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math-ph2025★ 1 cited
Ballistic electron transport described by a generalized Schrödinger equation
Giulia Elena Aliffi, Giovanni Nastasi, Vittorio Romano
We propose a Schrödinger equation of arbitrary order for modeling charge transport in semiconductors operating in the ballistic regime. This formulation incorporates non-parabolic…
math-ph2025★ 4 cited
Ballistic electron transport described by a fourth-order Schrödinger equation
Giulia Elena Aliffi, Giovanni Nastasi, Vittorio Romano
A fourth-order Schrödinger equation for the description of charge transport in semiconductors in the ballistic regime is proposed with the inclusion of non-parabolic effects in the…