The Schrödinger with variable mass model: mathematical analysis and semi-classical limit
The Schrödinger with variable mass model: mathematical analysis and semi-classical limit
In this paper, we propose and analyze a one-dimensional stationary quantum-transport model: the Schrödinger with variable mass. In the first part, we prove the existence of a solution for this model, with a self-consistent potential determined by the Poisson problem, whereas, in the second part, we rigorously study its semi-classical …