Matthieu Verstraete edited details.tex  over 9 years ago

Commit id: 15d2492210021225e304d0ef17f779e73cd35803

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\caption{Eigenstates for a one-dimensional lithium atom, the first eigenstate in the calculation is bosonic and hence removed from any further calculations. The next two states are energetically degenerate and correspond to diagrams b) and c) in Fig.\ \ref{fig:young}.}  \end{table}  The implementation also allows for the treatment of bosons bosons,  in which case the total wave function has to be symmetric under exchange of two particles. As a result, In this case,  none of the Young diagrams is forbidden forbidden,  since one can always find a spin part such that the total wave function becomes symmetric. In order for the (anti-)symmetrization to work properly one needs to declare each particle in the calculation to be a fermion, a boson, or an anyon. In the latter case, the corresponding spatial variables are not considered at all in the (anti-)symmetrization procedure. One can also have more than one type of fermions fermion  or bosons boson,  in which case the symmetric requirements are only enforced forthose  particles belonging to the same type.For those states that survive the (anti-)symmetrization octopus can output the density and the density matrix where the latter is provided in terms of its occupation numbers and natural orbitals. All those quantities are written into the modelmb folder in order to distinguish the one-dimensional density from its $N$ dimensional counterpart which is output in the normal static folder.