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Relativistische Mechanik

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Mathematische Physik: Klassische Mechanik

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Zusammenfassung

Das Relativitätsprinzip besagt, dass in den Gesetzen der Physik nur Relativ geschwindigkeiten vorkommen, es also insbesondere sinnlos ist, einen Zustand absoluter Ruhe zu postulieren.

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Literaturverzeichnis

  1. R. Arens, D. Babbitt: The Geometry of Relativistic n Particle Interactions. Pacific Journal of Mathematics 28, 243–274 (1969)

    MathSciNet  MATH  Google Scholar 

  2. D. Arnold, J. Rogness: Möbius Transformations Revealed. Notices of the AMS 55, 1226– 1231 (2008). link

    MathSciNet  MATH  Google Scholar 

  3. D. Currie, T. Jordan, E. Sudarshan: Relativistic Invariance and Hamiltonian Theories of Interacting Particles. Reviews of Modern Physics 35, 350–375 (1963)

    Article  MathSciNet  ADS  Google Scholar 

  4. A. Einstein: Zur Elektrodynamik bewegter Körper. Annalen der Physik und Chemie 17, 891–921 (1905). link

    ADS  Google Scholar 

  5. A. Einstein: Die Grundlage der allgemeinen Relativitätstheorie. Annalen der Physik 49 (der ganzen Reihe: 354), 770–822 (1916).

    ADS  Google Scholar 

  6. J. Figueroa-O’Farrill: Deformations of the Galilean Algebra. Journal of Mathematical Physics 30, 2735–2739 (1989)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. G. Galilei: Dialog über die beiden hauptsächlichen Weltsysteme, das ptolemäische und das kopernikanische (Dialogo sopra i due massimi sistemi, Florenz 1632. link) Leipzig 1891

    Google Scholar 

  8. G. Galilei: Über zwei neue Wissenszweige. (Discorsi e dimostrazioni matematiche, Leiden 1638, link) In: S. Hawking, Ed. Die Klassiker der Physik. Hamburg: Hoffmann und Campe. 2004

    Google Scholar 

  9. J. Hafele, R. Keating: Around the world atomic clocks: predicted relativistic time gains; observed relativistic time gains. Science 177, 166–168; 168–170 (1972)

    Article  ADS  Google Scholar 

  10. U. Kraus, M. Borchers: Fast lichtschnell durch die Stadt. Physik in unserer Zeit, Heft 2/2005, 64–69

    Google Scholar 

  11. F. Klein: Vergleichende Betrachtungen über neuere geometrische Forschungen. (Erlanger Programm). 1872. link

    Google Scholar 

  12. H. Leutwyler: A no-interaction theorem in classical relativistic Hamiltonian particle mechanics. Nuovo Cimento 37, 556–567 (1965)

    Article  Google Scholar 

  13. R.J. MacKay, R.W. Oldford: Scientific method, statistical method and the speed of light. Statistical Science 15, 254–278 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  14. H. Müller, A. Peters, St. Chu: A precision measurement of the gravitational redshift by the interference of matter waves. Nature 463, 926–929 (2010)

    Article  ADS  Google Scholar 

  15. A. Onishchik, E. Vinberg: Lie Groups and Lie Algebras III: Structure of Lie Groups and Lie Algebras. Encyclopaedia of Mathematical Sciences 41, Berlin: Springer 1994

    MATH  Google Scholar 

  16. R. Penrose: The apparent shape of a relativistically moving sphere. Proc. Cambridge Philos. Soc. 55, 137–139 (1959)

    Article  MathSciNet  ADS  Google Scholar 

  17. R. Penrose, W. Rindler: Spinors and Space-Time: Volume 1, Two-Spinor Calculus and Relativistic Fields. Cambridge: Cambridge University Press 1987

    Google Scholar 

  18. M Schottenloher: Geometrie und Symmetrie in der Physik: Leitmotiv der mathematischen Physik. Wiesbaden: Vieweg 1995

    Google Scholar 

  19. D. Sobel: Längengrad. München: Btb 1998

    Google Scholar 

  20. J. Terrell: Invisibility of the Lorentz contraction. Physical Review 116, 1041–1045 (1959)

    Article  MathSciNet  ADS  Google Scholar 

  21. A. Ungar: The relativistic velocity composition paradox and the Thomas rotation Foundations of Physics 19, 1385–1396 (1989)

    MathSciNet  Google Scholar 

  22. E. Zeeman: Causality Implies the Lorentz Group. Journal of Mathematical Physics 5, 490–493 (1964)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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Correspondence to Andreas Knauf .

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Knauf, A. (2012). Relativistische Mechanik. In: Mathematische Physik: Klassische Mechanik. Springer-Lehrbuch Masterclass. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20978-9_16

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