D’Alembert’s Matrix Functional Equation with an Endomorphism on Abelian Groups
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DOI: 10.1007/s00025-020-01265-6
Abstract: Let G be an abelian group, let $$M_{2}(\mathbb {C})$$ be the algebra of complex $$2\times 2$$ matrices, and let $$\varphi :G\rightarrow G$$ be an endomorphism that need not be involutive. We determine the solutions $$\Phi… read more here.
Keywords: endomorphism; functional equation; rightarrow mathbb; phi ... See more keywords
Fundamental Variable and Density Representation in Multistate DFT for Excited States.
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DOI: 10.1021/acs.jctc.2c00859
Abstract: Complementary to the theorems of Hohenberg and Kohn for the ground state, Theophilou's subspace theory establishes a one-to-one relationship between the total eigenstate energy and density ρV(r) of the subspace spanned by the lowest N… read more here.
Keywords: fundamental variable; density; multistate; matrix functional ... See more keywords