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MR1792667 (2001i:70019) Gritsev, V. V.; Kurochkin, Yu. A.; Otchik, V. S. Nonlinear symmetry algebra of the MIC-Kepler problem on the sphere $S\sp 3$. J. Phys. A 33 (2000), no. 27, 4903--4910. (Reviewer: Ivailo M. Mladenov) 70G65 (37J15 70H05 81Q05 81R05) MR1788580 (2001h:81060) Lévay, Péter On the ${\rm SU}(2)$ Kepler problem. J. Math. Phys. 41 (2000), no. 11, 7382--7385. (Reviewer: Ivailo M. Mladenov) 81Q05 (81R05 81V45) MR1783507 (2001h:81124) Diaz Miranda, Antonio Wave functions for Galilean particles. Internat. J. Theoret. Phys. 39 (2000), no. 5, 1245--1290. (Reviewer: Ivailo M. Mladenov) 81S10 (22E70 53D50) MR1766628 (2001g:81143) Villanueva, Victor M.; Govaerts, Jan; Lucio-Martinez, Jose-Luis Quantization without gauge fixing: avoiding Gribov ambiguities through the physical projector. J. Phys. A 33 (2000), no. 22, 4183--4202. (Reviewer: Ivailo M. Mladenov) 81S30 (81T13 81T70) MR1766619 (2001j:81088) Gritsev, V. V.; Kurochkin, Yu. A. The Higgs algebra and the Kepler problem in $\bold R\sp 3$. J. Phys. A 33 (2000), no. 22, 4073--4079. (Reviewer: Ivailo M. Mladenov) 81R05 (70F05 81R12) MR1749986 (2001c:81062) Jorjadze, George; Piechocki, W\l odzimierz Particle dynamics on hyperboloid and unitary representation of ${\rm SO}(1,N)$ group. Phys. Lett. B 476 (2000), no. 1-2, 134--140. (Reviewer: Ivailo M. Mladenov) 81R05 (22E70 81S05) MR1738611 (2001c:81036) Pletyukhov, M. V.; Tolkachev, E. A. Green's function for the five-dimensional ${\rm SU}(2)$ MIC-Kepler problem. J. Math. Phys. 41 (2000), no. 1, 187--194. (Reviewer: Ivailo M. Mladenov) 81Q05 (81Q70 81R05 81S10) MR1745860 (2001c:81087) Bajnok, Z.; Nógrádi, D.; Varga, D.; Wágner, F. Geometric quantization of the global Liouville mechanics. J. Phys. A 32 (1999), no. 43, 7477--7481. (Reviewer: Ivailo M. Mladenov) 81S10 (53D50 81Q70) MR1731216 (2001f:53188) Ohnuki, Y. Quantization on closed manifolds. Aspects of complex analysis, differential geometry, mathematical physics and applications (St. Konstantin, 1998), 266--288, World Sci. Publishing, River Edge, NJ, 1999. (Reviewer: Ivailo M. Mladenov) 53D50 (81R05 81S05 81S10) MR1704809 (2001f:53186) Doebner, H.-D.; Groth, W.; Hennig, J. D. On quantum mechanics of $n$-particle systems on $2$-manifolds---a case study in topology. J. Geom. Phys. 31 (1999), no. 1, 35--50. (Reviewer: Ivailo M. Mladenov) 53D50 (53C07 53C80 81S10) MR1699826 (2000k:81090) Cushman, R. H.; Sadovskií, D. A. Monodromy in perturbed Kepler systems: hydrogen atom in crossed fields. Europhys. Lett. 47 (1999), no. 1, 1--7. (Reviewer: Ivailo M. Mladenov) 81Q20 (37N20 70F05 70H05 81Q70 81R12 81V45) MR1696909 (2000j:81087) Pletyukhov, M. V.; Tolkachev, E. A. ${\rm SO}(6,2)$ dynamical symmetry of the ${\rm SU}(2)$ MIC-Kepler problem. J. Phys. A 32 (1999), no. 23, L249--L253. (Reviewer: Ivailo M. Mladenov) 81R05 MR1687915 (2000g:53104) Mykytiuk, Ihor Geometric quantization: Hilbert space structure on the space of generalized sections. Coherent states, differential and quantum geometry (Bia\l owie\.za, 1997). Rep. Math. Phys. 43 (1999), no. 1-2, 257--266. (Reviewer: Ivailo M. Mladenov) 53D50 MR1687905 (2000i:81067) Kalinin, Dmitry A. On quantization of polynomial momentum observables. Coherent states, differential and quantum geometry (Bia\l owie\.za, 1997). Rep. Math. Phys. 43 (1999), no. 1-2, 147--155. (Reviewer: Ivailo M. Mladenov) 81S10 (53D50) MR1659239 (99m:81077) Lyakhovich, S. L.; Sharapov, A. A.; Shekhter, K. M. Massive spinning particle in any dimension. I. Integer spins. Nuclear Phys. B 537 (1999), no. 1-3, 640--652. (Reviewer: Ivailo M. Mladenov) 81R05 (81S10) MR1657997 (99m:81048) Pletyukhov, M. V.; Tolkachev, E. A. 8D oscillator and 5D Kepler problem: the case of nontrivial constraints. J. Math. Phys. 40 (1999), no. 1, 93--100. (Reviewer: Ivailo M. Mladenov) 81Q05 (22E70 81R05) MR1792543 (2001h:81125) Klauder, John R. Geometric quantization from a coherent state viewpoint. Quantization, coherent states, and Poisson structures (Bia\l owie\.za, 1995), 59--72, PWN, Warsaw, 1998. (Reviewer: Ivailo M. Mladenov) 81S10 (53D50 81R30) MR1698097 (2001f:81017) Ortega Bombín, Ramón; Santander, Mariano Rays and phases: the geometry of quantum space state. Geometry and physics (Zaragoza, 1998), 209--220, An. Fís. Monogr., 5, CIEMAT, Madrid, 1998. (Reviewer: Ivailo M. Mladenov) 81P05 (51M10 51P05 53B50) MR1692237 (2000j:81120) Roberts, M. D. The quantum commutator algebra of a perfect fluid. Math. Phys. Anal. Geom. 1 (1998/99), no. 4, 367--373. (Reviewer: Ivailo M. Mladenov) 81S05 (81R10 82B26) MR1672586 (2000c:81113) Nersessian, Armen; Ramos, Eduardo Massive spinning particles and the geometry of null curves. Phys. Lett. B 445 (1998), no. 1-2, 123--128. (Reviewer: Ivailo M. Mladenov) 81R20 (53A40 70H05 70H33 81S10) |
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