Journal
REVIEWS IN MATHEMATICAL PHYSICS
Volume 13, Issue 6, Pages 717-754Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0129055X01000843
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Results are obtained on resolvent expansions around zero energy for Schrodinger operators H = -Delta + V(x) on L-2(R-m), where V(x) is a sufficiently rapidly decaying real potential. The emphasis is on a unified approach, valid in all dimensions, which does not require one to distinguish between integralV(x)dx = 0 and integralV(x)dx not equal 0 in dimensions m = 1, 2. It is based on a factorization technique and repeated decomposition of the Lippmann-Schwinger operator. Complete results are given in dimensions m = 1 and m = 2.
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