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MR1109265 (92f:58068) Bates, Larry M. Geometric quantization of a perturbed Kepler problem. Rep. Math. Phys. 28 (1989), no. 2, 289--297. (Reviewer: Ivailo M. Mladenov) 58F06 (81S10) MR1029752 (91b:70029) Emel\cprime yanova, I. S. Symmetric canonical equations with a Hamiltonian that depends explicitly on time. (Russian) Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1989, no. 4, 50--54, 106. (Reviewer: Ivailo M. Mladenov) 70H05 (58F05 58F35 70H15) MR1023795 (90m:81026) Ralston, John P. Berry's phase and the symplectic character of quantum time evolution. Phys. Rev. A (3) 40 (1989), no. 9, 4872--4884. (Reviewer: Ivailo M. Mladenov) 81C25 (58F05) MR1014633 (90h:81052b) Batalin, I. A.; Fradkin, E. S.; Fradkina, T. E. Erratum: "Another version for operatorial quantization of dynamical systems with irreducible constraints". Nuclear Phys. B 323 (1989), no. 3, 734--735. (Reviewer: Ivailo M. Mladenov) 81D07 MR1012430 (90k:81085) Marinov, M. S. An approach to quantization of constrained systems. Found. Phys. Lett. 2 (1989), no. 4, 371--382. (Reviewer: Ivailo M. Mladenov) 81D07 (58F05 58F06) MR0995795 (91b:70036) Gràcia, X.; Pons, J. M. On an evolution operator connecting Lagrangian and Hamiltonian formalisms. Lett. Math. Phys. 17 (1989), no. 3, 175--180. (Reviewer: Ivailo M. Mladenov) 70H99 (58F05 70H05) MR0993715 (90d:70032) Stanchenko, S. V. Nonholonomic Chaplygin systems. (Russian) Prikl. Mat. Mekh. 53 (1989), no. 1, 16--23; translation in J. Appl. Math. Mech. 53 (1989), no. 1, 11--17 (1990) (Reviewer: Ivailo M. Mladenov) 70F25 (58F05) MR0984074 (90h:81052a) Batalin, I. A.; Fradkin, E. S.; Fradkina, T. E. Another version for operatorial quantization of dynamical systems with irreducible constraints. Nuclear Phys. B 314 (1989), no. 1, 158--174. (Reviewer: Ivailo M. Mladenov) 81D07 MR1041279 (91a:58091) Tatarinov, Ya. V. Separation of variables and new topological phenomena in holonomic and nonholonomic systems. (Russian) Trudy Sem. Vektor. Tenzor. Anal. No. 23 (1988), 160--174. (Reviewer: Ivailo M. Mladenov) 58F07 (58F05 70F25 70G35) MR0984881 (90d:81058) Qian, Min; Xu, Ping Generalized Weyl transformation. Acta Math. Appl. Sinica (English Ser.) 4 (1988), no. 3, 275--288. (Reviewer: Ivailo M. Mladenov) 81D07 (81C25) MR0976807 (90e:58062) Golenishcheva-Kutuzova, M. I.; Re\u\i man, A. G. Integrable equations that are connected with a Poisson algebra. (Russian) Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 169 (1988), Voprosy Kvant. Teor. Polya i Statist. Fiz. 8, 44--50, 186; translation in J. Soviet Math. 54 (1991), no. 3, 890--894 (Reviewer: Ivailo M. Mladenov) 58F07 (17B65) MR0974553 (90c:58071) Fil\cprime, B. N.; Prikarpat\cydot ski\u\i, A. K.; Pritula, N. N. Quantum Lie algebra of currents---universal algebraic structure of symmetries of completely integrable dynamical systems. (Russian) Ukrain. Mat. Zh. 40 (1988), no. 6, 764--768, 814; translation in Ukrainian Math. J. 40 (1988), no. 6, 645--649 (1989) (Reviewer: Ivailo M. Mladenov) 58F07 (17B65 81D15) MR0972213 (90e:70011) Künzle, H. P. Classical Poincaré and Galilei invariant Hamiltonian two-particle interactions with commuting position variables. Nuovo Cimento B (11) 101 (1988), no. 6, 721--749. (Reviewer: Ivailo M. Mladenov) 70F05 (58F05 70H40) MR0957889 (90a:58021) Mitropol\cprime ski\u\i, Yu. A.; Prikarpat\cydot ski\u\i, A. K.; Samo\u\i lenko, V. Gr. An algebraic scheme for discrete approximations of linear and nonlinear dynamical systems of mathematical physics. (Russian) Ukrain. Mat. Zh. 40 (1988), no. 4, 453--458, 543; translation in Ukrainian Math. J. 40 (1988), no. 4, 388--392 (1989) (Reviewer: Ivailo M. Mladenov) 58D25 (22E25 35Q20 39A12 47H17) MR0954350 (89k:58099) Matveev, S. V.; Fomenko, A. T. A Morse-type theory for integrable Hamiltonian systems with tame integrals. (Russian) Mat. Zametki 43 (1988), no. 5, 663--671, 703; translation in Math. Notes 43 (1988), no. 5-6, 382--386 (Reviewer: Ivailo M. Mladenov) 58F05 (58E05 58F07) MR0940586 (89e:58107) Fehér, L. Gy. Conformal ${\rm O}(3,2)$ symmetry of the two-dimensional inverse square potential. J. Phys. A 21 (1988), no. 2, 375--378. (Reviewer: Ivailo M. Mladenov) 58F35 (70F05 70H15 70H40) MR0940584 (89f:70025) Reid, Gregory J. Determination of the symmetries characterising separable systems in Euclidean spaces. J. Phys. A 21 (1988), no. 2, 353--362. (Reviewer: Ivailo M. Mladenov) 70H20 (58G35 70-04 81C05) MR0938066 (89i:58051) Kozlov, V. V. On the theory of perturbations of Hamiltonian systems with noncompact invariant surfaces. (Russian) Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1988, no. 2, 55--61, 103. (Reviewer: Ivailo M. Mladenov) 58F07 (58F30 70H05) MR1013917 (90k:58078) Nikolov, Blagovest; Trifonov, Dimit\cdprime r Geometric quantization, coherent states and stochastic measurements. (Russian) Godishnik Vissh. Ped. Inst. Shumen Prirod.-Mat. Fak. 1987, no. 11, 49--62. (Reviewer: Ivailo M. Mladenov) 58F06 (22E45 81C20 81D07) |
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