On stationary Schrödinger-Poisson equations modelling an electron gas with reduced dimension

DOI<1283::AID-MMA914>3.0.CO;2-P 10.1002/(SICI)1099-1476(199710)20:15<1283::AID-MMA914>3.0.CO;2-PzbMath0891.35027OpenAlexW2049220356MaRDI QIDQ4361507

Joachim Rehberg, Hans-Christoph Kaiser

Publication date: 8 January 1998

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(199710)20:15<1283::aid-mma914>3.0.co;2-p

zbMATH Keywords

steepest descentunique stationary solution

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

ON STABILITY OF SQUARE ROOT DOMAINS FOR NON‐SELF‐ADJOINT OPERATORS UNDER ADDITIVE PERTURBATIONS ⋮ A QUANTUM TRANSMITTING SCHRÖDINGER–POISSON SYSTEM ⋮ Convexity of trace functionals and Schrödinger operators ⋮ Wavelets for density matrix computation in electronic structure calculation

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• A Stationary Schrödinger-Poisson System Arising from the Modelling of Electronic Devices
• Fifty years of eigenvalue perturbation theory
• $L^2$-Integrability of Second Order Derivatives for Poisson's Equation in Nonsmooth Domains.

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