| A remark on Kac’s scattering length formula |
| |
| 作者姓名： | FITZSIMMONS Patrick J. HE Ping YING JianGang |
| |
| 作者单位： | Department of Mathematics,University of California at San Diego;Department of Applied Mathematics,Shanghai University of Finance and Economics;School of Mathematics,Fudan University |
| |
| 基金项目： | supported by National Natural Science Foundation of China(Grant Nos.11271240 and 11071044) |
| |
| 摘 要： | The scattering length formula was formulated and proved in special cases by Kac in 1974 and 1975.It was discussed by a series of authors,including Taylor 1976,Tamura 1992 and Takahashi 1990.The formula was proved by Takeda 2010 in symmetric case and by He 2011 assuming weak duality.In this article,we shall use the powerful tool of Kutznetsov measures to prove this formula in the general framework of right Markov processes without further assumptions.
|
| 关 键 词： | scattering length Kuznetsov measure capacity |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
