Solving the Schrödinger equation using the finite difference time domain method

DOI10.1088/1751-8113/40/8/013zbMath1113.81045OpenAlexW2049738679MaRDI QIDQ3427223

I. Wayan Sudiarta, D. J. Wallace Geldart

Publication date: 16 March 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/40/8/013

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Software, source code, etc. for problems pertaining to quantum theory (81-04)

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Quantum dynamics for general time-dependent three coupled oscillators based on an exact decoupling ⋮ An alternating-direction hybrid implicit-explicit finite-difference time-domain method for the Schrödinger equation ⋮ Evolution of quantum correlations in the open quantum systems consisting of two coupled oscillators ⋮ Finite difference time domain simulation of arbitrary shapes quantum dots ⋮ Solving the Schrödinger equation for a charged particle in a magnetic field using the finite difference time domain method ⋮ Optimization of the Deterministic Solution of the Discrete Wigner Equation ⋮ Ground and excited states of spherically symmetric potentials through an imaginary-time evolution method: application to spiked harmonic oscillators ⋮ A parallel algorithm for solving the 3D Schrödinger equation ⋮ Pentadiagonal alternating-direction-implicit finite-difference time-domain method for two-dimensional Schrödinger equation ⋮ Deterministic Solution of the Discrete Wigner Equation

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