Hartree-Fock theory in nuclear physics

D. Gogny; P. L. Lions

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1986)

  • Volume: 20, Issue: 4, page 571-637
  • ISSN: 0764-583X

How to cite

top

Gogny, D., and Lions, P. L.. "Hartree-Fock theory in nuclear physics." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 20.4 (1986): 571-637. <http://eudml.org/doc/193491>.

@article{Gogny1986,
author = {Gogny, D., Lions, P. L.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {minimization problems; Slater determinants; nonlinear Schrödinger equations; concentration-compactness method; interaction of nucleons; translation invariance; Hartree-Fock approximation; many-body problems; Quantum Mechanics; spin-dependence; spin-orbit forces},
language = {eng},
number = {4},
pages = {571-637},
publisher = {Dunod},
title = {Hartree-Fock theory in nuclear physics},
url = {http://eudml.org/doc/193491},
volume = {20},
year = {1986},
}

TY - JOUR
AU - Gogny, D.
AU - Lions, P. L.
TI - Hartree-Fock theory in nuclear physics
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1986
PB - Dunod
VL - 20
IS - 4
SP - 571
EP - 637
LA - eng
KW - minimization problems; Slater determinants; nonlinear Schrödinger equations; concentration-compactness method; interaction of nucleons; translation invariance; Hartree-Fock approximation; many-body problems; Quantum Mechanics; spin-dependence; spin-orbit forces
UR - http://eudml.org/doc/193491
ER -

References

top
  1. [1] J. F. G. AUCHMUTY and R. BEALS, Arch. Rat. Mech. Anal, 65 (1977), pp. 249-261. Zbl0366.76083MR446076
  2. [2] J. F. G. AUCHMUTY and R. BEALS, Astrophys J., 165 (1971), pp. 79-82. 
  3. [3] J. B. BARDEEN, L. N. COOPER and J. R. SCHRIEFFER, Phys. Rev., 10P (1957), p. 1175. Zbl0090.45401
  4. [4] B. BAUMGARTNER, Comm. Math. Phys., 47 (1976), pp. 215-219. MR406156
  5. [5] H. BERESTYCKI and P. L. LIONS, Arch. Rat. Mech. Anal., 82 (1983), pp. 313-346, and pp. 347-375. Zbl0556.35046MR695536
  6. [6] J. F. BERGER, M. GIROD and D. GOGNY, Nucl. Phys. A. , 428 (1984), pp. 236-296. 
  7. [7] H. BETHE, Ann. Rev. Nucl. Sci., 11 (1971), pp. 93-244. 
  8. [8] H. BETHE, Phys. Rev. , 167 (1968), p. 879. 
  9. [9] C. BLOCH and A. MESSIAH, Nucl. Phys., 39 (1962), p. 95. Zbl0127.45701MR145923
  10. [10] N. N. BOGOLYUBOV, Sov. Phys. JETP, 7 (1958), p 41 , Sov. Phys. Usp., 2 (1959), p. 236., Usp. Fiz. Nauk. 67 (1959), p. 549. 
  11. [11] A. BOHR, Mat. Fys. Medd. Dan. Vid. Setsh., 26 (1952). 
  12. [12] T. CAZENAVE and P. L. LIONS, Comm. Math. Phys., 85 (1982), pp. 549-561. Zbl0513.35007MR677997
  13. [13] C. V. COFFMAN, Arch. Rat. Mech. Anal., 46 (1972), pp. 81-95. Zbl0249.35029MR333489
  14. [14] J. DECHARGÉ and D. GOGNY, Phys. Rev. C., 21 (1980), pp. 1568-1593. 
  15. [15] M. EFFER, Cours à l'IN2 P3, École Juliot Curie de Physique Nucleaire, 1983. 
  16. [16] H. FLOCARD, Nukleonika, 24 (1979), pp. 19-66. 
  17. [17] V. FOCK, Z. Phys., 61 (1930), pp. 126-148. JFM56.1313.08
  18. [18] J. GINIBRE and G. VELO, J. Funct. Anal., 32 (1979), pp. 1-72, Ann. I. H. P. A. 28 (1978), pp. 287-316. MR533219
  19. [19] J. GINIBRE and G. VELO, Mat. Zeit., C. R. Acad. Sci. Paris 288 (1979), pp. 683-686. Zbl0397.35013MR533902
  20. [20] J. GINIBRE and G. VELO. Ann. I. H. P. Anal. Non. Lin. (1985). 
  21. [21] M. GIROD and B. GRAMMATICOS, Phys. Rev. C., 27 (1981), p. 2317. 
  22. [22] J. GOLDSTONE, Nuov. Cim., 19 (1961), p. 154. Zbl0099.23006MR128374
  23. [23] D. HARTREE, Proc. Cambridge Philos. Soc., 24 (1928), pp. 89-132. 
  24. [24] P. W. HIGGS, Phys. Lett., 12 (1964), p. 132. 
  25. [25] K. KUMAR, Ch. LAGRANGE and M. GIROD, Phys. Rev. C. 3, 31 (1985), p. 762. 
  26. [26] E. H. LIEB, Phys. Rev. Lett. 46 (1981), pp. 457-459 and 47 (1981), p.68. MR601336
  27. [27] E. H. LIEB, Rev. Mod. Phys., 53 (1981), pp. 603-641. Zbl1114.81336
  28. [28] E. H. LIEB, Studies in Appl. Math., 57 (1977), pp. 93-105. Zbl0369.35022MR471785
  29. [29] E. H. LIEB, In Proc. Int. Cong. Math. Vancouver, 1974, pp. 383-386. 
  30. [30] E. H. LIEB and B. SIMON, Comm. Math. Phys., 53 (1977), pp. 185-194. MR452286
  31. [31] E. H. LIEB and B. SIMON, Adv. Math., 23 (1977), pp. 22-116. Zbl0938.81568MR428944
  32. [32] P. L. LIONS, C. R. Acad Sci Paris, 294 (1982), pp. 377-379. Zbl0488.35072MR658560
  33. [33] P. L. LIONS, Ann. I. H. P. Anal. Nonlin, 1 (1984), pp. 109-135 and pp. 223-283. C. R. Acad. Sci. Paris, 294 (1982), pp. 261-264. MR778974
  34. [34] P. L. LIONS Riv. Math. Iberoamericana, 1 (1985), pp. 145-201 and pp. 45-121, C. R. Acad. Sci. Paris, 296 (1983), pp. 645-648. 
  35. [35] P. L. LIONS, In « Nonlinear Variational problems», Pitman, London, 1985. MR807536
  36. [36] P. L. LIONS, J. Funct. Anal. 41 (1981), pp. 236-275. Zbl0464.49019MR615163
  37. [37] P. L. LIONS, J. Funct. Anal., 49 (1982), pp. 315-334. Zbl0501.46032MR683027
  38. [38] P. L. LIONS, Nonlinear Anal. T. M. A., 5 (1981), pp. 1245-1256. Zbl0472.35074MR636734
  39. [39] P. L. LIONS, In Nonlinear Problems Present and Future, Eds A. Bishop, D. Campell, B. Nicolaenko, North-Holland, Amsterdam, 1983. MR675623
  40. [40] P. L. LIONS, Nonlinear Anal T. M. A., 4 (1980), pp. 1063-1073. Zbl0453.47042MR591299
  41. [41] J. W. NEGELE, Physics To Day (1985). 
  42. [42] J. W. NEGELE, Rev Modern Phys., 54 (1982), pp. 913-1015. 
  43. [43] J. W. NEGELE, Phys Rev. C 1, 4 (1970), p. 1260. 
  44. [44] P. QUENTIN and H. FLOCARD, Ann. Rev. Nucl. Part. Sci., 28 (1978), pp. 523-596. 
  45. [45] J. C. SLATER, Phys. Rec., 81 (1951), pp. 385-390. Zbl0042.23202
  46. [46] W. STRAUSS, Comm. Math. Phys., 55 (1977), pp. 149-162. Zbl0356.35028MR454365
  47. [47] J. G. VALATIN, Phys. Rev., 122 (1961), p. 1012. Zbl0097.43603MR121197
  48. [48] D. VAUTHERIN and D. M. BRINK, Phys. Rev. C., 9 (1972), p. 626-647. 

NotesEmbed ?

top

You must be logged in to post comments.