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arXiv · 2210.15677

ITVOLT: An Iterative Solver for the Time-Dependent Schrödinger Equation

Ryan Schneider·Heman Gharibnejad·Barry I. Schneider
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Abstract

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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Ryan Schneider, Heman Gharibnejad, Barry I. Schneider. 2023-06-06. ITVOLT: An Iterative Solver for the Time-Dependent Schrödinger Equation. https://doi.org/10.1016/j.cpc.2023.108780

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