Existence, Uniqueness, and Semiclassical Limit for the Nonisentropic Steady‐State Quantum Hydrodynamic Model of Semiconductors
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.11104
Abstract: In this paper, a quantum hydrodynamic system for particle density, current density, energy density, and electrostatic potential, coupled with a Poisson equation, is studied in spatial one‐dimensional real line. First, the existence and uniqueness of… read more here.
Keywords: nonisentropic steady; semiclassical limit; existence uniqueness; quantum hydrodynamic ... See more keywords
The stationary solution of a one-dimensional bipolar quantum hydrodynamic model
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124537
Abstract: Abstract In this paper, we consider the existence and uniqueness of stationary solution to the bipolar quantum hydrodynamic model in one dimensional space with general non-constant doping profile. The existence of the stationary solution is… read more here.
Keywords: hydrodynamic model; quantum hydrodynamic; one dimensional; solution ... See more keywords
Dispersion relation of graphene surface plasmon by using a quantum hydrodynamic model
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DOI: 10.1016/j.spmi.2020.106516
Abstract: Abstract A quantum hydrodynamic model is used to study the properties of surface plasmon at an interface between a monolayer graphene sheet and a Voigt substrate. The substrate is assumed as a semiconductor that applying… read more here.
Keywords: hydrodynamic model; quantum hydrodynamic; graphene surface; surface plasmon ... See more keywords
Current-dependent exchange-correlation potential for non-local absorption in quantum hydrodynamic theory
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DOI: 10.1103/physrevb.95.245434
Abstract: The quantum hydrodynamic theory is a promising method for describing microscopic details of macroscopic systems. The hydrodynamic equation can be directly obtained from a single particle Kohn-Sham equation that includes the contribution of an external… read more here.
Keywords: hydrodynamic theory; exchange correlation; quantum hydrodynamic;