Quantum scattering by Wronskians

Details Quantum scattering by Wronskians Quantum scattering by Wronskians

2011-01-05

arxiv.org/abs/1101.0957v1

Physics

Quantum Physics

Scientific paper

We show that Wronskians between properly chosen linearly independent solutions of the Schr\"odinger equation greatly facilitate the study of quantum scattering in one dimension. They enable one to obtain the necessary relationships between the coefficients that determine the asymptotic behavior of the wavefunction. As illustrative examples we calculate the transmission probability for the penetration of a Gaussian barrier and the scattering resonances for a Gaussian well.

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