High-precision, variational, bound-state calculations in Coulomb three-body systems

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 62, Issue 6 B, 2000, Pages 8740-8745

  Frolov, Alexei M ^a  

^a UNIVERSITY OF WINDSOR   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; FORTRAN (PROGRAMMING LANGUAGE); HELIUM; POSITIVE IONS; PROGRAM TRANSLATORS;

BOUND-STATE CALCULATIONS; COULOMB THREE-BODY SYSTEMS; MOLECULAR IONS;

ELECTRON ENERGY LEVELS;

EID: 0034514255     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.8740     Document Type: Article

References (26)

1. David H. Bailey, ACM Trans. Math. Softw. 21, 379 (1995), and references therein. The name of the package is MPFUN.
2. A. M. Frolov, Phys. Rev. A 59, 4270 (1999).
3. S. D. Lakdawala and P. J. Mohr, Phys. Rev. A 22, 1572 (1980); 24, 2224 (1981).
4. S. D. Lakdawala and P. J. Mohr, Phys. Rev. A 22, 1572 (1980); 24, 2224 (1981).
5. K. N. Huang and V. W. Hughes, Phys. Rev. A 20, 706 (1979); 21, 1071E (1980); 26, 2330 (1982).
6. K. N. Huang and V. W. Hughes, Phys. Rev. A 20, 706 (1979); 21, 1071E (1980); 26, 2330 (1982).
7. K. N. Huang and V. W. Hughes, Phys. Rev. A 20, 706 (1979); 21, 1071E (1980); 26, 2330 (1982).
8. R. J. Drachman, J. Phys. B 14, 2733 (1981); 16, L749 (1983).
9. R. J. Drachman, J. Phys. B 14, 2733 (1981); 16, L749 (1983).
10. A. M. Frolov, Phys. Rev. A 61, 022509 (2000).
11. A. M. Frolov, Phys. Rev. A (to be published).
12. C. L. Schwartz, Phys. Rev. 123, 1700 (1961).
13. A. M. Frolov, Phys. Rev. A 57, 2436 (1998).
14. M. Born and J. R. Oppenheimer, Ann. Phys. (Paris) (Paris) 84, 457 (1927).
15. G. E. Forsythe, M. A. Malcom, and C. B. Moller, Computer Methods for Mathematical Computations (Prentice-Hall, Englewood Cliffs, NJ, 1977); see also R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, England, 1985).
16. G. E. Forsythe, M. A. Malcom, and C. B. Moller, Computer Methods for Mathematical Computations (Prentice-Hall, Englewood Cliffs, NJ, 1977); see also R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, England, 1985).
17. J. J. Dongara, J. R. Bunch, C. B. Moler, and G. W. Steart, LINPACK User's Guide (SIAM, Philadelphia, 1979), and references therein.
18. P. R. Halmos, Finite-Dimensional Vector Spaces (D. Van Nostrand Company, Princeton, NJ, 1958).
19. E. R. Cohen and B. N. Taylor, Phys. Today 52(8), 9 (1999).
20. N. H. March, W. H. Young, and S. Sampanthar, The Many-Body Problem In Quantum Mechanics (Dover Publications, New York, 1995), pp. 36-42.
21. T. Kato, Commun. Pure Appl. Math. 10, 151 (1957).
22. R. T. Pack and W. Byers-Brown, J. Chem. Phys. 45, 556 (1966).
23. A. K. Bhatia and R. J. Drachman, Phys. Rev. A 30, 2138 (1984).
24. A. M. Frolov and V. D. Efros, Pis'ma Zh. Éksp. Teor. Fiz. 39, 544 (1984) [JETP Lett. 39, 449 (1984)].
25. A. M. Frolov and V. D. Efros, Pis'ma Zh. Éksp. Teor. Fiz. 39, 544 (1984) [JETP Lett. 39, 449 (1984)].
26. A. K. Bhatia and R. J. Drachman, Comments At. Mol. Phys. 22, 281 (1989).