Singularity-free breit equation from constraint two-body dirac equations

International Journal of Modern Physics E

Volumn 5, Issue 4, 1996, Pages 589-615

  Crater, Horace W ^a   Wong, Chun W A ^b   Wong, Cheuk Yin ^c  

^a UNIVERSITY OF TENNESSEE SPACE INSTITUTE   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c OAK RIDGE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030354999     PISSN: 02183013     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218301396000323     Document Type: Article

References (31)

1. G. Breit, Phys. Rev. 34, 553 (1929).
2. N. Kemmer, Helv. Phys. Act. 10, 48 (1937); E. Fermi and C. N. Yang, Phys. Rev. 76, 1739 (1949); H. M. Mosley and N. Rosen, Phy. Rev. 80, 177 (1950).
3. N. Kemmer, Helv. Phys. Act. 10, 48 (1937); E. Fermi and C. N. Yang, Phys. Rev. 76, 1739 (1949); H. M. Mosley and N. Rosen, Phy. Rev. 80, 177 (1950).
4. N. Kemmer, Helv. Phys. Act. 10, 48 (1937); E. Fermi and C. N. Yang, Phys. Rev. 76, 1739 (1949); H. M. Mosley and N. Rosen, Phy. Rev. 80, 177 (1950).
5. H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One and Two Electron Atoms (Springer, Berlin, 1957).
6. W. Krolikowski, Acta Physica Polonica B12, 891 (1981). Nonperturbative treatments of the truncated version of the Breit equation (with just the Coulomb term) have yielded the same results as a perturbative treatment of the same truncations but none of these have included the troublesome transverse photon parts. See J. Malenfant, Phys. Rev. A43, 1233 (1991), and T. C. Scott, J. Shertzer and R. A. Moore, ibid. 45, 4393 (1992).
7. W. Krolikowski, Acta Physica Polonica B12, 891 (1981). Nonperturbative treatments of the truncated version of the Breit equation (with just the Coulomb term) have yielded the same results as a perturbative treatment of the same truncations but none of these have included the troublesome transverse photon parts. See J. Malenfant, Phys. Rev. A43, 1233 (1991), and T. C. Scott, J. Shertzer and R. A. Moore, ibid. 45, 4393 (1992).
8. W. Krolikowski, Acta Physica Polonica B12, 891 (1981). Nonperturbative treatments of the truncated version of the Breit equation (with just the Coulomb term) have yielded the same results as a perturbative treatment of the same truncations but none of these have included the troublesome transverse photon parts. See J. Malenfant, Phys. Rev. A43, 1233 (1991), and T. C. Scott, J. Shertzer and R. A. Moore, ibid. 45, 4393 (1992).
9. R. W. Childers, Phys. Rev. D26, 2902 (1982).
10. C. W. Wong and C. Y. Wong, Phys. Lett. B301, 1 (1993).
11. C. W. Wong and C. Y. Wong, Nucl. Phys. A562, 598 (1993).
12. Y. Koide, Prog. Theo. Phys. 39, 817 (1968); Nuovo Cim. 70, 411 (1982).
13. Y. Koide, Prog. Theo. Phys. 39, 817 (1968); Nuovo Cim. 70, 411 (1982).
14. P. A. M. Dirac, Lectures on Quantum Mechanics (Yeshiva University, New York, 1964).
15. P. Van Alstine and H. W. Crater, J. Math. Phys. 23, 1997 (1982); H. W. Crater and P. Van Alstine, Ann. Phys. 148, 57 (1983).
16. P. Van Alstine and H. W. Crater, J. Math. Phys. 23, 1997 (1982); H. W. Crater and P. Van Alstine, Ann. Phys. 148, 57 (1983).
17. H. W. Crater and P. Van Alstine, Phys. Rev. Lett. 53, 1577 (1984); P. Van Alstine and H. W. Crater, Phys. Rev. D34, 1932 (1986); H. W. Crater and P. Van Alstine, Phys. Rev. D1, 37, 1982 (1988).
18. H. W. Crater and P. Van Alstine, Phys. Rev. Lett. 53, 1577 (1984); P. Van Alstine and H. W. Crater, Phys. Rev. D34, 1932 (1986); H. W. Crater and P. Van Alstine, Phys. Rev. D1, 37, 1982 (1988).
19. H. W. Crater and P. Van Alstine, Phys. Rev. Lett. 53, 1577 (1984); P. Van Alstine and H. W. Crater, Phys. Rev. D34, 1932 (1986); H. W. Crater and P. Van Alstine, Phys. Rev. D1, 37, 1982 (1988).
20. H. W. Crater, R. Becker, C. Y. Wong, and P. Van Alstine, Phys. Rev. D46, 5117 (1992).
21. I. T. Todorov, Dynamics of Relativistic Point Particles as a Problem with Constraints, Dubna Joint Institute for Nuclear Research No. E2-10175, 1976; Ann. Inst. H. Poincaré A28, 207 (1978).
22. I. T. Todorov, Dynamics of Relativistic Point Particles as a Problem with Constraints, Dubna Joint Institute for Nuclear Research No. E2-10175, 1976; Ann. Inst. H. Poincaré A28, 207 (1978).
23. 2]- ψ = 0).
24. H. W. Crater and P. Van Alstine, Phys. Rev. D36, 3007 (1987).
25. H. W. Crater and P. Van Alstine, J. Math. Phys. 31, 1998 (1990).
26. H. Sazdjian, Phys. Rev. D1, 33, 3401 (1986), derives compatible two-body Dirac equations but from a different starting point without the use of supersymmetry.
27. J. Mourad and H. Sazdjian, J. Phys. G21, 267 (1995).
28. H. W. Crater and P. Van Alstine, Found. Phys. 24, 297 (1994).
29. 0 of Eq. (2.16).
30. A. O. Barut and S. Korny, Fortschr. Phys. 33, 309 (1985); A. O. Barut and N. Ünal, Fortschr. Phys. 33, 318 (1985).
31. A. O. Barut and S. Korny, Fortschr. Phys. 33, 309 (1985); A. O. Barut and N. Ünal, Fortschr. Phys. 33, 318 (1985).