ITVOLT: An iterative solver for the time-dependent Schrödinger equation
Published: 12 June 2023| Version 1 | DOI: 10.17632/jzd5xpv6t7.1
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, , Description
We present a novel approach for solving the time-dependent Schrödinger equation (TDSE). The method we propose converts the TDSE to an equivalent Volterra integral equation; introducing a global Lagrange interpolation of the integrand transforms the equation to a linear system, which is then solved iteratively. In this paper, we derive the method, explore its performance on several examples, and discuss the corresponding numerical details.
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Computational Physics, Iterative Method, Lagrange Interpolation, Schrödinger Equation