In the framework of the Floquet formulation of time-dependent density functional theory we present several
exact relations involving different parts of the quasienergy functional. These relations hold when the exact
densities and exchange-correlation energy functional are employed. They can be used as useful constraints and
tests when searching for the approximate forms of the time-dependent exchange-correlation functionals. The
general results are illustrated on an exactly soluble model, Hooke’s atom in a linearly polarized monochromatic
Telnov, Dmitry A. and Shih-I Chu. "Exact relations of the quasienergy functional and the exchange-correlation potential from the Floquet formulation of time-dependent density functional theory" Phys. Rev. A 63, 012514 – Published 13 December 2000. http://dx.doi.org/10.1103/PhysRevA.63.012514
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