| Project/Area Number |
08640079
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | TOHOKU UNIVERSITY |
|---|
Principal Investigator |
SUNADA Toshikazu TOHOKU UNIVERSITY,MATHEMATICS,PROFESSOR, 大学院・理学研究科, 教授 (20022741)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
KUROKI Gen TOHOKU UNIVERSITY,MATHEMATICS,ASSISTANT, 大学院・理学研究科, 助手 (10234593)
HASEGAWA Koji TOHOKU UNIVERSITY,MATHEMATICS,LECTURER., 大学院・理学研究科, 講師 (30208483)
NAYATANI Shin TOHOKU UNIVERSITY,MATHEMATICS,ASSOC.PROF., 大学院・理学研究科, 助教授 (70222180)
SAITO Kazuyuki TOHOKU UNIVERSITY,MATHEMATICS,ASSOC.PROF., 大学院・理学研究科, 助教授 (60004397)
|
|---|
| Project Period (FY) |
1996 – 1997
|
| Project Status |
Completed (Fiscal Year 1997)
|
| Budget Amount *help |
¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 1997: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1996: ¥1,300,000 (Direct Cost: ¥1,300,000)
|
|---|
| Keywords | ERGODICITY / SPECTRUM / EIGENVALUES / QUANTUM ERGODICITY / ラプラシアン |
|---|
| Research Abstract |
We introduced the notion of ergodicity at infinite energy level in both quantum and classical mechanics. The notion allows us to give a necessary and sufficient condition in terms of microlocal properties of eigenfunctions of a quantum hamiltonian such that the corresponding classical dynamical system is ergodic. Especially, a new insight into quantum ergodicity due to Snirelman, Zelditch and Colin de Verdiere was given.
|
