Collective motion of two-electron atom in hyperspherical adiabatic approximation: AIP Conference Proceedings: Vol 1653, No 1

Abstract

This work is devoted to calculate bound states in the two-electron atoms. The separation of variables has carried out in hyper spherical coordinate system (R, θ, α). Assuming collective motion of the electrons, where the hper angle (α∼π/4) and (θ∼π). The separation of the rotational variables leads to system of differential equations with more simple form as compared with non restricted motion. Energy of doubly excited P^e and D⁰ states are calculated semi classically by using quantization condition of Bohr -Somerfield. The results compared with previously published data.

REFERENCES

1. A. Temkin and A. k. Bhatia, Phys. Rev. 176, 80–90 (1968). https://doi.org/10.1103/PhysRev.176.80, Google ScholarCrossref, CAS
2. C. D. Lin and X. H. Liu, Phys. Rev. A 37, 2749–2763 (1988). https://doi.org/10.1103/PhysRevA.37.2749, Google ScholarCrossref, CAS
3. V. A. Fock, Izv. Akad. Nauk SSSR. 18, 161–174 (1954). Google Scholar
4. D. H. Herrick and O. Sinanoglu, Phys. Rev. A. 11, 97–106 (1975). https://doi.org/10.1103/PhysRevA.11.97, Google ScholarCrossref, CAS
5. D. R. Herrick, M. E. Keliman and R. D. Poliak, Phys. Rev. A. 22, 1517–1526 (1980). https://doi.org/10.1103/PhysRevA.22.1517, Google ScholarCrossref, CAS
6. S. I. Nikitin and V. N. Ostrovky, J. Phys. B. 18, 4349–4360 (1985). https://doi.org/10.1088/0022-3700/18/22/006, Google ScholarCrossref, CAS
7. S. I. Nikitin and V. N. Ostrovky, J. Phys. B. 18, 4371–4385 (1985). https://doi.org/10.1088/0022-3700/18/22/007, Google ScholarCrossref, CAS
8. J. H. Machek, Phys. Rev. B. 1, 831–845 (1968). Google Scholar
9. U. Fano, Rep. Prog. Phys. 46, 97–108 (1983). https://doi.org/10.1088/0034-4885/46/2/001, Google ScholarCrossref
10. J. M. Feagin, J. Machek and A. F. Starace, Phys.Rev. A. 32, 337–351 (1985). https://doi.org/10.1103/PhysRevA.32.3219, Google ScholarCrossref
11. C. D. Lin, Adv. Atom. Mol. Phys. 22, 77–98 (1986). https://doi.org/10.1016/S0065-2199(08)60335-8, Google ScholarCrossref, CAS
12. L. Lipsky and R. Anania, At. Data Nucl. Data Tables 20, 127–153 (1977). https://doi.org/10.1016/0092-640X(77)90042-0, Google ScholarCrossref, CAS
13. J. E.Lindroth, Phys. Rev. A. 49, 4473–4487 (1994). https://doi.org/10.1103/PhysRevA.49.4473, Google ScholarCrossref, CAS
© 2015 AIP Publishing LLC.

Article Metrics

Views

Citations

Crossref 0

Please Note: The number of views represents the full text views from December 2016 to date. Article views prior to December 2016 are not included.