Dimension Reduction of the Schrödinger Equation with Coulomb and Anisotropic Confining Potentials

DOI10.1137/13091436XzbMath1294.35130MaRDI QIDQ5408781

Yong Zhang, Norbert J. Mauser, Huai-Yu Jian, Weizhu Bao

Publication date: 11 April 2014

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

dimension reductionnonlinear Schrödinger equationSchrödinger-Poisson systemCoulomb interactionanisotropic confining potentiallow-dimensional quantum systems

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for discrete and fast Fourier transforms (65T50) Computational methods for problems pertaining to quantum theory (81-08) Numerical methods for trigonometric approximation and interpolation (65T40)

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