Abstract
Using the Weinberg-van Winter equations we prove finiteness of the discrete spectrum of the N-body quantum mechanical Hamiltonian with pair potentials satisfying |V(x)| ⩽ C(1 + |x|2)−ρ, ρ > 1 in case the threshold of the continuous spectrum is negative and determined exclusively by eigenvalues of two-cluster Hamiltonians.
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Iório, R.J. On the discrete spectrum of the N-body quantum mechanical Hamiltonian: II. Lett Math Phys 5, 341–349 (1981). https://doi.org/10.1007/BF00401483
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DOI: https://doi.org/10.1007/BF00401483