@article{AIHPA_1978__28_2_207_0, author = {Todorov, I. T.}, title = {Sur la quantification d'un syst\`eme m\'ecanique avec des contraintes de deuxi\`eme classe}, journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique}, pages = {207--223}, publisher = {Gauthier-Villars}, volume = {28}, number = {2}, year = {1978}, mrnumber = {484169}, language = {fr}, url = {http://www.numdam.org/item/AIHPA_1978__28_2_207_0/} }
TY - JOUR AU - Todorov, I. T. TI - Sur la quantification d'un système mécanique avec des contraintes de deuxième classe JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1978 SP - 207 EP - 223 VL - 28 IS - 2 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1978__28_2_207_0/ LA - fr ID - AIHPA_1978__28_2_207_0 ER -
%0 Journal Article %A Todorov, I. T. %T Sur la quantification d'un système mécanique avec des contraintes de deuxième classe %J Annales de l'institut Henri Poincaré. Section A, Physique Théorique %D 1978 %P 207-223 %V 28 %N 2 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1978__28_2_207_0/ %G fr %F AIHPA_1978__28_2_207_0
Todorov, I. T. Sur la quantification d'un système mécanique avec des contraintes de deuxième classe. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 28 (1978) no. 2, pp. 207-223. http://www.numdam.org/item/AIHPA_1978__28_2_207_0/
[1] Lectures on Quantum Mechanics (Belfer Graduate School of Science, Yeshiva University, N. Y., 1964).
,[2] Constraint Hamiltonian Systems, Institute for Advanced Study, Princeton, preprint 10-74 (1975) et Academia Nazionale dei Lincei, Roma, 1976.
, and ,[3] Spaces of analytic functions on a complex cone as carriers for the symmetric tensor representations of SO(n), J. Math. Phys., t. 18, 1977, p. 1141. | MR | Zbl
and ,[4] The de Sitter group L4,1 and the bound states of hydrogen atom, Nuovo Cimento, t. A 41, 1966, p. 222. , and , Dynamical groups and spherical potentials in classical mechanics, Commun. Math. Phys., t. 3, 1966, p. 323.
,[5] Kepler's equation, Fock variables, Bacry's generators and Dirac brackets, Nuovo Cimento, t. 53, 1968, p. 717. , Integration of the dynamical symmetry group for the - 1/r potential, Acta Phys. Acad. Sci. Hungaricae, t. 27, 1969, p. 435.
,[6] Convegno di Geometria Simplettica e Fisica Matematica, Rome, 1973. v. en particulier, les articles : , Symplectic spinors; , Geometric quantization of the energy levels in the Kepler problem ; , Sur la variété de Kepler ; , Sur l'interprétation en géométrie symplectique des états quantiques de l'atome d'hydrogène.
[7] Dynamical quantization, J. Math. Phys., t. 13, 1972, p. 533. | MR
and ,[8] Dynamical quantization of the Kepler manifold, Università di Parma, preprint IFPR-T-047, 1975. | MR
,[9] 40 years later, Lecture given at the Conference on Differential Geometric Methods in Mathematical Physics, University of Bonn, July, 1975.
, ,[10] Quasipotential approach to the two-body problem in quantum field theory. In: Properties of Fundamental Interactions, vol. 9, Part C, ed. A. Zichichi (Editrice Compositori, Bologna, 1973); v. aussi Phys. Rev., t. D 3, 1971, p. 2351. , and , Quasipotential approach for the Coulomb bound state problem for spin 0 and spin 1/2 particles, Nuclear Physics, t. B 98, 1975, p. 447. 2
,[11] On a Hilbert space of analytic functions and an associated integral transform, Commun. Pure Appl. Math., t. 14, 1961, p. 187 and t. 20, 1967, p. 1. | MR | Zbl
,[12] Localized states for elementary systems, Rev. Mod. Phys., t. 21, 1949, p. 400. , On the localizability of quantum mechanical systems, Rev. Mod. Phys., t. 34, 1962, p. 845. | Zbl
and ,[13] Interactions in relativistic classical particle mechanics. In : Lectures in Theoretical Physics, vol. XA Quantum Theory and Statistical Physics, Ed. by A. O. Barut and W. E. Brittin (Gordon and Breach, N. Y., 1968), p. 91-139.
and ,[14] Irreducibility of the ladder representations of U(2,2) when restricted to the Poincaré subgroup, J. Math. Phys., t. 10, 1969, p. 2078. | MR | Zbl
and ,[15] ZhETF, t. 33, 1957, p. 200 (English Translation : JETP, t. 6, 1958, p. 156). | Zbl
,[16] Group theory and the hydrogen atom I, Rev. Mod. Phys., t. 38, 1966, p. 330. | MR
and ,[17] Dynamical symmetries in quantum theory, Sov. J. Particles Nucl., t. 5, 1974, p. 47 (p. 122 dans l'édition russe). | MR
, and ,[18] Symmetry properties of the classical Kepler problem, J. Math. Phys., t. 14, 1973, p. 1125. | Zbl
,