Exponential decay of eigenfunctions in many-body type scattering with second-order perturbations |
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| Authors: | András Vasy |
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| Institution: | Department of Mathematics, Massachusetts Institute of Technology, 2-277, 77 Mass. Ave., Cambridge, MA 02139, USA |
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| Abstract: | We show the exponential decay of eigenfunctions of second-order geometric many-body type Hamiltonians at non-threshold energies. Moreover, in the case of first-order and small second-order perturbations we show that there are no eigenfunctions with positive energy. |
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| Keywords: | 35P25 81U99 |
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