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.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.