Solution of the Schrödinger equation by a spectral method

  title={Solution of the Schr{\"o}dinger equation by a spectral method},
  author={M. Feit and J. A. Fleck and A. Steiger},
  journal={Journal of Computational Physics},
Abstract A new computational method for determining the eigenvalues and eigenfunctions of the Schrodinger equation is described. Conventional methods for solving this problem rely on diagonalization of a Hamiltonian matrix or iterative numerical solutions of a time independent wave equation. The new method, in contrast, is based on the spectral properties of solutions to the time-dependent Schrodinger equation. The method requires the computation of a correlation function 〈ψ( r , 0)| ψ( r , t… Expand

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