Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10728061 | Physics Letters A | 2010 | 6 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Taksu Cheon, Pavel Exner, OndÅej Turek,