Deriving relativistic momentum and energy

European Journal of Physics

Volumn 26, Issue 1, 2005, Pages 33-45

  Sonego, Sebastiano ^a   Pin, Massimo ^a  

^a UNIVERSITY OF UDINE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; DYNAMICS; HAMILTONIANS; KINEMATICS; KINETIC ENERGY; MATHEMATICAL TRANSFORMATIONS; VELOCITY;

LORENTZ TRANSFORMATION; RELATIVISTIC ENERGY; RELATIVISTIC MOMENTUM;

RELATIVITY;

EID: 12844263561     PISSN: 01430807     EISSN: None     Source Type: Journal    
DOI: 10.1088/0143-0807/26/1/005     Document Type: Article

References (45)

1. Feynman R P, Leighton R B and Sands M 1963 The Feynman Lectures on Physics vol I (Reading, MA: Addison-Wesley) pp 16/6-16/7
2. Taylor E F and Wheeler J A 1966 Spacetime Physics (New York: Freeman) pp 106-8
3. Tolman R C 1934 Relativity, Thermodynamics, and Cosmology (Oxford: Clarendon) (reissued by Dover 1987 pp 43-4)
4. Bohm D 1996 The Special Theory of Relativity (London: Routledge) pp 84-8
5. Adler C G 1987 Does mass really depend on velocity, Dad? Am. J. Phys. 55 739-43
6. Okun L B 1989 The concept of mass Phys. Tod. 42 (No 6) 31-6
7. Okun L B 1989 The concept of mass (mass, energy, relativity) Sov. Phys. Usp. 32 629-38
8. Rindler W, Vandyck M A, Murugesan P, Ruschin S, Sauter C and Okun L B 1990 Putting to rest mass misconceptions Phys. Tod. 43 (No 5) 13-5, 115-7
9. Khrapko R I 2000 What is mass? Phys. Usp. 43 1267-70
10. Okun L B 2000 Reply to the letter 'What is mass?' by R I Khrapko Phys. Usp. 43 1270-5
11. Mermin N D 1968 Space and Time in Special Relativity (New York: McGraw-Hill) (reissued by Waveland Press 1989 pp 207-14)
12. Ellis G F R and Williams R M 2000 Flat and Curved Space-Times (Oxford: Oxford University Press) pp 330-1
13. Penrose R and Rindler W 1965 Energy conservation as the basis of relativistic mechanics Am. J. Phys. 33 55-9
14. Ehlers J, Rindler W and Penrose R 1965 Energy conservation as the basis of relativistic mechanics II Am. J. Phys. 33 995-7
15. Mermin N D 1984 Relativity without light Am. J. Phys. 52 119-24 Reissued with a postscript in: Mermin N D 1990 Boojums All the Way Through (Cambridge: Cambridge University Press) pp 247-65 University Press)
16. Sonego S and Pin M Generalised relativistic dynamics, in preparation
17. Barbour J B 2001 The Discovery of Dynamics (Oxford: Oxford University Press) p 471
18. Rindler W 1960 Special Relativity (Edinburgh: Oliver and Boyd)
19. Kaluza T 1924 Zur Relativitätstheorie Phys. Z. 25 604-6
20. von Ignatowsky W A 1910 Einige allgemeine Bemerkungen zum Relativitätsprinzip Verh. Deutsch. Phys. Ges. 12 788-96
21. von Ignatowsky W A 1910 Einige allgemeine Bemerkungen zum Relativitätsprinzip Phys. Z. 11 972-6
22. von Ignatowsky W A 1911 Das Relativitätsprinzip Arch. Math. Phys. 3 (No 17) 1-24
23. von Ignatowsky W A 1911 Das Relativitätsprinzip Arch. Math. Phys. 3 (No 18) 17-41
24. von Ignatowsky W A 1911 Eine Bemerkung zu meiner Arbeit 'Einige allgemeine Bemerkungen zum Relativitätsprinzip' Phys. Z. 12 779
25. Frank P and Rothe H 1911 Ueber die Transformation der Raumzeitkoordinaten von ruhenden auf bewegte Systeme Ann. Phys. 34 825-53
26. Frank P and Rothe H 1912 Zur Herleitung der Lorentz Transformation Phys. Z. 13 750-3
27. Whitehead A N 1919 An Enquiry Concerning the Principles of Natural Knowledge (Cambridge: Cambridge University Press) chapter XIII
28. Pars L A 1921 The Lorentz transformation Phil. Mag. 42 249-58
29. Lalan V 1937 Sur les posmlats qui sont à la base des cinématiques Bull. Soc. Math. France 65 83-99
30. Severi F 1955 Aspetti matematici dei legami tra relatività e senso comune Cinquant'anni di Relatività ed M Pantaleo (Firenze: Giunti) pp 309-33
31. Terletskii Y P 1968 Paradoxes in the Theory of Relativity (New York: Plenum)
32. Süssmann G 1969 Begründung der Lorentz-Gruppe allein mit Symmetrie- und Relativitäts-Annahmen Zeitsch. Naturf. A 24 495-8
33. Lee A R and Kalotas T M 1975 Lorentz transformations from the first postulate Am. J. Phys. 43 434-7
34. Lévy-Leblond J-M 1976 One more derivation of the Lorentz transformation Am. J. Phys. 44 271-7
35. Jammer M 1979 Some foundational problems in the special theory of relativity Problems in the Foundations of Physics ed G Toraldo di Francia (Amsterdam: North-Holland) pp 202-36
36. Coleman B 2003 A dual first-postulate basis for special relativity Eur. J. Phys. 24 301-13
37. Pal P B 2003 Nothing but relativity Eur. J. Phys. 24 315-9 (Preprint physics/0302045)
38. Berzi V and Gorini V 1969 Reciprocity principle and the Lorentz transformations J. Math. Phys. 10 1518-24
39. Gorini V and Zecca A 1970 Isotropy of space J. Math. Phys. 11 2226-30
40. Gorini V 1971 Linear kinematical groups Commun. Math. Phys. 21 150-63
41. Lugiato L A and Gorini V 1972 On the structure of relativity groups J. Math. Phys. 13 665-71
42. Berzi V and Gorini V 1972 On space-time, reference frames and the structure of relativity groups Ann. Inst. H Poincaré A 16 1-22
43. Rindler W 1977 Essential Relativity 2nd edn (New York: Springer) pp 51-53
44. Torretti R 1996 Relativity and Geometry (New York: Dover) pp 76-82
45. Goldstein H, Poole C and Safko J 2002 Classical Mechanics 3rd edn (San Francisco: Addison-Wesley) pp 334-7