Tripartite connection condition for a quantum graph vertex

0354728 - ÚJF 2011 RIV NL eng J - Journal Article
Cheon, T. - Exner, Pavel - Turek, Ondřej
Tripartite connection condition for a quantum graph vertex.
Physics Letters. A. Roč. 375, č. 2 (2010), s. 113-118. ISSN 0375-9601. E-ISSN 1873-2429
R&D Projects: GA MŠMT LC06002
Institutional research plan: CEZ:AV0Z10480505
Keywords : Schrodinger operator * Singular vertex * Boundary conditions
Subject RIV: BA - General Mathematics
Impact factor: 1.963, year: 2010

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 PQ RS-form, also gives a natural scheme to design generalized low and high pass quantum filters
Permanent Link: http://hdl.handle.net/11104/0193667