Summation rules for Coulomb wavefunction products

Journal of Physics B: Atomic, Molecular and Optical Physics

Volumn 34, Issue 1, 2001, Pages 49-58

  Cherkani, M H ^c   Brouillard, F ^a   Chibisov, M ^b  

^a Unite Fyam   (Belgium)

^b KURCHATOV INSTITUTE   (Russian Federation)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRON ENERGY LEVELS; ELECTRON TRANSITIONS; GREEN'S FUNCTION; HYDROGEN; IONS; MOLECULAR PHYSICS;

COULOMB GREEN FUNCTION; COULOMB WAVEFUNCTIONS; QUANTUM NUMBER;

QUANTUM THEORY;

EID: 0035132235     PISSN: 09534075     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-4075/34/1/304     Document Type: Article

References (22)

1. Chibisov M I, Ermolaev A M, Brouillard F and Cherkani M H 2000 Phys. Rev. Lett. 84 451-4
2. Chibisov M I, Ermolaev A M, Cherkani M and Brouillard F 2000 Zh. Eksp. Teor. Fiz. 117 313-8
3. Komarov I V, Pogorelyj P A and Tibilov A S 1969 Opt. Spectrosc. 27 198
4. Presnyakov L P 1970 Phys. Rev. A 2 1720
5. Kereselidse T M and Chibisov M I 1975 Zh. Eksp. Teor. Fiz. 68 12
6. Demkov Yu N and Ostrovskii V N 1988 Zero-Range Potentials and Their Applications in Atomic Physics transl. A M Ermolaev (New York: Plenum) ch 7.4 An earlier edition is Demkov Yu N and Ostrovskii V N 1975 The Method of Zero-radius Potential in Atomic Physics (Leningrad: Leningrad State University) (in Russian)
7. Demkov Yu N and Ostrovskii V N 1988 Zero-Range Potentials and Their Applications in Atomic Physics transl. A M Ermolaev (New York: Plenum) ch 7.4 An earlier edition is Demkov Yu N and Ostrovskii V N 1975 The Method of Zero-radius Potential in Atomic Physics (Leningrad: Leningrad State University) (in Russian)
8. Beigman I L, Urnov A M and Shevel'ko V P 1970 Sov. Phys.-JETP 31 978
9. Beigman I L and Urnov A M 1974 J. Quant. Spectrosc. Radiat. Transfer 14 1009
10. Vainshtein L A, Sobelman I I and Yukov E A 1979 Excitation of Atoms and Spectrum Line Broadening (Moscow: Nauka)
11. Fock V A 1935 Z. Phys. 98 145
12. Bratstev V F and Trifonov E D 1962 Vestn. Leningr. Univ. Ser. Fiz. 16 36
13. Schwinger J 1964 J. Math. Phys. 5 1606
14. Hostler L and Pratt R H 1963 Phys. Rev. Lett. 10 469
15. Hostler L 1964 J. Math. Phys. 5 591
16. Gradshtein I S and Ryzhik I M 1962 Tables of Integrals, Sums, Series and Products (Moscow: Fiz. Mat.)
17. Maquet A, Veniard V and Marian T A 1998 J. Phys. B: At. Mol. Opt. Phys. 31 3743
18. Manakov N L, Ovsiannikov V D and Rapoport L P 1986 Phys. Rep. 141 319
19. Baz' A I, Zel'dovich Ya B and Perelomov A M 1971 Scattering, Reactions and Decays in Nonrelativistic Quantum Mechanics (Moscow: Nauka) (in Russian)
20. Demkov Yu N and Komarov I V 1965 Vestn. Leningr. Univ. 10 18-28 (in Russian)
21. Landau L D and Lifshitz E M 1958 Quantum Mechanics: Nonrelativistic Theory (New York: Pergamon) see also Russian edition (Moscow: Nauka) 1989 (in Russian)
22. Brouillard F, Cherkani M H, Moskovkin P G and Chibisov M I 2000 Phys. Rev. A submitted