Nonlinear problems in quantum semiconductor modeling

Nonlinear Analysis, Theory, Methods and Applications

Volumn 47, Issue 9, 2001, Pages 5873-5884

  Jüngel, Ansgar ^b  

^a UNIVERSITY OF KONSTANZ   (Germany)

^b NONE

Author keywords

Existence of solutions; Fourth order equations; Nonlinear elliptic and parabolic equations; Numerical scheme; Quantum hydrodynamics; Semiconductors

Indexed keywords

COMPUTER SIMULATION; DIFFUSION; HYDRODYNAMICS; NONLINEAR EQUATIONS; NONLINEAR SYSTEMS; RESONANT TUNNELING; SEMICONDUCTOR DEVICE MODELS;

PARABOLIC EQUATIONS; QUANTUM SEMICONDUCTOR MODELING;

QUANTUM THEORY;

EID: 0035415408     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00704-0     Document Type: Conference Paper

References (40)

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5. On the stationary quantum drift-diffusion model
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7. Quantum hydrodynamic simulation of hysteresis in the resonant tunneling diode
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11. The quantum hydrodynamic model for semiconductors in thermal equilibrium
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14. A note on current-voltage characteristics from the quantum hydrodynamic equations for semiconductors
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16. Quasi-hydrodynamic Semiconductor Equations
17. Self-consistent study of the resonant tunneling diode
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19. Weak limits of the quantum hydrodynamic model
20. The linearized transient quantum drift diffusion model - Stability of stationary states
21. The stationary current-voltage characteristics of the quantum drift-diffusion model
22. Computational methods for semiclassical and quantum transport in semiconductor devices
23. +-H scattering
24. Quantum transport modeling of ultrasmall semiconductor devices
25. The thermal equilibrium solution of a generic bipolar hydrodynamic model
26. On the initial-value problem of the Madelung hydrodynamic equations
27. Particle method for the numerical solution of the time-dependent Schrödinger equation
28. Rate theory for solids. V. Quantum Brownian-motion model
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