The Foldy-Wouthuysen transformation in the two-particle case

H. Sazdjian

Annales de l'I.H.P. Physique théorique (1987)

  • Volume: 47, Issue: 1, page 39-62
  • ISSN: 0246-0211

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Sazdjian, H.. "The Foldy-Wouthuysen transformation in the two-particle case." Annales de l'I.H.P. Physique théorique 47.1 (1987): 39-62. <http://eudml.org/doc/76371>.

@article{Sazdjian1987,
author = {Sazdjian, H.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {Foldy-Wouthuyen transformation operator; wave equations describing two interactive particle systems; Poincaré invariance; manifest covariance},
language = {eng},
number = {1},
pages = {39-62},
publisher = {Gauthier-Villars},
title = {The Foldy-Wouthuysen transformation in the two-particle case},
url = {http://eudml.org/doc/76371},
volume = {47},
year = {1987},
}

TY - JOUR
AU - Sazdjian, H.
TI - The Foldy-Wouthuysen transformation in the two-particle case
JO - Annales de l'I.H.P. Physique théorique
PY - 1987
PB - Gauthier-Villars
VL - 47
IS - 1
SP - 39
EP - 62
LA - eng
KW - Foldy-Wouthuyen transformation operator; wave equations describing two interactive particle systems; Poincaré invariance; manifest covariance
UR - http://eudml.org/doc/76371
ER -

References

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  1. [1] L.L. Foldy and S.S. Wouthuysen, On the Dirac theory of spin-1/2 particles and its non-relativistic limit. Phys. Rev., t. 78, 1950, p. 29-36. Zbl0039.22605
  2. [2] M.H. Pryce, The mass-centre in the restricted theory of relativity and its connexion with the quantum theory of elementary particles. Proc. Roy. Soc., t. A 195, 1948, p. 62-81. 1 Zbl0032.23605MR29776
  3. [3] S. Tani, Connection between particle models and field theories, I, The case spin-1/2, Prog. Theor. Phys., t. 6, 1951, p. 267-285. Zbl0043.42402MR44401
  4. [4] K.M. Case, Some generalizations of the Foldy-Wouthuysen transformation. Phys. Rev., t. 95, 1954, p. 1323-1328. Zbl0057.20601MR66971
  5. [5] H. Feshbach and F. Villars, Elementary relativistic wave mechanics of spin-0 and spin-1/2 particles. Rev. Mod. Phys., t. 30, 1958, p. 24-45. Zbl0082.21905MR93365
  6. [6] H. Sazdjian, Hidden chiral symmetry in the presence of mass terms. Phys. Rev., t. D34, 1986, p. 1200-1201. 
  7. [7] J. LLOSA (Ed.), Relativistic action at a distance: classical and quantum aspects, proceedings of the Barcelona Workshop, 1981. Lecture Notes in Physics, t. 162, Springer, Berlin, 1982. MR705646
  8. [8] G. Longhi and L. Lusanna ( Eds), Constraint's theory and relativistic dynamics, proceedings of the Firenze Workshop. 1986, World Scientific Publishing Co., Singapore, 1986. 
  9. [9] H. Sazdjian, Relativistic wave equations for the dynamics of two interacting particles. Phys. Rev., t. D33, 1986, p. 3401-3424. MR843325
  10. [10] H. Sazdjian, The scalar product in relativistic quantum mechanics of two interacting spin-0 particles. Phys. Lett., t. 180 B, 1986, p. 146-152 ; The scalar product in two-particle relativistic quantum mechanics. Orsay preprint IPNO/TH 86-34, 1986. 
  11. [11] H. Sazdjian, The connection of two-particle relativistic quantum mechanics with the Bethe-Salpeter equation. To appear in J. Math. Phys. Zbl0645.46062MR913416
  12. [12] H. Sazdjian, Light fermion bound states in two-particle relativistic quantum mechanics. Phys. Rev., t. D 33, 1986, p. 3435-3440. MR843327
  13. [13] H. Sazdjian, Relativistic quarkonium dynamics. Phys. Rev., t. D33, 1986, p. 3426-3434. MR843326
  14. [14] P.V. Alstine and H. Crater, Exact positronium like solution of the two-body Dirac equations. Phys. Rev., t. D34, 1986, p. 1932-1935. 

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