Dynamical formulation of low-energy scattering in one dimension

  title={Dynamical formulation of low-energy scattering in one dimension},
  author={Farhang Loran and Ali Mostafazadeh},
The transfer matrix M of a short-range potential may be expressed in terms of the timeevolution operator for an effective two-level quantum system with a time-dependent nonHermitian Hamiltonian. This leads to a dynamical formulation of stationary scattering. We explore the utility of this formulation in the study of the low-energy behavior of the scattering data. In particular, for the exponentially decaying potentials, we devise a simple iterative scheme for computing terms of arbitrary order… 
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