A comparison of different propagation schemes for the time dependent Schrödinger equation
From MaRDI portal
Publication:808205
DOI10.1016/0021-9991(91)90137-AzbMath0731.65110WikidataQ62273034 ScholiaQ62273034MaRDI QIDQ808205
Publication date: 1991
Published in: Journal of Computational Physics (Search for Journal in Brave)
comparisonscatteringtime-dependent Schrödinger equationevolution problemnumerical gridlow-order Lanczos techniquetime propagation algorithms
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Applications to the sciences (65Z05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Related Items
The Chebyshev propagator for quantum systems, An efficient algorithm based on splitting for the time integration of the Schrödinger equation, On the unique mapping relationship between initial and final quantum states, \textit{pyCTQW}: a continuous-time quantum walk simulator on distributed memory computers, High-performance parallel solver for 3D time-dependent Schrödinger equation for large-scale nanosystems, Krylov subspace methods for the Dirac equation, High-dimensional quantum dynamics of molecules on surfaces: A massively parallel implementation, Solving seismic wave propagation in elastic media using the matrix exponential approach, EXACT NUMERICAL SOLUTION OF SCHRÖDINGER'S EQUATION FOR A PARTICLE IN AN INTERACTION POTENTIAL OF GENERAL SHAPE, Stability of the symmetric multistep methods for the time-dependent Schrödinger equation, New, highly accurate propagator for the linear and nonlinear Schrödinger equation, Fourth order real space solver for the time-dependent Schrödinger equation with singular Coulomb potential, Investigation on polynomial integrators for time-domain electromagnetics using a high-order discontinuous Galerkin method, Time-parallel simulation of the Schrödinger equation, WavePacket: a Matlab package for numerical quantum dynamics. I: Closed quantum systems and discrete variable representations, A comparison of numerical approaches to the solution of the time-dependent Schrödinger equation in one dimension, Very accurate time propagation of coupled Schrödinger equations for femto- and attosecond physics and chemistry, with C++ source code, Observing quantum trajectories: From Mott's problem to quantum Zeno effect and back, Semi-global approach for propagation of the time-dependent Schrödinger equation for time-dependent and nonlinear problems, Minimizing Communication in the Multidimensional FFT, Трехмерное моделирование зарядового обмена ионов с металлическими поверхностями, Relativistic properties and invariants of the du fort-frankel scheme for the one-dimensional Schrödinger equation, Linear scaling quantum transport methodologies, On the linear stability of splitting methods, GPU-accelerated algorithms for many-particle continuous-time quantum walks, Efficient finite difference solutions to the time-dependent Schrödinger equation, On the Floquet-Magnus expansion: applications in solid-state nuclear magnetic resonance and physics, Generalized propagation techniques for longitudinally varying refractive index distributions, Lanczos pseudospectral method for initial-value problems in electrodynamics and its applications to ionic crystal gratings, Unified framework for numerical methods to solve the time-dependent Maxwell equations, Analysis of a leap-frog pseudospectral scheme for the Schrödinger equation, Splitting methods for non-autonomous Hamiltonian equations, Wave packet propagation by the Faber polynomial approximation in electrodynamics of passive media, Splitting methods for the time-dependent Schrödinger equation, A Chebyshev differentiation method, A method for calculating the eigenvalues of large Hermitian matrices by second-order recursion formulae, Numerical implementation of the multiscale and averaging methods for quasi periodic systems, Homogeneous quantum electrodynamic turbulence, Time-dependent methods to study the dissociation dynamics of tri- and tetra-atomic clusters, Unified way for computing dynamics of Bose–Einstein condensates and degenerate Fermi gases
Cites Work
