Two-photon bremsstrahlung processes in atoms: Polarization effects and analytic results for the coulomb potential

Journal of Experimental and Theoretical Physics

Volumn 95, Issue 6, 2002, Pages 1006-1032

  Krylovetskii A A ^a   Manakov, N L ^a   Marmo, S I ^a   Starace, A F ^b  

^a VORONEZH STATE UNIVERSITY   (Russian Federation)

^b UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ABSORPTION; ELECTRON TRANSITIONS; PERTURBATION TECHNIQUES; POLARIZATION; POLYNOMIALS; RADIATION; VECTORS;

ANGULAR MOMENTUM; BREMSSTRAHLUNG PROCESSES; COULOMB POTENTIAL; ELECTRON ENERGY;

PHOTONS;

EID: 33645616440     PISSN: 10637761     EISSN: None     Source Type: Journal    
DOI: 10.1134/1.1537293     Document Type: Article

References (106)

1. A. Sommerfeld, Ann. Phys. (Leipzig) 11, 257 (1931);
2. A. Sommerfeld, Atomic Structure and Spectral Lines (Methuen, London, 1934; Gostekhizdat, Moscow, 1956), Vol. 2.
3. L. Bess, Phys. Rev. 77, 550 (1950);
4. A. Nordsieck, Phys. Rev. 93, 785 (1954).
5. V. B. Berestetskii, E. M. Lifshitz, and L. P Pitaevskii, Course of Theoretical Physics, Vol. 4: Quantum Electro-dynamics (Nauka, Moscow, 1980; Pergamon, New York, 1982).
6. N. L. Manakov, S. I. Marmo, and V. V. Volovich, Phys. Lett. A 27A, 42 (1995);
7. J. Electron Spectrosc. Relat. Phenom. 79, 327 (1996).
8. L. C. Biedenharn, Phys. Rev. 102, 262 (1956).
9. W. Heitler and L. Nordheim, Physica (Amsterdam) 1, 1059 (1934).
10. J. C. Altman and C. A. Quarles, Phys. Rev. A 31, 2744 (1985).
11. D. L. Kahler, J. Liu, and C. A. Quarles, Phys. Rev. Lett. 68, 1690 (1992);
12. Phys. Rev. A 47, 2819 (1993);
13. J. Liu and C. A. Quarles, Phys. Rev. A 47, R3479 (1993).
14. R. Hippler, Phys. Rev. Lett. 66, 2197 (1991);
15. R. Hippler and H. Schneider, Nucl. Instrum. Methods Phys. Res. B 87, 268 (1994).
16. A. I. Smirnov, Yad. Fiz. 25, 1030 (1977)
17. [Sov. J. Nucl. Phys. 25, 548 (1977)].
18. M. Gavrila, A. Maquet, and V. Veniard, Phys. Rev. A 32, 2537 (1985);
19. V. Veniard, M. Gavrila, and A. Maquet, Phys. Rev. A 35, 448 (1987);
20. M. Gavrila, A. Maquet, and V. Veniard, Phys. Rev. A 42, 236 (1990).
21. V. Florescu and V. Djamo, Phys. Lett. A 119, 73 (1986);
22. M. Dondera and V. Florescu, Phys. Rev. A 48, 4267 (1993).
23. N. L. Manakov, S. I. Marmo, and A. G. Faǐnshteǐn, Zh. Éksp. Teor.Fiz. 108, 1569 (1995)
24. [JETP 81, 860 (1995)].
25. A. V. Korol, J. Phys. B 28, 3873 (1995).
26. A. V. Korol, J. Phys. B 29, 3257 (1996).
27. T. A. Fedorova, A. V. Korol, and I. A. Solovjev, J. Phys. B 33, 5007 (2000).
28. A. V. Korol, J. Phys. B 30, 413 (1997).
29. M. Dondera and V. Florescu, Phys. Rev. A 58, 2016 (1998).
30. A. V. Korol, J. Phys. B 27, 155 (1994).
31. G. Kracke, J. S. Briggs, A. Dubois, et al., J. Phys. B 27, 3241 (1994).
32. D. Andrick and L. Langhaus, J. Phys. B 9, L459 (1976).
33. A. Weingartshofer, J. K. Holmes, G. Caudle, et al., Phys. Rev. Lett. 39, 269 (1977).
34. B. Wallbank and J. K. Holmes, Phys. Rev. A 48, R2515 (1993);
35. J. Phys. B 27, 1221 (1994);
36. J. Phys. B 27, 5405 (1994);
37. J. Phys. B 29, 5881 (1996).
38. N. J. Mason, Rep. Prog. Phys. 56, 1275 (1993).
39. F. V. Bunkin and M. V. Fedorov, Zh. Éksp. Teor. Fiz. 49, 1569 (1965)
40. [Sov. Phys. JETP 22, 1071 (1966)].
41. F. V. Bunkin, A. E. Kazakov, and M. V. Fedorov, Usp. Fiz. Nauk 107, 559 (1972)
42. [Sov. Phys. Usp. 15, 416 (1972)].
43. N. M. Kroll and K. M. Watson, Phys. Rev. A 8, 804 (1973).
44. M. H. Mittleman, Phys. Rev. A 19, 134 (1979);
45. M. H. Mittleman, Phys. Rev. A 20, 1965 (1979);
46. M. H. Mittleman, Phys. Rev. A 21, 79 (1980).
47. L. Rosenberg, Phys. Rev. A 23, 2283 (1981).
48. S. Geltman, Phys. Rev. A 53, 3473 (1996);
49. S. Geltman, Phys. Rev. A 55, 3755 (1997).
50. L. B. Madsen and K. Taulbjerg, J. Phys. B 31, 4701 (1998).
51. N. J. Kylstra and C. J. Joachain, Phys. Rev. A 58, R26 (1998);
52. N. J. Kylstra and C. J. Joachain, Phys. Rev. A 60, 2255 (1999).
53. L. W. Garland, A. Jaroń, J. Z. Kamiński, and R. M. Potvliege, J. Phys. B 35, 2861 (2002).
54. I. Ya. Berson, Zh. Éksp. Teor. Fiz. 80, 1727 (1981)
55. [Sov. Phys. JETP 53, 891 (1981)].
56. F. Ehlotzky, A. Jaroń, and J. Z. Kamiński, Phys. Rep. 297, 63 (1998).
57. A. G. Fainshtein, N. L. Manakov, and S. I. Marmo, Phys. Lett. A 195, 358 (1994).
58. R. V. Karapetyan and M. V. Fedorov, Zh. Éksp. Teor. Fiz. 75, 816 (1978)
59. [Sov. Phys. JETP 48, 412 (1978)].
60. R. Daniele and E. Fiordilino, Nuovo Cimento D 18, 547 (1996).
61. A. Florescu and V. Florescu, Phys. Rev. A 61, 033406 (2000).
62. V. P. Kraǐnov and S. P. Roshchupkin, Zh. Éksp. Teor. Fiz. 84, 1302 (1983)
63. [Sov. Phys. JETP 57, 754 (1983)].
64. A. Florescu and V. Florescu, Phys. Lett. A 226, 280 (1997).
65. M. H. Mittleman, J. Phys. B 26, 2709 (1993).
66. P. D. Fainstein and A. Maquet, J. Phys. B 27, 5563 (1994).
67. D. Khalil, O. E. Akramine, A. Makhoute, et al., J. Phys. B 31, 1115 (1998);
68. O. E. Akramine, A. Makhoute, D. Khalil, et al., J. Phys. B 32, 2783 (1999).
69. N. L. Manakov, S. I. Marmo, and A. V. Meremianin, J. Phys. B 29, 2711 (1996).
70. A. A. Balakin and G. M. Fraǐman, Zh. Éksp. Teor. Fiz. 120, 797 (2001)
71. [JETP 93, 695 (2001)].
72. L. P. Rapoport and A. S. Kornev, Zh. Éksp. Teor. Fiz. 116, 1241 (1999)
73. [JETP 89, 664 (1999)];
74. L. P. Rappoport and A. S. Kornev, J. Phys. B 33, 87 (2000).
75. A. Cionga, F. Ehlotzky, and G. Zloh, Phys. Rev. A 62, 063406 (2000);
76. J. Phys. B 33, 4939 (2000).
77. A. A. Krylovetskiǐ, N. L. Manakov, and S. I. Marmo, Zh. Éksp. Teor. Fiz. 119, 45 (2001)
78. [JETP 92, 37 (2001)].
79. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum (Nauka, Leningrad, 1975; World Sci., Singapore, 1988).
80. N. L. Manakov, A. V. Meremianin, and A. F. Starace, Phys. Rev. A 57, 3233 (1998).
81. J. S. Briggs and V. Schmidt, J. Phys. B 33, R1 (2000).
82. N. L. Manakov, A. Maquet, S. I. Marmo, et al., J. Phys. B 32, 3747 (1999).
83. N. L. Manakov and A. V. Merem'yanin, Zh. Éksp. Teor. Fiz. 112, 1984 (1997)
84. [JETP 84, 1080 (1997)].
85. H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One- and Two-Electron Atoms (Academic, New York, 1957; Fizmatgiz, Moscow, 1960).
86. Heigher Transcendental Functions (Bateman Manuscript Project), Ed. by A. Erdelyi (McGraw-Hill, New York, 1953; Nauka, Moscow, 1974), Vol. 1.
87. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1974; Pergamon, New York, 1977).
88. L. C. Biedenharn, J. L. McHale, and R. M. Thaler, Phys. Rev. 100, 376 (1955).
89. N. L. Manakov, M. A. Preobrazhenskiǐ, L. P. Rapoport, and A. G. Faǐnshteǐn, Zh. Éksp. Teor. Fiz. 75, 1243 (1978)
90. [Sov. Phys. JETP 48, 626 (1978)];
91. N. C. Sil, M. A. Crees, and M. J. Seaton, J. Phys. B 17, 1 (1984);
92. B. Gao and A. F. Starace, Comput. Phys. 6, 70 (1987).
93. J. L. Madajczyk and M. Trippenbach, J. Phys. A 22, 2369 (1989).
94. L. Pan, J. Mod. Opt. 36, 877 (1989);
95. V. Veniard and B. Piraux, Phys. Rev. A 41, 4019 (1990);
96. A. V. Korol, J. Phys. B 27, L103 (1994);
97. T. Mercouris, Y. Komninos, S. Dionissopoulou, and C. A. Nicolaides, J. Phys. B 29, L13 (1996).
98. N. L. Manakov, S. I. Marmo, and A. V. Shaposhnikov, in Atoms and Molecules in Strong Field of Laser Radiation, Ed. by F. V. Bunkin and I. I. Tugov (Wiley-Nauka, Moscow, 1992), p. 87.
99. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Nauka, Moscow, 1971; Academic, New York, 1980).
100. S. D. Oh and R. H. Pratt, Phys. Rev. A 45, 1583 (1992).
101. C. D. Shaffer, R. H. Pratt, and S. D. Oh, Phys. Rev. A 57, 227 (1998).
102. Z. Deng and J. H. Eberly, Phys. Rev. Lett. 53, 1810 (1984);
103. J. Opt. Soc. Am. B 2, 486 (1985).
104. M. Trippenbach, K. Rzazewski, M. V. Fedorov, and A. E. Kazakov, J. Phys. B 22, 1193 (1989).
105. O. V. Tikhonova, A. M. Popov, and M. V. Fedorov, Phys. Rev. A 65, 053404 (2002).
106. L. Hostler, J. Math. Phys. 5, 591 (1964).