Numerical integration of the time-dependent Schrödinger equation for laser-driven helium
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Publication:1862398
DOI10.1016/S0010-4655(98)00083-6zbMath1023.81524OpenAlexW2005280620MaRDI QIDQ1862398
Jonathan S. Parker, K. T. Taylor, Edward S. Smyth
Publication date: 19 March 2003
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0010-4655(98)00083-6
Quantum optics (81V80) Software, source code, etc. for problems pertaining to quantum theory (81-04) Applications to the sciences (65Z05)
Related Items (8)
Quantum dynamics of relativistic electrons ⋮ A GPGPU based program to solve the TDSE in intense laser fields through the finite difference approach ⋮ Fourth order real space solver for the time-dependent Schrödinger equation with singular Coulomb potential ⋮ Fourth-order factorization of the evolution operator for time-dependent potentials ⋮ Qprop: A Schrödinger-solver for intense laser-atom interaction ⋮ ALTDSE: an Arnoldi-Lanczos program to solve the time-dependent Schrödinger equation ⋮ Extensions to the HELIUM code to handle intense X-ray light ⋮ An OpenCL implementation for the solution of the time-dependent Schrödinger equation on GPUs and CPUs
Cites Work
- An iterative solution method for solving \(f(A)x=b\), using Krylov subspace information obtained for the symmetric positive definite matrix A
- An asymptotic wavefunction splitting procedure for propagating spatially extended wavefunctions: Application to intense field photodissociation of \(H^ +_ 2\)
- Efficient Solution of Parabolic Equations by Krylov Approximation Methods
- Reorthogonalization and Stable Algorithms for Updating the Gram-Schmidt QR Factorization
- An Arnoldi code for computing selected eigenvalues of sparse, real, unsymmetric matrices
- The principle of minimized iterations in the solution of the matrix eigenvalue problem
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