The Laguerre pseudospectral method for the two-dimensional Schrödinger equation with symmetric nonseparable potentials
DOI10.15672/HUJMS.459593zbMath1488.65198OpenAlexW2954234331MaRDI QIDQ5160551
Publication date: 29 October 2021
Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.15672/hujms.459593
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)
Cites Work
- Unnamed Item
- Pseudospectral methods for solving an equation of hypergeometric type with a perturbation
- The Hermite pseudospectral method for the two-dimensional Schrödinger equation with nonseparable potentials
- The Laguerre pseudospectral method for the reflection symmetric Hamiltonians on the real line
- The Eigenvalues of Second-Order Spectral Differentiation Matrices
- Converging bounds for the eigenvalues of multiminima potentials in two-dimensional space
- Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions
- The Hermite Spectral Method for Gaussian-Type Functions
- Generalized Laguerre Interpolation and Pseudospectral Method for Unbounded Domains
- Calculation of Gauss Quadrature Rules
- Lagrange interpolation at Laguerre zeros in some weighted uniform spaces
This page was built for publication: The Laguerre pseudospectral method for the two-dimensional Schrödinger equation with symmetric nonseparable potentials
