Relativistic hamiltonian dynamics of singularities of the Liouville equation

A. K. Pogrebkov; I. T. Todorov

Annales de l'I.H.P. Physique théorique (1983)

  • Volume: 38, Issue: 1, page 81-92
  • ISSN: 0246-0211

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Pogrebkov, A. K., and Todorov, I. T.. "Relativistic hamiltonian dynamics of singularities of the Liouville equation." Annales de l'I.H.P. Physique théorique 38.1 (1983): 81-92. <http://eudml.org/doc/76186>.

@article{Pogrebkov1983,
author = {Pogrebkov, A. K., Todorov, I. T.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Hamiltonian description; dynamics of singularities; Liouville equation; Markov-Yukawa gauge},
language = {eng},
number = {1},
pages = {81-92},
publisher = {Gauthier-Villars},
title = {Relativistic hamiltonian dynamics of singularities of the Liouville equation},
url = {http://eudml.org/doc/76186},
volume = {38},
year = {1983},
}

TY - JOUR
AU - Pogrebkov, A. K.
AU - Todorov, I. T.
TI - Relativistic hamiltonian dynamics of singularities of the Liouville equation
JO - Annales de l'I.H.P. Physique théorique
PY - 1983
PB - Gauthier-Villars
VL - 38
IS - 1
SP - 81
EP - 92
LA - eng
KW - Hamiltonian description; dynamics of singularities; Liouville equation; Markov-Yukawa gauge
UR - http://eudml.org/doc/76186
ER -

References

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  1. [1] G.P. Jorjadze, A.K. Pogrebkov, M.C. Polivanov, , ICTP preprint IC/78/126. Trieste, 1978. 2 
  2. G.P. Georjadze, A.K. Pogrebkov, M.K. Polivanov, , Theor. Math. Phys., t. 40, 1979, p. 706-715. Zbl0453.35058
  3. [2] A.K. Pogrebkov, Complete integrability of dynamical systems, generated by the singular solutions of the Liouville equation, Theor. Math. Phys., t. 45, 1980. p. 951-957. Zbl0461.35083MR604518
  4. [3] D.G. Currie, T.F. Jordan, E.C.G. Sudarshan, Relativistic invariance and Hamiltonian theories of interacting particles, Rev. Mod. Phys., t. 35, 1963, p. 350-375; ibid1032. MR151138
  5. [4] H. Leutwyler, A no-interaction theorem in classical relativistic Hamiltonian particle mechanics, Nuovo Cim., 37, 1965, p. 556-557. 
  6. [5] R.N. Hill, Canonical formulation of relativistic mechanics, J. Math. Phys., t. 8, 1967, p. 1756-1773. 
  7. [6] R. Giachetti, E. Sorace, Nonexistence of two body interacting Lagrangians invariant under independent reparametrizations of each world-line, Lett. Nuovo Cim., t. 26, 1979, p. 1-4. 
  8. [7] V.V. Molotkov, I.T. Todorov, Frame dependence of world lines for directly interacting classical relativistic particles, Int. Rep. IC/79/59 Trieste, 1979. 
  9. [8] V.V. Molotkov, T.T. Todorov, Gauge dependence of world lines and invariance of the S-matrix in relativistic classical mechanics, Comm. Math. Phys., t. 79, 1981, p. 111-132. MR609231
  10. [9] I.T. Todorov, Dynamics of relativistic point particles as a problem with constraints, Commun. JINR E2-10125 Dubna, 1976; Constraint Hamiltonian mechanics of directly interacting relativistic paricles, preprint BI-TP 81/24, Bielefeld, 1981 ; Differential geometric methods in relativistic particle dynamics. Single particle systems, Lecture notes, USP Mathematizierung, Bielefeld, 1981 (This latter reference contains an extended bibliography). 
  11. [10] L.D. Faddeev, Feynman integrals for singular Lagrangians, Theor. Math. Phys., t. 1, 1969, p. 1-13. Zbl1183.81090
  12. [11] E.H. Kerner, Can the position variable be a canonical coordinate in a many particle relativistic theory?J. Math. Phys., t. 6, 1965, p. 1218-1227. MR187870
  13. [12] Ph. Droz-Vincent, Relativistic systems of interacting particles, Physica Scripta, t. 2, 1970, p. 129-134; N-body relativistic systems, Ann. Inst. H. Poincaré, t. 32A, 1980, p. 377-389. Zbl1063.83553MR309506
  14. [13] L. Bel, J. Martin, Formes Hamiltoniennes et systèmes conservatifs, Ann. Inst. H. Poincaré, t. 22A, 1975, p. 173-195. MR378697
  15. [14] H. Sazdjian, Position variables in classical relativistic Hamiltonian mechanics, Nucl. Phys., t. B161, 1979, p. 469-492. MR551949
  16. [15] P.A. Nikolov, I.T. Todorov, Space-time versus phase space approach to relativistic particle dynamics, Lecture Notes in Mathematics (to be published). Zbl0525.70018

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