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- W3102234981 startingPage "041103" @default.
- W3102234981 abstract "Processes related to electronically excited states are central in many areas of science; however, accurately determining excited-state energies remains a major challenge in theoretical chemistry. Recently, higher energy stationary states of non-linear methods have themselves been proposed as approximations to excited states, although the general understanding of the nature of these solutions remains surprisingly limited. In this letter, we present an entirely novel approach for exploring and obtaining excited stationary states by exploiting the properties of non-Hermitian Hamiltonians. Our key idea centres on performing analytic continuations of conventional quantum chemistry methods. Considering Hartree-Fock theory as an example, we analytically continue the electron-electron interaction to expose a hidden connectivity of multiple solutions across the complex plane, revealing a close resemblance between Coulson-Fischer points and non-Hermitian degeneracies. Finally, we demonstrate how a ground-state wave function can be morphed naturally into an excited-state wave function by constructing a well-defined complex adiabatic connection." @default.
- W3102234981 created "2020-11-23" @default.
- W3102234981 creator A5018690556 @default.
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- W3102234981 date "2019-01-28" @default.
- W3102234981 modified "2023-10-14" @default.
- W3102234981 title "Complex adiabatic connection: A hidden non-Hermitian path from ground to excited states" @default.
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- W3102234981 doi "https://doi.org/10.1063/1.5085121" @default.
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