A path integral approach to the theory of heliospheric cosmic-ray modulation

Astrophysical Journal

Volumn 510, Issue 2 PART 1, 1999, Pages 715-725

  Zhang, Ming ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

Aacceleration of particles; Cosmic rays; Diffusion; Interplanetary medium

Indexed keywords

EID: 0033540231     PISSN: 0004637X     EISSN: 15384357     Source Type: Journal    
DOI: 10.1086/306624     Document Type: Article

References (30)

1. DeWitt, B. S. 1957, Rev. Mod. Phys., 29, 377
2. Dirac, P. A. M. 1930, Principles of Quantum Mechanics (Oxford: Oxford Univ. Press)
3. Drozdov, A. N. 1993, Phys. A, 196, 283
4. Drury, L. O'C. 1983, Rep. Prog. Phys., 46, 973
5. Fermi, E. 1949, Phy. Rev., 75, 1169
6. _. 1954, ApJ, 119, 1
7. Feynman, R. P. 1948, Rev. Mod. Phys., 20, 367
8. Fisk, L. A. 1971, J. Geophys. Res., 76, 221
9. Gardiner, C. W. 1983, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Science (Berlin: Springer)
10. Gleeson, L. J., & Axford, W. I. 1968, ApJ, 154, 1011
11. Goldstein, H. 1950, Classical Mechanics (Reading: Addison-Wesley)
12. Graham, R. 1977, Z. Phys. B, 26, 281
13. Hawking, S. W. 1979, in General Relativity, ed. S. Hawking & W. Israel (London: Cambridge Univ. Press)
14. Jokipii, J. R. 1989, Adv. Space Res., 9, (12)105
15. Kleinert, H. 1990, Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics (Singapore: World Scientific)
16. Kóta, J. 1977, Proc. 15th Int. Cosmic-Ray Conf. (Plovdiv), 11, 186
17. Kóta, J., & Jokipii, J. R. 1983, ApJ, 265, 573
18. Langouche, F., Roekaerts, D., & Tirapegui, E. 1982, Functional Integration and Semiclassical Expansions (Boston: Reidel)
19. Morse, P. M., & Feshbach, H. 1953, Methods of Theoretical Physics (New York: McGraw-Hill), chap. 7
20. Onsager, L., & Machlup, S. 1953, Phys. Rev., 91, 1505
21. Parker, E. N. 1965, Planet. Space Sci., 13, 9
22. Potgieter, M. S., & Le Roux, J. A. 1992, ApJ, 386, 336
23. Reinecke, J. P. L., Moraal, H., & McDonald, F. B. 1993, J. Geophys. Res., 98, 9417
24. Schulman, L. S. 1981, Techniques and Applications of Path Integration (New York: Wiley-Interscience)
25. Skilling, J. 1975, MNRAS, 172, 557
26. Takahashi, Y., & Watanabe, S. 1980, in Stochastic Integrals: Proc. LMS Durham Symp., ed. D. Williams (Berlin: Springer), 433
27. Webb, G. M., & Gleeson, L. J. 1977, Proc. 15th Int. Cosmic-Ray Conf. (Plovdiv), 3, 6
28. Weinberg, S. 1972, Gravitation and Cosmology (New York: Wiley)
29. Wiener, N. 1930, Acta Math., 55, 117
30. Zhang, M. 1999, ApJ, in press