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MR1667901 (99m:81009) Faddeev, Ludvig A mathematician's view of the development of physics. Les relations entre les mathématiques et la physique théorique, 73--79, Inst. Hautes Études Sci., Bures-sur-Yvette, 1998. (Reviewer: Ivailo M. Mladenov) 81P05 (00A30 00A79 58-03 81-03) MR1665890 (2000a:53152) Echeverría-Enríquez, Arturo; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso; Victoria-Monge, Carles Mathematical foundations of geometric quantization. Extracta Math. 13 (1998), no. 2, 135--238. (Reviewer: Ivailo M. Mladenov) 53D50 (81-02 81S10) MR1658678 (99k:70010) Vivarelli, M. D. The Kepler problem $S$-sphere and the Kepler manifold. Meccanica 33 (1998), no. 6, 541--551. (Reviewer: Ivailo M. Mladenov) 70F05 (70F15) MR1649229 (99j:58083) Aldaya, V.; Guerrero, J.; Marmo, G. Quantization on a Lie group: higher-order polarizations. Symmetries in science, X (Bregenz, 1997), 1--36, Plenum, New York, 1998. (Reviewer: Ivailo M. Mladenov) 58F06 (81S10) MR1640452 (99j:81085) Penna, Vittorio; Rasetti, Mario; Spera, Mauro Quantum dynamics of 3-D vortices. Secondary calculus and cohomological physics (Moscow, 1997), 173--193, Contemp. Math., 219, Amer. Math. Soc., Providence, RI, 1998. (Reviewer: Ivailo M. Mladenov) 81S10 (76C05 81R30 81T99) MR1642785 (2000c:81116) Reuter, M. Quantum mechanics as a gauge theory of metaplectic spinor fields. Internat. J. Modern Phys. A 13 (1998), no. 22, 3835--3883. (Reviewer: Ivailo M. Mladenov) 81R25 (22E70 81T13) MR1637183 (99i:81119) Kanatchikov, Igor V. Toward the Born-Weyl quantization of fields. Proceedings of the International Quantum Structures Association 1996 (Berlin). Internat. J. Theoret. Phys. 37 (1998), no. 1, 333--342. (Reviewer: Ivailo M. Mladenov) 81S10 (81S05 81T10) MR1636971 (99e:58083) Jorjadze, George Hamiltonian reduction and quantization on symplectic manifolds. Mem. Differential Equations Math. Phys. 13 (1998), 1--98. (Reviewer: Ivailo M. Mladenov) 58F06 (81S10) MR1632921 (99h:81066) Segal, Irving; Vogan, David A., Jr.; Zhou, Zhengfang Spinor currents as vector particles. J. Funct. Anal. 156 (1998), no. 1, 252--262. (Reviewer: Ivailo M. Mladenov) 81R05 (20C35 22E70) MR1629657 (99e:81067) Lucenti, A.; Lusanna, L.; Pauri, M. Dirac observables and spin bases for $N$ relativistic particles. J. Phys. A 31 (1998), no. 6, 1633--1656. (Reviewer: Ivailo M. Mladenov) 81R05 (81V70) MR1621582 (99c:58062) Puta, Mircea Integrability and geometric prequantization of the Maxwell-Bloch equations. Bull. Sci. Math. 122 (1998), no. 3, 243--250. (Reviewer: Ivailo M. Mladenov) 58F06 (58F07 81S10 81V80) MR1612097 (99b:81094) Odzijewicz, Anatol Quantum algebras and $q$-special functions related to coherent states maps of the disc. Comm. Math. Phys. 192 (1998), no. 1, 183--215. (Reviewer: Ivailo M. Mladenov) 81R30 (33D20 81R50) MR1600324 (98m:58047) Wu, Yihren Quantization of a particle in a background Yang-Mills field. J. Math. Phys. 39 (1998), no. 2, 867--875. (Reviewer: Ivailo M. Mladenov) 58F06 (81S10) MR1723592 (2001f:81072) Berceanu, \c Stefan Coherent states and geometry. Proceedings of the Third International Workshop on Differential Geometry and its Applications and the First German-Romanian Seminar on Geometry (Sibiu, 1997). Gen. Math. 5 (1997), 13--31. (Reviewer: Ivailo M. Mladenov) 81R30 (53C22 53C80) MR1614697 (99b:58105) Maraner, P. A dynamical mechanism for the selection of physical states in "geometric quantization schemes". Quantizations, deformations and coherent states (Bia\l owie\.za, 1996). Rep. Math. Phys. 40 (1997), no. 2, 265--271. (Reviewer: Ivailo M. Mladenov) 58F06 (81S10) MR1614694 (99i:81062) Karassiov, Valery P. Polynomial Lie algebras and associated pseudogroup structures in composite quantum models. Quantizations, deformations and coherent states (Bia\l owie\.za, 1996). Rep. Math. Phys. 40 (1997), no. 2, 235--244. (Reviewer: Ivailo M. Mladenov) 81R05 (17B81 81V70 81V80) MR1492418 (98m:58043) Gotay, Mark J.; Grundling, Hendrik B. On quantizing $T\sp *S\sp 1$. Rep. Math. Phys. 40 (1997), no. 1, 107--123. (Reviewer: Ivailo M. Mladenov) 58F06 (81S10) MR1482102 (98k:81058) Dobrokhotov, S. Yu.; Olive, Viktor M.; Shafarevich, A. I. Closed trajectories and two-dimensional tori in the quantum Kepler problem with variable anisotropy. (Russian) Dokl. Akad. Nauk 355 (1997), no. 3, 299--302. (Reviewer: Ivailo M. Mladenov) 81Q20 (70F05) MR1478906 (98k:81285) Vergeles, S. N. On the quantization of generally covariant theories. The dynamic quantization method. (Russian) Teoret. Mat. Fiz. 112 (1997), no. 1, 132--141; translation in Theoret. and Math. Phys. 112 (1997), no. 1, 899--905 (1998) (Reviewer: Ivailo M. Mladenov) 81T70 (81Q15) MR1475031 (98i:81121) Schulte, Christoph Quantum mechanics on the torus, Klein bottle and projective sphere. Symmetries in science, IX (Bregenz, 1996), 313--323, Plenum, New York, 1997. (Reviewer: Ivailo M. Mladenov) 81S10 (58F06) |
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