2011 Fiscal Year Final Research Report
Semi-classical Analysis for Schrodinger Equations
| Project/Area Number |
21540195
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Ritsumeikan University (2010-2011)
University of Hyogo (2009) |
|---|
Principal Investigator |
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
HOSHIRO Toshihiko 兵庫県立大学, 大学院・物質理学研究科, 教授 (40211544)
UMEDA Tomio 兵庫県立大学, 大学院・物質理学研究科, 教授 (20160319)
IWASAKI Chisato 兵庫県立大学, 大学院・物質理学研究科, 教授 (30028261)
DOI Shinichi 大阪大学, 大学院・理学研究科, 教授 (00243006)
WATANABE Takuya 立命館大学, 理工学部, 助教 (80458009)
|
|---|
| Project Period (FY) |
2009 – 2011
|
| Keywords | 準古典解析 / シュレディンガー方程式 |
|---|
| Research Abstract |
We consider the scattering problem for Schrodinger equations. If the corresponding classical dynamics has trapped trajectories at an energy, some complex poles of the resolvent, called resonances, appear near this energy. We have succeeded in clarifying the semiclassical distribution etc. of resonances near the potential (1) minimum, (2) maximum and (3) the conical intersection in the case of a system.
|
