A FORTRAN90 code to compute energies and wave-functions for the V0cosh^2(µ)[tanh((x-µd)/d)+tanh(µ)]^2 potential

The code presented calculates energies and normalized wave-functions associated with a simple system consisting of an electron trapped in a one-dimensional potential defined by the equation V0cosh^2(µ)[tanh(x-µd)/d+tanh(µ)]^2 where V0, µ and d are positive real parameters, whereas  x belongs to R. The time-independent Schrödinger equation is solved by means of the Galerkin method consisting of developing the wavefunction on a finite basis of sturmian functions associated with the Pöschl-Teller potential. The entire code is contained in a compressed file named nyengeri-david-code-real-2015-01.pdf.

The compressed file nyengeri-david-code-complex-2015-01.pdf concerns a complex version of our code which can be used to illustrate the Aguilar, Balslev, Combes and Simon’s theorem. moreattached-documents