Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation

By Xavier Antoine, Christophe Besse. 2003

136 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/50752707d156ddfcdfbc663bfa4a9efb995c227a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Matthias Ehrhardt
2. Anton Arnold
3. Ronald E. Mickens

In Electrical and Electronic Engineering

1. Matthias Ehrhardt
2. Anton Arnold
3. Ronald E. Mickens

In Mechanics of Materials

1. Matthias Ehrhardt
2. Anton Arnold

Citations in the corpus

• Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability (2003, background): “3) (as well as semi–discrete approaches), we refer the reader to [3, 4, 9, 13, 31, 39, 41] and references therein.”
• A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear Schr�dinger Equations (2008, methodology): “This will give rise to an additional error term of order O(∆x2) [9, 112, 131] which leads globally to an error E(1,0).”