Point symmetries in the Hartree-Fock approach. I. Densities, shapes, and currents

Physical Review C - Nuclear Physics

Volumn 62, Issue 1, 2000, Pages 143101-1431013

  Dobaczewski, J ^a,b   Dudek, J ^b   Rohozinski S G ^a   Werner, T R ^a,b  

^a UNIVERSITY OF WARSAW   (Poland)

^b CENTRE DE CALCUL DE L INSTITUT NATIONAL DE PHYSIQUE NUCLEAIRE ET DE PHYSIQUE DES PARTICULES   (France)

Author keywords

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Indexed keywords

EID: 12944262340     PISSN: 05562813     EISSN: 1089490X     Source Type: Journal    
DOI: 10.1103/PhysRevC.62.014310     Document Type: Article

References (25)

1. [1] P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer-Verlag, Berlin, 1980).
2. [2] M. Hamermesh, Group Theory (Addison-Wesley, Reading, MA, 1962).
3. [3] G.F. Koster, J.O. Dimmock, R.G. Wheeler, and H. Statz, Properties of the Thirty-Two Point Groups (MIT Press, Cambridge, MA, 1963).
4. [4] L.D. Landau and E.M. Lifschitz, Quantum Mechanics (Non-relativistic Theory) (Pergamon Press, New York, 1981).
5. [5] J.F. Cornwell, Group Theory in Physics (Academic Press, New York, 1984).
6. [6] Ch.W. Curtis and I. Rainer, Representation Theory of Finite Groups and Associative Algebras (Interscience Publishers, New York, 1962).
7. [7] C.J. Bradley and A.P. Cracknell, The Mathematical Theory of Symmetry in Solids (Clarendon Press, Oxford, 1972).
8. [8] E.P. Wigner, Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra (Academic Press, New York, 1959).
9. [9] P. Bonche, H. Flocard, and P.-H. Heenen, Nucl. Phys. A467, 115 (1987).
10. [10] J. Dobaczewski and J. Dudek, Comput. Phys. Commun. 102, 166 (1997); 102, 183 (1997).
11. [10] J. Dobaczewski and J. Dudek, Comput. Phys. Commun. 102, 166 (1997); 102, 183 (1997).
12. [11] J.W. Negele, Lecture Notes in Physics 40 (Springer, Berlin, 1975), pp. 285, 288.
13. [12] R.M. Dreizler and E.K.U. Gross, Density Functional Theory (Springer, Berlin, 1990).
14. [13] P. Quentin and H. Flocard, Annu. Rev. Nucl. Part. Sci. 28, 523 (1978).
15. [14] J. Dobaczewski, J. Dudek, S.G. Rohoziński, and T.R. Werner, Phys. Rev. C 62, 014311 (2000), the following paper.
16. [15] A. Messiah, Quantum Mechanics (Wiley, New York, 1962).
17. [16] In this article, superscript Τ always means that the corresponding operator contains factor Τ̂; this should not be confused with the notation for the transposition operation.
18. [17] M. Girod and B. Grammaticos, Phys. Rev. C 27, 2317 (1983).
19. [18] The phase convention implied by Eq. (27b) agrees with that of Varshalowitch et al. [21], and thus it is opposite to the one used by Bohr and Mottelson [24].
20. [19] G. Ripka, Adv. Nucl. Phys. 1, 183 (1968).
21. [20] Y.M. Engel, D.M. Brink, K. Goeke, S.J. Krieger, and D. Vautherin, Nucl. Phys. A249, 215 (1975).
22. [21] D.A Varshalovitch, A.N. Moskalev, and V.K. Kersonskii, Quantum Theory of Angular Momentum (World Scientific, Singapore, 1988).
23. [22] We adopt the general phase convention [21] valid for arbitrary irreducible tensor operators. However, note that for the integer-angular-momentum irreps, the signs of magnetic components appearing in the phase factors can be arbitrarily changed.
24. [23] S. Frauendorf, Rev. Mod. Phys. (to be published).
25. [24] A. Bohr and B.R. Mottelson Nuclear Structure (Benjamin, New York, 1969), Vol. I, p. 19.