nr. 475 - 2010 - Institut for Natur, Systemer og Modeller (NSM)

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Epilog I disse noter er der ingen omtale af den generelle relativitetsteori. Dette rådes der lidt bod på ved at gengive fortsættelsen af de "to" forfattere Flora Lopis og Max Tegmarks sang fra side ii. GENERAL RELATIVITY But Einstein had another dream, and in nineteen sixteen he made a deep unification between gravity and acceleration. He said physics ain’t hard at all as long as you are in free fall, ’cos our laws all stay the same in a locally inertial frame. And he called it general relativity, relativity, relativity. And we all believe in relativity, 8.033, relativity. If towards a black hole you fall tides will make you slim and tall, but your friends won’t see you enter a singularity at the center, because it will look to them like you got stuck at radius 2 M. But you get squished, despite this balking, and then evaporate, says Stephen Hawking. We all believe in relativity, relativity, relativity. Yes we all believe in relativity, 8.033, relativity. We’re in an expanding space with galaxies all over the place, and we’ve learned from Edwin Hubble that twice the distance makes the redshift double. We can with confidence converse about the age of our universe. Rival theories are now moot thanks to Penzias, Wilson, Mather & Smoot. We all live in an expanding universe, expanding universe, expanding universe. I
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- I, OM OG MED MATEMATIK OG FYSIK S
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Supplerende regnestykker til Den sp
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ii Abstract eller ej I stedet for e
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Indhold 1 Galileitransformationen 1
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INDHOLD vii 6.2.2 Nogle resultater
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Kapitel 1 Galileitransformationen D
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1.2 Lysets fart 3 1.2.1 Michelson-M
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1.2 Lysets fart 5 I II v c c v+ v
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1.2 Lysets fart 7 hvor c er lysets
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1.2 Lysets fart 9 stor, men altid e
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Kapitel 2 Lorentztransformationen I
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2.2 Måling af tid og længde 13 pu
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2.4 Transformation af x og t 15 rø
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2.4 Transformation af x og t 17 Af
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2.5 Dobbelt Lorentztransformation 1
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2.6 Den generelle Lorentztransforma
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2.6 Den generelle Lorentztransforma
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Kapitel 3 Kinematiske konsekvenser
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3.1 Invarians 27 som (t, x, y, z) g
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3.1 Invarians 29 eller 1 c > ∆
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3.3 Hastighedstransformation 31 hvo
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3.3 Hastighedstransformation 33 For
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3.4 Acceleration 35 3.4 Acceleratio
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3.6 Lorentzforkortningen 37 ligning
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3.8 Vinkeltransformation 39 vinklen
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3.10 Aberration 41 c ∆t ′ A v c
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3.11 Dopplereffekt 43 I systemet S
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3.11 Dopplereffekt 45 Den urelativi
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3.11 Dopplereffekt 47 θ v A B Iagt
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Kapitel 4 Relativistisk dynamik: In
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4.2 Relativistisk impuls 51 y S −
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4.2 Relativistisk impuls 53 y S Fig
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4.3 Kraft 55 Da funktionen g nu er
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4.3 Kraft 57 Ligning (4.28) benytte
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4.4 Relativistisk energi 59 For lav
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4.5 Transformation af impuls og ene
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4.5 Transformation af impuls og ene
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4.7 Ækvivalensen mellem masse og e
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4.8 Lys 67 hvor E1 og E2 er energie
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4.8 Lys 69 4.8.2 Vilkårlig retning
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4.8 Lys 71 Iagttager Kilde Figur 4.
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Kapitel 5 Relativistisk dynamik: Pa
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5.2 Partikelproduktion 75 ved den s
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5.4 Annihilation 77 Da vi nu har fu
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5.5 CM-system og LAB-system 79 og d
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5.6 Massebevarelse i urelativistisk
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5.6 Massebevarelse i urelativistisk
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Kapitel 6 Relativistisk dynamik: Be
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6.1 Ladet partikel i elektrisk felt
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6.2 Det skrå kast 93 n = 1 1 −
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6.2 Det skrå kast 95 = x(t) = F m
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6.2 Det skrå kast 97 y = F m c 2
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6.2 Det skrå kast 99 Også dette r
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6.3 Ladet partikel i magnetfelt 101
Page 115 and 116: 6.3 Ladet partikel i magnetfelt 103
Page 117 and 118: 6.4 Relativistisk raket 105 y S Fig
Page 119 and 120: Kapitel 7 Elektriske og magnetiske
Page 121 and 122: 7.1 Transformationsformlerne 109 Fr
Page 123 and 124: 7.3 Den kørende stang 111 7.2.3 Sp
Page 125 and 126: 7.4 Ladet partikel med konstant has
Page 127 and 128: 7.4 Ladet partikel med konstant has
Page 129 and 130: Kapitel 8 Invarians af Maxwells lig
Page 131 and 132: 8.1 Maxwells ligninger i vakuum 119
Page 133 and 134: 8.2 Ladningstæthed og strømtæthe
Page 135 and 136: 8.3 Maxwells ligninger med kilder 1
Page 137 and 138: Kapitel 9 Firevektorer Vi vil i det
Page 139 and 140: 9.1 Definition af firevektor 127 Tr
Page 141 and 142: 9.3 Skalarprodukt 129 kan den invar
Page 143 and 144: 9.3 Skalarprodukt 131 Dvs. der gæl
Page 145 and 146: 9.4 Firehastighed 133 9.4 Firehasti
Page 147 and 148: 9.6 Fireimpuls 135 er nulvektoren.
Page 149 and 150: 9.6 Fireimpuls 137 Ved at udnytte l
Page 151 and 152: 9.7 Firekraft 139 Denne ligning kva
Page 153 and 154: 9.9 Lorentztransformationen tager e
Page 159 and 160: 9.10 Harmonisk bølge 147 Ligninger
Page 161 and 162: 9.11 Den elektromagnetiske felttens
Page 163 and 164: Indeks T 1 , 92 2 s, 74 F µν , 14
Page 165: INDEKS 153 Partikelhenfald, 76, 138
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nr. 475 - 2010 - Institut for Natur, Systemer og Modeller (NSM)

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