Mathematical physics of singular vertices in quantum graphs

2014 Fiscal Year Final Research Report

• Project/Area Number: 24540412
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Kochi University of Technology
• Principal Investigator: ZEN Takuju 高知工科大学, 環境理工学群, 教授 (60227353)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: 数理物理 / 量子グラフ / 量子フィルター / 量子異常 / 量子素子

Outline of Final Research Achievements

We have studied the singular vertex of quantum graphs, which is the basic building block in quantum graph theory. We have performed its mathematical analysis and classification and its physical characterization. In the process, we have established several theorems concerning the modularly permutation symmetric unitary Hermitian matrices. As an application, we have found a model of controllable quantum filter based on quantum graph theory.

Free Research Field

数理物理・物性基礎