Density-potential mapping in time-dependent density-functional theory

Maitra, N T; Todorov, T N; Woodward, C; Burke, K

doi:10.1103/physreva.81.042525

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Density-potential mapping in time-dependent density-functional theory

Maitra, N T·Todorov, T N·Woodward, C·Burke, K

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Abstract

The key questions of uniqueness and existence in time-dependent density-functional theory are usually formulated only for potentials and densities that are analytic in time. Simple examples, standard in quantum mechanics, lead, however, to nonanalyticities. We reformulate these questions in terms of a nonlinear Schroedinger equation with a potential that depends nonlocally on the wave function.

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74 ATOMIC AND MOLECULAR PHYSICS 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY CALCULATION METHODS DENSITY FUNCTIONAL METHOD DIFFERENTIAL EQUATIONS EQUATIONS FUNCTIONS MAPPING MECHANICS NONLINEAR PROBLEMS PARTIAL DIFFERENTIAL EQUATIONS POTENTIALS QUANTUM MECHANICS SCHROEDINGER EQUATION TIME DEPENDENCE VARIATIONAL METHODS WAVE EQUATIONS WAVE FUNCTIONS

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Maitra, N T, Todorov, T N, Woodward, C, Burke, K. 2010-04-15. Density-potential mapping in time-dependent density-functional theory. https://doi.org/10.1103/physreva.81.042525

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