Approximating resonances with the Complex Absorbing Potential Method

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dc.creatorStefanov, Plamen
dc.date2004-09-09
dc.date.accessioned2026-07-25T22:28:54Z
dc.descriptionWe study the Complex Absorbing Potential (CAP) Method in computing quantum resonances of width $c(h) = O(h^N)$, $N\gg1$. We show that up to $h^{-M}\sqrt{c(h)} +\Oh$ error, $M\gg1$, resonances are perturbed eigenvalues of the CAP Hamiltonian $P(h)-iW$, and vice versa, where $W$ is the CAP with non-negative real part supported outside the trapping region. In some cases, the error terms are exponentially small.
dc.identifierhttps://arxiv.org/abs/math-ph/0409020
dc.identifierhttp://arxiv.org/abs/math-ph/0409020
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/89476
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject35P25, 35P20, 47A40, 81Q20
dc.titleApproximating resonances with the Complex Absorbing Potential Method
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