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Open Quantum Systems Decoherence Quantum Simulation

Non-self-adjoint graphs

arXiv

Authors: Amru Hussein, David Krejcirik, Petr Siegl

Year

2013

Paper ID

33147

Status

Preprint

Abstract Read

~2 min

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Abstract

On finite metric graphs we consider Laplace operators, subject to various classes of non-self-adjoint boundary conditions imposed at graph vertices. We investigate spectral properties, existence of a Riesz basis of projectors and similarity transforms to self-adjoint Laplacians. Among other things, we describe a simple way how to relate the similarity transforms between Laplacians on certain graphs with elementary similarity transforms between matrices defining the boundary conditions.

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On finite metric graphs we consider Laplace operators, subject to various classes of non-self-adjoint boundary conditions imposed at graph vertices.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1308.4264 [2] arXiv https://arxiv.org/abs/1308.4264 [3] Publisher https://arxiv.org/abs/1308.4264

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