Quantum confined scattering beyond the s-wave approximation

• Autor(a) principal: Kim, Ji Il [UNIFESP]
• Data de Publicação: 2007
• Outros Autores: Melezhik, Vladimir S., Schmelcher, Peter
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNIFESP
• Texto Completo: http://dx.doi.org/10.1143/PTPS.166.159; http://repositorio.unifesp.br/handle/11600/45142

A dual confinement induced resonance effect first observed numerically in a paper P. I. Kim, V. S. Melezhik and P. Schmelcher, Phys. Rev. Lett. 97 (2006), 193203] predicts the possibility of suppressing the effective two-body interaction in a quasi-one dimensional (ID) cylindrical geometry. Here this low dimensionality effect is analytically modeled by applying a previous formalism to treat low energy quantum scattering processes under tight confinement [J. I. Kim, J. Schmiedmayer and P. Schmelcher, Phys. Rev. A 72 (2005), 042711]. This analytic formalism is improved in order to account non-perturbatively for the three dimensional (31D) scattering phase shift l = 1 for a given spherically symmetric interaction potential between distinguishable colliding particles. The role of the confinement on the scattering properties can then be systematically calculated up to the p-wave.