Study on quantum mechanical propagators and path integrals
| Project/Area Number |
20540161
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Kanazawa University |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2008 – 2010
|
| Project Status |
Completed (Fiscal Year 2010)
|
| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
|---|
| Keywords | 量子力学 / プロパゲイター / 経路積分 / グリーン関数 / 熱核 / トロター積公式 / 相対論的シュレーディンガー作用素 / ディラック作用素 / 調和振動子 / トロッター積公式 |
|---|
| Research Abstract |
This research concerns the quantum-mechanical propagator, namely, the integral kernel of the Schrodinger unitary group, Green function as well as their imaginary-time version, the integral kernel of the Schrodinger semi-group and heat kernel. Results are obatined among others on the following two topics. One is to investigate how good an approximation is given to the integral kernel of the Schrodinger semi-group or heat kernel by path integral based on the operator-norm selfadjoint Trotter product formulas obtained, and the other is to revisit with some new aspects the problem on the imaginary-time path integral representation for three relativistic Schrodinger operators.
|
Report
(4 results)
Research Products
(20 results)
