Multi-channel Computations in Low-Dimensional Few-Body Physics

  • Vladimir S. Melezhik
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7125)


In this lecture I give a brief review of low-dimensional few-body problems recently encountered in attempting a quantitative description of ultracold atoms and molecules confined in 2D and 1D optical lattices. Multi-channel nature of these processes has required the development of special computational methods and algorithms which I discuss here as well as the most interesting results obtained with the offered computational technique and future perspectives.


optical trap ultracold atoms Feshbach resonance confinement-induced resonance few-body problem Schrödinger equation scattering problem discrete variable representation boundary-value problem splitting-up method 


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© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Vladimir S. Melezhik
    • 1
  1. 1.Bogoliubov Laboratory of Theoretical PhysicsJoint Institute for Nuclear ResearchDubnaRussian Federation

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