@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'I.H.P. Physique th\'eorique}, volume = {29}, year = {1978}, pages = {207-223}, mrnumber = {484169}, language = {fr}, url = {http://dml.mathdoc.fr/item/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'I.H.P. Physique théorique, Tome 29 (1978) pp. 207-223. http://gdmltest.u-ga.fr/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 486330 | Zbl 0364.46016
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 314389
and ,[8] Dynamical quantization of the Kepler manifold, Università di Parma, preprint IFPR-T-047, 1975. | MR 395530
,[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 157250 | Zbl 0107.09102
,[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 0036.26704
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 250582 | Zbl 0183.29003
and ,[15] ZhETF, t. 33, 1957, p. 200 (English Translation : JETP, t. 6, 1958, p. 156). | Zbl 0081.22301
,[16] Group theory and the hydrogen atom I, Rev. Mod. Phys., t. 38, 1966, p. 330. | MR 205613
and ,[17] Dynamical symmetries in quantum theory, Sov. J. Particles Nucl., t. 5, 1974, p. 47 (p. 122 dans l'édition russe). | MR 471683
, and ,[18] Symmetry properties of the classical Kepler problem, J. Math. Phys., t. 14, 1973, p. 1125. | Zbl 0268.70006
,