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Title: Rigorous treatment of scattering by quantum zero-range interactions
Authors: Dubey, Ritesh Kumar
Menon, V J
Tripathi, D N
Keywords: Contact potential;Scattering;Distributions;Schrödinger;Reflection;Transmission;Quantum zero
Issue Date: May-2008
Publisher: CSIR
Abstract: A new rigorous treatment of solving the Schrödinger scattering equation for a general contact potential U(x) has been developed. It is proved that if U(x) is regarded as a distribution characterized by a tiny length scale b then the wave function  and its derivative  become continuous across the apparent singular point x = 0. Hence, the reflection and transmission coefficients can be constructed for many cases namely usual δ(x), controversial δ'(x) and entirely new quasi δ'(x) interactions.
Page(s): 295-305
ISSN: 0019-5596
Appears in Collections:IJPAP Vol.46(05) [May 2008]

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