
XA =
(ta = (((+ V)t =
U +

xa =
(vt = ( =- 1 = Vl E) -
=
voor lentamen

=

E U(xXB + CA(B)
& (xA (0X BsTi
o
SXA =
= +

>
- ta =
Ulati + 2 stB) - Ta =
U (b [B + Bo XB
,
O
Ca =
C .

ta ·
B = - ,
[ = tay
,
U=az




Minkowski
·
diagram




·
event
builen
kegel is 'space like'

binnen
kegel is "time like'




·
optellen van snelheden
XA = ((x + VtB) en +A =
(t +-XB) met XB =
VBtB
va = (=) Xa = 0
4 +A = 0




+ wegstrepennaar
XA = ( (VB + v) +B
ta = Ul
VB = c =
Lichtsnelheid
Va == =
c




Bewegende Lok
·
OxB = 0
,
Str = Sto

Sta = Ult + 1xB) =
Ust voor AXB = 0


str = Usto



lengte constractie
·



-
XA = ((1xB + VatB)

Experiment sta = o =
U latb + ax) -
dat =1x
Axa =
U(xxB + v) -


E2(sXB) =
(( -


E)px = ,
want 1 -

F=

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