191 citations · 1.2k across the 46 of their papers we have counts for
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Tan's distributions and Fermi-Huang pseudopotential in momentum space
Manuel Valiente
The long-standing question of finding the momentum representation for the s-wave zero-range interaction in three spatial dimensions is here solved. This is done by expressing a cer…
Lattice oscillator model, scattering theory and a many-body problem
Manuel Valiente
We propose a model for the quantum harmonic oscillator on a discrete lattice which can be written in supersymmetric form, in contrast with the more direct discretization of the har…
Universal relations for the two-dimensional spin-1/2 Fermi gas with contact interactions
Manuel Valiente, Nikolaj Zinner, Klaus Molmer
We present universal relations for a two-dimensional Fermi gas with pairwise contact interactions. The derivation of these relations is made possible by obtaining the explicit form…
Exact equivalence between one-dimensional Bose gases interacting via hard-sphere and zero-range potentials
Manuel Valiente
We prove the equivalence between the hard-sphere Bose gas and a system with momentum-dependent zero-range interactions in one spatial dimension, which we call extended hard-sphere…
Quasi-one-dimensional scattering in a discrete model
Manuel Valiente, Klaus Molmer
We study quasi-one-dimensional scattering of one and two particles with short-range interactions on a discrete lattice model in two dimensions. One of the directions is tightly con…