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Quasi-Hermitian pseudopotential for higher partial wave scattering
2006
Physical Review A. Atomic, Molecular, and Optical Physics
We formulate a new quasi-Hermitian delta-shell pseudopotential for higher partial wave scattering, and show that any such potential must have an energy-dependent regularization. The quasi-Hermiticity of the Hamiltonian leads to a complete set of biorthogonal wave functions that can be used as a basis to expand and diagonalize other two-body Hamiltonians. We demonstrate this procedure for the case of ultracold atoms in a polarization-gradient optical lattice, interacting pairwise when two atoms
doi:10.1103/physreva.74.042724
fatcat:kx3g4dskkjb3diopwsqdk6wofy