Classical mechanics technique for quantum linear response

Details Classical mechanics technique for quantum linear response Classical mechanics technique for quantum linear response

2000-03-10

arxiv.org/abs/cond-mat/0003164v1

J.Phys. B34 (2001) L401

Physics

Condensed Matter

4 Revtex pages; 2 PS figures embedded

Scientific paper

10.1088/0953-4075/34/12/102

It is shown that the lowest excitation energies of a quantum many-fermion system in the random phase approximation (RPA) can be obtained by minimizing an effective classical energy functional. The minimum can be found very efficiently using generalized Lanczos technique. Application of the new technique to molecular spectra allows to compute excited states at the expense comparable to the ground-state calculations. As an example, the first-principle RPA excitation spectrum of C60 molecule is computed taking into account all 240 valence electrons in the full valence space of the molecule. The results match linear absorption experiment within percents.

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