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Open Quantum Systems Decoherence Quantum Simulation

Mathematical Contributions to the Dynamics of the Josephson Junctions: State of the Art and Open Problems

arXiv
Authors: Monica De Angelis

Year

2015

Paper ID

27319

Status

Preprint

Abstract Read

~2 min

Abstract Words

67

Citations

N/A

Abstract

Mathematical models related to some Josephson junctions are pointed out and attention is drawn to the solutions of certain initial boundary problems and to some of their estimates. In addition, results of rigorous analysis of the behaviour of these solutions when the time tends to infinity and when the small parameter tends to zero are cited. These analyses lead us to mention some of the open problems.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • Mathematical models related to some Josephson junctions are pointed out and attention is drawn to the solutions of certain initial boundary problems and to some of their estimates.

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