The Lagrange-mesh method

DOI10.1016/j.physrep.2014.11.006zbMath1357.65031OpenAlexW2003776257MaRDI QIDQ516866

Daniel Baye

Publication date: 15 March 2017

Published in: Physics Reports (Search for Journal in Brave)

Full work available at URL: https://dipot.ulb.ac.be/dspace/bitstream/2013/193423/1/ba15.pdf

zbMATH Keywords

orthogonal polynomialsGauss quadratureLagrange-mesh methodSchrödinger and Dirac equationsthree-body bound statestwo-body bound states and continuum

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) (n)-body potential quantum scattering theory (81U10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical quadrature and cubature formulas (65D32) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

Toward the theory of the Yukawa potential, POLALMM: a program to compute polarizabilities for nominal one-electron systems using the Lagrange-mesh method, SIDES: nucleon-nucleus elastic scattering code for nonlocal potential, The LISE package: solvers for static and time-dependent superfluid local density approximation equations in three dimensions, Manifestation of classical instability in the quantum density of states of a double well potential, The \(\mathrm H_2^+\) molecular ion: low-lying states, Study of Helium and Lithium Atomic Systems with the Discrete Variable Representations, Five-Nucleon Systems with an Hyperspherical Harmonic Method, Recent Developments in Solving the Few-Particle Scattering Problem by the Solution of The Faddeev-Yakubovsky Equations, Asymptotic behavior of two-electron expectation values in two-electron excited states, A comparative study of two-electron systems with screened Coulomb potentials, Radial anharmonic oscillator: Perturbation theory, new semiclassical expansion, approximating eigenfunctions. II. Quartic and sextic anharmonicity cases, Properties of a potential energy matrix in oscillator basis, Radial anharmonic oscillator: Perturbation theory, new semiclassical expansion, approximating eigenfunctions. I. Generalities, cubic anharmonicity case, Anharmonic oscillator: a solution

Uses Software

• ORTHPOL
• JADAMILU

Cites Work

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