Schrödinger operators on the half line: Resolvent expansions and the Fermi golden rule at thresholds

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dc.creatorJensen, Arne
dc.creatorNenciu, Gheorghe
dc.date2007-07-14
dc.date.accessioned2026-07-07T08:18:26Z
dc.date.available2026-07-07T08:18:26Z
dc.descriptionWe consider Schrödinger operators $H=- \d^2/\d r^2+V$ on $L^2([0,\infty))$ with the Dirichlet boundary condition. The potential $V$ may be local or non-local, with polynomial decay at infinity. The point zero in the spectrum of $H$ is classified, and asymptotic expansions of the resolvent around zero are obtained, with explicit expressions for the leading coefficients. These results are applied to the perturbation of an eigenvalue embedded at zero, and the corresponding modified form of the Fermi golden rule.
dc.description17 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0707.2146
dc.identifierhttp://arxiv.org/abs/0707.2146
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134431
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.titleSchrödinger operators on the half line: Resolvent expansions and the Fermi golden rule at thresholds
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