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Variational approach to N-body interactions in finite volume

We explore a variational approach to the finite-volume N-body problem. The general formalism for N nonrelativistic spinless particles interacting with periodic pairwise potentials yields N-body secular equations. The solutions depend on the infinite-volume N-body wave functions. Given that the infinite-volume N-body dynamics may be solved by the standard Faddeev approach, the variational N-body formalism can provide a convenient numerical framework for finding discrete energy spectra in periodic lattice structures.

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