Trajectories of charged particles in Kähler magnetic fields

Reports on Mathematical Physics

Volumn 39, Issue 3, 1997, Pages 299-309

  Kalinin, Dmitry A ^a  

^a KAZAN FEDERAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031161396     PISSN: 00344877     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0034-4877(97)89750-9     Document Type: Article

References (22)

1. [1] Adachi T.: Proc. Japan Acad. 70 A (1992), 12.
2. [2] Adachi T.: Kähler magnetic flows for a manifold of constant holomorphic sectional curvature, Nagoya Inst. of Technology preprint, Nagoya 1995.
3. [3] Alvarez-Gaume L. and Freedman D. Z.: Phys. Rev. D 22 (1980), 846.
4. [4] Aminova A. V. and Kalinin D. A.: Tensor N.S., 56 (1995), 1.
5. [5] Aminova A. V. and Kalinin D. A.: in: Quantum Field Theory under the Influence of External Conditions, ed. M. Bordag, Teubner, Stuttgart 1996, p. 237.
6. [6] Arnold V. I.: Mathematical Methods of Classical Mechanics, Nauka, Moscow 1989 (in Russian).
7. [7] Axelrod S., Della Pietra S. and Witten E.: J. Diff. Geom. 33 (1991), 787.
8. [8] Bowick M. J. and Rajeev S. G.: Phys. Rev. Lett. 58 (1987), 535.
9. [9] Comtet A.: Ann. Phys. 173 (1987), 185.
10. [10] Flaherty E. J.: Hermitian and Kähler Geometry in Relativity, Springer, Berlin 1976.
11. [11] Ingraham R. L.: Nuovo Cim. 68 B (1982), 218.
12. [12] Kalinin D. A.: Hamilton dynamics and H-planar flows, Kazan State Univ. preprint, Kazan 1996.
13. [13] Kalinin D. A.: Izv. Vyssh. Uchebn. Zav. Fiz. 1 (1996), 13 (in Russian).
14. [14] Kobayashi S. and Nomizu K.: Foundation of Differential Geometry, Vol. II, Intersci. Publ., New York 1969.
15. [15] Levi-Cività T.: Ann. Math. Pura Appl. Ser. 2, 24 (1896), 255.
16. [16] Mladenov I. M. and Tsanov V. V.: J. Phys. 26 A (1993), 7115.
17. [17] Otsuki T. and Tashiro Y.: Math. J. Okayama Univ. 4 (1954), 57.
18. [18] Sinyukov N. S.: Geodesic Mappings of Riemannian Spaces, Nauka, Moscow 1979 (in Russian).
19. [19] Śniatycki J.: Geometric Quantization and Quantum Mechanics, Springer, Berlin 1980.
20. [20] Sunada T.: Proc. KAIST Math. Workshop, Analysis and Geometry, 8 (1993), 93.
21. [21] Vishnevskiy V. V., Shirokov A. P. and Shurygin V. V.: Spaces over Algebras, Kazan Univ. Press, Kazan 1985 (in Russian).
22. [22] Vladimirov Yu. S.: Dimension of Physical Space-time and Unification of Interactions, Moscow Univ. Press, Moscow 1987 (in Russian).