Riccati nonhermiticity with application to the Morse potential

Details Riccati nonhermiticity with application to the Morse potential Riccati nonhermiticity with application to the Morse potential

2005-02-12

arxiv.org/abs/quant-ph/0502074v2

Rev. Mex. Fis. 51 (June 2005) 316-319

Physics

Quantum Physics

8 pages, 4 figures

Scientific paper

A supersymmetric one-dimensional matrix procedure similar to relationships of the same type between Dirac and Schrodinger equations in particle physics is described at the general level. By this means we are able to introduce a nonhermitic Hamiltonian having the imaginary part proportional to the solution of a Riccati equation of the Witten type. The procedure is applied to the exactly solvable Morse potential introducing in this way the corresponding nonhermitic Morse problem. A possible application is to molecular diffraction in evanescent waves over nanostructured surfaces

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