A Kohn–Sham system at zero temperature
A Kohn–Sham system at zero temperature
An one-dimensional Kohn-Sham system for spin particles is considered which effectively describes semiconductor nanostructures and which is investigated at zero temperature.We prove the existence of solutions and derive a priori estimates.For this purpose we find estimates for eigenvalues of the Schrödinger operator with effective Kohn-Sham potential and obtain W 1,2 …