Existence and uniqueness of solutions to the time-dependent Kohn-Sham equations coupled with classical nuclear dynamics

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We prove existence and uniqueness of solutions to the initial-value problem associated with a class of time-dependent Kohn-Sham equations coupled with Newtonian nuclear dynamics. We consider a pure power exchange term within a generalisation of the local density approximation, identifying a range of exponents for the existence and uniqueness of $H^2$ solutions to the Kohn-Sham equations.
Originele taal-2Engels
TijdschriftMathematical Models & Methods in Applied Sciences
VolumeXX
Nummer van het tijdschriftXX
StatusIngediend - 20 nov 2020

Trefwoorden

  • math.AP

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