EJIIM for the stationary Schrödinger equations with delta potential wells

DOI10.1016/j.amc.2014.12.095zbMath1410.65275OpenAlexW2065334762MaRDI QIDQ1643351

Li Wang, Jiejing Bai

Publication date: 19 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.12.095

zbMATH Keywords

stationary Schrödinger equationsEJIIMPeskin's IB methodsingle delta potential wellsymmetric double delta potential well

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (4)

Energy-preserving methods for non-smooth nonlinear Schrödinger equations ⋮ Accurate and efficient numerical methods for the nonlinear Schrödinger equation with Dirac delta potential ⋮ Nonlinear Schrödinger equation with a Dirac delta potential: finite difference method ⋮ Multi-symplectic Runge-Kutta-Nyström methods for nonsmooth nonlinear Schrödinger equations

Cites Work

• Unnamed Item
• Solution of the 1D Schrödinger equation in semiconductor heterostructures using the immersed interface method
• Augmented coupling interface method for solving eigenvalue problems with sign-changed coefficients
• Bound states and scattering coefficients of the \(-a\delta(x)+b{\delta}'(x)\) potential
• Explicit jump immersed interface method for virtual material design of the effective elastic moduli of composite materials
• A new numerical method for nonlocal electrostatics in biomolecular simulations
• Numerical analysis of blood flow in the heart
• Bound Electron Pairs in a Degenerate Fermi Gas
• The immersed boundary method
• A delta well with a mass jump
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
• Convergence analysis of the immersed interface method
• The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions
• Systematic Derivation of Jump Conditions for the Immersed Interface Method in Three-Dimensional Flow Simulation
• A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane
• The immersed interface method for the Navier-Stokes equations with singular forces

This page was built for publication: EJIIM for the stationary Schrödinger equations with delta potential wells