Eigenstates of the time-dependent density-matrix theory

Details Eigenstates of the time-dependent density-matrix theory Eigenstates of the time-dependent density-matrix theory

2003-05-29

arxiv.org/abs/nucl-th/0305088v1

Physics

Nuclear Physics

Nuclear Theory

8 pages, 1 figure

Scientific paper

10.1140/epja/i2003-10145-8

An extended time-dependent Hartree-Fock theory, known as the time-dependent density-matrix theory (TDDM), is solved as a time-independent eigenvalue problem for low-lying $2^+$ states in $^{24}$O to understand the foundation of the rather successful time-dependent approach. It is found that the calculated strength distribution of the $2^+$ states has physically reasonable behavior and that the strength function is practically positive definite though the non-hermitian hamiltonian matrix obtained from TDDM does not guarantee it. A relation to an extended RPA theory with hermiticity is also investigated. It is found that the density-matrix formalism is a good approximation to the hermitian extended RPA theory.

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