Semigroup expansions for non-selfadjoint Schr\"odinger operators
Ben Bellis, Michael Hitrik
TL;DR
This paper develops a large time expansion for the propagator of a semiclassical non-selfadjoint magnetic Schr"odinger operator, linking it to the operator's low lying eigenvalues.
Contribution
It introduces a novel large time expansion method for non-selfadjoint Schr"odinger operators using eigenvalue analysis.
Findings
Established a large time expansion for the propagator.
Connected the expansion to low lying eigenvalues.
Enhanced understanding of non-selfadjoint magnetic Schr"odinger operators.
Abstract
A large time expansion for the propagator associated to a semiclassical non-selfadjoint magnetic Schr\"odinger operator is established, in terms of the low lying eigenvalues of the operator.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Numerical methods in inverse problems · Matrix Theory and Algorithms