Boundary condition at the junction

TL;DR

This paper discusses how to set boundary conditions at junctions in quantum graph models, which serve as solvable representations of two-dimensional networks, by fitting parameters based on prior research.

Contribution

It introduces a method for fitting quantum graph parameters at junctions, enhancing the modeling accuracy of network junctions in quantum systems.

Findings

Developed a parameter fitting approach for junction boundary conditions.

Improved the modeling of quantum network junctions.

Built on previous results to refine quantum graph models.

Abstract

The quantum graph plays the role of a solvable model for a two-dimensional network. Here fitting parameters of the quantum graph for modelling the junction is discussed, using previous results of the second author.