Norm estimates of complex symmetric operators applied to quantum systems

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dc.creatorProdan, Emil
dc.creatorGarcia, Stephan R.
dc.creatorPutinar, Mihai
dc.date2005-01-10
dc.date2005-10-24
dc.date.accessioned2026-07-07T09:43:08Z
dc.date.available2026-07-07T09:43:08Z
dc.descriptionThis paper communicates recent results in theory of complex symmetric operators and shows, through two non-trivial examples, their potential usefulness in the study of Schrödinger operators. In particular, we propose a formula for computing the norm of a compact complex symmetric operator. This observation is applied to two concrete problems related to quantum mechanical systems. First, we give sharp estimates on the exponential decay of the resolvent and the single-particle density matrix for Schrödinger operators with spectral gaps. Second, we provide new ways of evaluating the resolvent norm for Schrödinger operators appearing in the complex scaling theory of resonances.
dc.identifierhttps://arxiv.org/abs/math-ph/0501022
dc.identifierhttp://arxiv.org/abs/math-ph/0501022
dc.identifierJ. Math. Phys. A: Math and Theor. 39, 389 (2006)
dc.identifierdoi:10.1088/0305-4470/39/2/009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162442
dc.subjectMathematical Physics
dc.subject47B25;35J10;35P15
dc.titleNorm estimates of complex symmetric operators applied to quantum systems
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