Exponential decay of eigenfunctions in many-body type scattering with second order perturbations
classification
🧮 math.AP
math-phmath.MP
keywords
eigenfunctionsorderdecayexponentialmany-bodyperturbationssecondtype
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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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