A mathematical model for the transient evolution of a resonant tunneling diode

DOI10.1016/S1631-073X(02)02263-XzbMath0997.35060MaRDI QIDQ1598452

Olivier Pinaud, Naoufel Ben Abdallah

Publication date: 17 November 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

existenceFermi-Dirac statisticsuniquenssself-consistent evolutionquantum deviceinjecting electrons

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Lasers, masers, optical bistability, nonlinear optics (78A60)

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Cites Work

• Unnamed Item
• A hybrid kinetic-quantum model for stationary electron transport
• On a multidimensional Schrödinger–Poisson scattering model for semiconductors
• MATHEMATICAL CONCEPTS OF OPEN QUANTUM BOUNDARY CONDITIONS
• The dynamics of some quantum open systems with short-range nonlinearities
• Inflow boundary conditions for the time dependent one-dimensional Schrödinger equation