Shooting function for 1D Schrödinger operators

  title={Shooting function for 1D Schr{\"o}dinger operators},
  author={R. S. MacKay},
  journal={Journal of Physics A: Mathematical and Theoretical},
  • R. MacKay
  • Published 9 May 2022
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
For Schrödinger operators with suitable 1D potentials, focussing particularly on those that go to infinity at infinity, a characteristic function is constructed, via shooting functions. It is proved to be entire and its zeroes to be the eigenvalues. 



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