A diagonalization algorithm revisited and applied to the nuclear shell model

D Bianco (1, 2) , F Andreozzi (1, 2) , N Lo Iudice (1, 2) , A Porrino (1, 2) , F Knapp (2, 3)

1 Dipartimento di Scienze Fisiche [Naples]
2 Sezione di Napoli
3 Faculty of Mathematics and Physics [Praha/Prague]

An importance sampling iterative algorithm for diagonalizing large matrices is upgraded and adopted for large scale nuclear shell model calculations using a spin uncoupled basis. Its numerical implementation shows that the iterative procedure converges rapidly to the exact eigensolutions achieving an effective drastic cut of the sizes of the Hamiltonian matrix.

Mots clés: Physical Sciences

D Bianco, F Andreozzi, N Lo Iudice, A Porrino, F Knapp. A diagonalization algorithm revisited and applied to the nuclear shell model. Journal of Physics G: Nuclear and Particle Physics, 2011, 38 (2), pp.25103. ⟨10.1088/0954-3899/38/2/025103⟩. ⟨hal-00600877⟩