A note on the Schrödinger operator with a long-range potential
Sign Up to like & getrecommendations! Published in 2019 at "Letters in Mathematical Physics"
DOI: 10.1007/s11005-019-01200-z
Abstract: Our goal is to develop spectral and scattering theories for the one-dimensional Schrodinger operator with a long-range potential $q(x)$, $x\geq 0$. Traditionally, this problem is studied with a help of the Green-Liouville approximation. This requires… read more here.
Keywords: note schr; long range; range potential; operator long ... See more keywords
Zero range potential approximation in quantum scattering problems
Sign Up to like & getrecommendations! Published in 2019 at "American Journal of Physics"
DOI: 10.1119/1.5125110
Abstract: This article presents the Zero Range Potential (ZRP) approximation as an alternative to treat quantum scattering problems. The main focus is to provide an undergraduate-level derivation of the ZRP boundary condition that describes the interaction… read more here.
Keywords: zero range; approximation; scattering problems; range potential ... See more keywords