Inverse scattering problem for quantum graph vertices

被引：4

作者：

Cheon, Taksu ^{[1
]}

Exner, Pavel ^{[2
,3
]}

Turek, Ondrej ^{[1
]}

机构：

[1] Kochi Univ Technol, Phys Lab, Kochi 7828502, Japan

[2] Czech Tech Univ, Doppler Inst Math Phys & Appl Math, CZ-11519 Prague, Czech Republic

[3] Nucl Phys Inst ASCR, CZ-25068 Rez, Czech Republic

来源：

PHYSICAL REVIEW A | 2011年 / 83卷 / 06期

关键词：

D O I：

10.1103/PhysRevA.83.062715

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We demonstrate how the inverse scattering problem of a quantum star graph can be solved by means of diagonalization of the Hermitian unitary matrix when the vertex coupling is of the scale-invariant (or Fulop-Tsutsui) form. This enables the construction of quantum graphs with desired properties in a tailor-made fashion. The procedure is illustrated on the example of quantum vertices with equal transmission probabilities.

引用

页数：4

共 13 条

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