Stationary Schrödinger equation in the semi-classical limit: numerical coupling of oscillatory and evanescent regions

Author:

Arnold Anton,Negulescu Claudia

Funder

TU Wien (TUW)

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference22 articles.

1. Arnold, A.: Mathematical properties of quantum evolution equations, in quantum transport—Modelling, analysis and asymptotics. In: Allaire, G., Arnold, A., Degond, P., Hou, ThY (eds.) Lecture Notes in Mathematics 1946. Springer, Berlin (2008)

2. Arnold, A., Ben Abdallah, N., Negulescu, C.: WKB-based schemes for the oscillatory 1D Schrödinger equation in the semi-classical limit. SIAM J. Numer. Anal. 49(4), 1436–1460 (2011)

3. Arnold, A., Klein, C., Ujvari, B.: WKB-method for the 1D Schrödinger equation in the semi-classical limit: enhanced phase treatment, in preparation (2017)

4. Ben Abdallah, N., Degond, P., Markowich, P.A.: On a one-dimensional Schrödinger–Poisson scattering model. ZAMP 48, 35–55 (1997)

5. Ben Abdallah, N., Mouis, M., Negulescu, C.: An accelerated algorithm for 2D simulations of the quantum ballistic transport in nanoscale MOSFETs. J. Comput. Phys. 225(1), 74–99 (2007)

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