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Open Quantum Systems Decoherence

An Inverse Problem for Quantum Trees with Delta-Prime Vertex Conditions

DOAJ
Authors: Sergei Avdonin, Julian Edward

Year

2020

Paper ID

38690

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

91

Citations

4

Abstract

In this paper, we consider a non-standard dynamical inverse problem for the wave equation on a metric tree graph. We assume that the so-called delta-prime matching conditions are satisfied at the internal vertices of the graph. Another specific feature of our investigation is that we use only one boundary actuator and one boundary sensor, all other observations being internal. Using the Neumann-to-Dirichlet map (acting from one boundary vertex to one boundary and all internal vertices) we recover the topology and geometry of the graph together with the coefficients of the equations.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • In this paper, we consider a non-standard dynamical inverse problem for the wave equation on a metric tree graph.

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References & Citation Signals

[1] DOI https://doi.org/10.3390/vibration3040028 [2] Publisher https://www.mdpi.com/2571-631X/3/4/28

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Current Paper #38690

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