The superhamiltonian formalism is used to construct a totally symmetric superdensity for a system whose ground state corresponds to a multidimensional irreducible representation of the symmetry group of the Hamiltonian. A Hohenberg-Kohn theorem is proven and the Levy constrained-search procedure is adapted. An appropriate generalization allows the application of this procedure to degenerate excited states. (C) 2001 John Wiley & Sons, Inc. [References: 17]
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机译：超哈密尔顿形式主义用于为系统建立一个完全对称的超密度，该系统的基态对应于哈密顿量对称群的多维不可约表示。证明了Hohenberg-Kohn定理，并采用了Levy约束搜索程序。适当的概括允许应用此过程来退化激发态。 （C）2001 John Wiley＆Sons，Inc. [参考：17]
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