Quantum confined scattering beyond the s-wave approximation
Kim, Ji Il [UNIFESP]
Melezhik, Vladimir S.
Is part ofProgress Of Theoretical Physics Supplement
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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.
CitationProgress Of Theoretical Physics Supplement. Kyoto: Progress Theoretical Physics Publication Office, n. 166, p. 159-168, 2007.
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