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 Schrödinger equation with a potential that depends nonlocally on the wave function.
- Received 1 December 2009
DOI:https://doi.org/10.1103/PhysRevA.81.042525
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