Tripartite connection condition for quantum graph vertex

Details Tripartite connection condition for quantum graph vertex Tripartite connection condition for quantum graph vertex

2010-09-27

arxiv.org/abs/1009.5216v1

Physics Letters A 375 (2010) 113-118

Physics

Quantum Physics

LaTeX Elsevier format, 10 pages, 2 figures

Scientific paper

10.1016/j.physleta.2010.11.011

We discuss formulations of boundary conditions in a quantum graph vertex and demonstrate that the so-called $ST$-form can be further reduced up to a form more effective in certain applications: In particular, in identifying the number of independent parameters for given ranks of two connection matrices, or in calculating the scattering matrix when both matrices are singular. The new form of boundary conditions, called the $PQRS$-form, also gives a natural scheme to design generalized low and high pass quantum filters.

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