Abstract
We discuss an extension of Time dependent (TD) mean field theories such as TD Hartree Fock (TDHF) or TD Kohn-Sham (TDKS) in order to include dissipative effects as observed in many experimental situations. Applications to molecular problems are outlined. We present in particular a 1D model allowing to test a promising approach to include dissipative features in a quantum time dependent mean field. First results are presented in schematic cases.
Highlights
Mean field theory, and its time dependent (TD) extension, constitutes a sound starting basis for the description of numerous dynamical situations in a variety of many-fermion systems ranging from nuclei [1] to molecules and clusters [2]
We propose a stochastic extension of TD Hartree Fock (TDHF)/TDLDA which should allow to envision on short term the inclusion of dissipative effects in a quantum mechanical framework, and applications to realistic test cases both in the nuclear and the molecular contexts
The aim of this paper is to propose a reformulation of Stochastic Time-Dependent Hartree-Fock (STDHF), reducing correlations to 2 particles-2 holes (2ph) excitations, which allows a practical implementation of STDHF at acceptable expense, as will be illustrated on one example
Summary
Its time dependent (TD) extension, constitutes a sound starting basis for the description of numerous dynamical situations in a variety of many-fermion systems ranging from nuclei [1] to molecules and clusters [2]. Nuclear TDHF calculations have, to a large extent, been developed around effective density dependent functionals, typically Skyrme interactions, since several decades and have reached a high level of sophistication [3]. The simplest mean field approximation thereof is known as Local Density Approximation (LDA and TDLDA), which again relies on a density dependent effective Hamiltonian [4] Both nuclear TDHF and electronic TDLDA are using single particle density as a key input and bear strong formal resemblances, which reflect physical similarities in several observables [5]. One can mention as a typical example collective motion, in particular the Giant Dipole Resonance in nuclei [1] and its counterpart the Mie plasmon (or more generally speaking the optical response) in metal clusters [2]
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