@article{AIHPA_1983__38_1_81_0, author = {Pogrebkov, A. K. and Todorov, I. T.}, title = {Relativistic hamiltonian dynamics of singularities of the {Liouville} equation}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {81--92}, publisher = {Gauthier-Villars}, volume = {38}, number = {1}, year = {1983}, mrnumber = {700703}, zbl = {0539.35068}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1983__38_1_81_0/} }
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 SP - 81 EP - 92 VL - 38 IS - 1 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1983__38_1_81_0/ LA - en ID - AIHPA_1983__38_1_81_0 ER -
%0 Journal Article %A Pogrebkov, A. K. %A Todorov, I. T. %T Relativistic hamiltonian dynamics of singularities of the Liouville equation %J Annales de l'I.H.P. Physique théorique %D 1983 %P 81-92 %V 38 %N 1 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1983__38_1_81_0/ %G en %F AIHPA_1983__38_1_81_0
Pogrebkov, A. K.; Todorov, I. T. Relativistic hamiltonian dynamics of singularities of the Liouville equation. Annales de l'I.H.P. Physique théorique, Tome 38 (1983) no. 1, pp. 81-92. http://www.numdam.org/item/AIHPA_1983__38_1_81_0/
[1] On the solutions with singularities of the Liouville equation , ICTP preprint IC/78/126. Trieste, 1978. 2
, , ,Singular solutions of the equation , Theor. Math. Phys., t. 40, 1979, p. 706-715. | Zbl
, , ,[2] Complete integrability of dynamical systems, generated by the singular solutions of the Liouville equation, Theor. Math. Phys., t. 45, 1980. p. 951-957. | MR | Zbl
,[3] Relativistic invariance and Hamiltonian theories of interacting particles, Rev. Mod. Phys., t. 35, 1963, p. 350-375; ibid 1032. | MR
, , ,[4] A no-interaction theorem in classical relativistic Hamiltonian particle mechanics, Nuovo Cim., 37, 1965, p. 556-557.
,[5] Canonical formulation of relativistic mechanics, J. Math. Phys., t. 8, 1967, p. 1756-1773.
,[6] Nonexistence of two body interacting Lagrangians invariant under independent reparametrizations of each world-line, Lett. Nuovo Cim., t. 26, 1979, p. 1-4.
, ,[7] Frame dependence of world lines for directly interacting classical relativistic particles, Int. Rep. IC/79/59 Trieste, 1979.
, ,[8] Gauge dependence of world lines and invariance of the S-matrix in relativistic classical mechanics, Comm. Math. Phys., t. 79, 1981, p. 111-132. | MR
, ,[9] 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). | MR
,[10] Feynman integrals for singular Lagrangians, Theor. Math. Phys., t. 1, 1969, p. 1-13. | MR | Zbl
,[11] Can the position variable be a canonical coordinate in a many particle relativistic theory? J. Math. Phys., t. 6, 1965, p. 1218-1227. | MR
,[12] 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. | EuDML | Numdam | MR | Zbl
,[13] Formes Hamiltoniennes et systèmes conservatifs, Ann. Inst. H. Poincaré, t. 22A, 1975, p. 173-195. | EuDML | Numdam | MR
, ,[14] Position variables in classical relativistic Hamiltonian mechanics, Nucl. Phys., t. B161, 1979, p. 469-492. | MR
,[15] Space-time versus phase space approach to relativistic particle dynamics, Lecture Notes in Mathematics (to be published). | MR | Zbl
, ,