Numerically complemented analytic method for solving the time-independent one-dimensional Schrödinger equation.

@article{Selg2001NumericallyCA,
  title={Numerically complemented analytic method for solving the time-independent one-dimensional Schr{\"o}dinger equation.},
  author={Matti Selg},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2001},
  volume={64 5 Pt 2},
  pages={056701}
}
  • Matti Selg
  • Published 2001 in
    Physical review. E, Statistical, nonlinear, and…
A general method of solving the one-dimensional Schrödinger equation is developed. The first step is to construct an exactly solvable reference potential of several smoothly joined Morse-type components, which should be a good approximation to a given potential. The exact solutions for that reference Hamiltonian are then combined with a nonperturbative approach [R. G. Gordon, J. Chem. Phys. 51, 14 (1969)], which enables us to numerically solve the energy eigenvalue problem for the original… CONTINUE READING

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