Abstract
The exact two-particle energy eigenstates in a generic asymmetric rectangular
box with periodic boundary conditions in all three directions are studied.
Their relation with the elastic scattering phases of the two particles in the
continuum are obtained for both \$D\_4\$ and \$D\_2\$ symmetry. These results can be
viewed as a generalization of the corresponding formulae in a cubic box
obtained by Lüscher before. In particular, the s-wave scattering length is
related to the energy shift in the finite box. Possible applications of these
formulae are also discussed.
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