Determination of bound state energies for a one-dimensional potential field

Details Determination of bound state energies for a one-dimensional potential field Determination of bound state energies for a one-dimensional potential field

2003-01-27

arxiv.org/abs/quant-ph/0301149v1

Physics

Quantum Physics

a file with three figures

Scientific paper

10.1016/S1386-9477(03)00352-7

A method for determination of bound state energies for an asymmetric quantum well with an arbitrary shape of the bottom is suggested. It is shown that how the equation determining the energy levels can be easily derived if one knows the electron transmission and reflection amplitudes corresponding to the part of potential inside the well. The results are applied to three difference test problems.

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