Computation of the eigenvalues of the Schrödinger equation by symplectic and trigonometrically fitted symplectic partitioned Runge-Kutta methods

DOI10.1016/j.physleta.2007.08.012zbMath1217.81061OpenAlexW2161181183MaRDI QIDQ552609

Jianyong Qiao, Sumit K. Garg

Publication date: 26 July 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.08.012

zbMATH Keywords

eigenvalue problemSchrödinger equationsymplectic integrationtrigonometrically fitted

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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Cites Work

• Fourth-order symplectic integration
• Runge-Kutta schemes for Hamiltonian systems
• Canonical Runge-Kutta methods
• The accuracy of symplectic integrators
• On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods
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