Antisymmetrization procedure of identical fermions states

Pleiades Publishing Ltd - Tập 6 - Trang 542-545 - 2009
A. Deveikis1
1Department of Applied Informatics, Vytautas Magnus University, Kaunas, Lithuania

Tóm tắt

An efficient procedure for antisymmetrization of an arbitrary system of identical fermions is presented. The approach is based on a simple enumeration scheme for antisymmetric A-particle states and an efficient algorithm for calculation of the coefficients of fractional parentage (CFPs) for a single j-shell with isospin. The developed approach is implemented in a new procedure for the calculation of the electric quadrupole moment matrix elements of light atomic nuclei in the isospin formalism.

Tài liệu tham khảo

G. P. Kamuntavicius, “The Reduced Hamiltonian Method in the Theory of the Identical Particles Systems Bound States,” Sov. J. Part. Nucl. 20, 261–292 (1989). A. Deveikis et al., “Calculation of Coefficients of Fractional Parentage for Large-Basis Harmonic-Oscillator Shell Model,” Ann. Phys. (N.Y.) 296, 287–298 (2002). A. Deveikis et al., “A Program for Generating One-Particle and Two-Particle Coefficients of Fractional Parentage for the Single J -Orbit with Isospin,” Comput. Phys. Commun. 173, 186–192 (2005). J. Levinsonas, Works of Lithuanian SSR Acad. Sci. 4(4), 17–31 (1957).