Papers › ITVOLT: An Iterative Solver for the Time-Dependent Schrödinger Equation
ITVOLT: An Iterative Solver for the Time-Dependent Schrödinger Equation
Ryan Schneider, Heman Gharibnejad, Barry I. Schneider
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We present a novel approach for solving the time-dependent Schr\"{o}dinger 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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