George Rawitscher

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Quantum scattering in the presence of a potential valley followed by a barrier is examined for the case of a Morse potential, for which exact analytic solutions to the Schrödinger equation are known in terms of confluent hypergeometric functions. For our application the potential is characterized by three parameters: the height of the barrier, the distance(More)
An improvement of Weinberg's quasiparticle method for solving general one-dimensional integral equations is presented. The method uses simple auxiliary Sturmian functions for positive or negative energies, and corrects iteratively for the truncation errors of the Sturmian expansion of the solution. Numerical examples are given for the solution of the(More)
This hybrid method [finite-element discrete variable representation (FE-DVR)], introduced by Resigno and McCurdy [Phys. Rev. A 62, 032706 (2000)], uses Lagrange polynomials in each partition, rather than "hat" functions or Gaussian functions. These polynomials are discrete variable representation functions, and they are orthogonal under the Gauss-Lobatto(More)
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