A Feynman-Kac formula for geometric quantization | |
Guo, MZ ; Qian, M ; Wang, ZD | |
1996 | |
关键词 | Lie group line bundle principal bundle connection Brownian motion QUANTUM HEISENBERG-FERROMAGNET |
英文摘要 | The geometric quantization on a homogeneous manifold is studied. For any quantizable function f, the stochastical expression for the unitary group exp(itQ(lambda), (f)) generated by the quantized operator Q(lambda)(f) is established. As an application, a Feynman-Kac formula for the compact semisimple lie group is rederived.; Mathematics, Applied; Mathematics; SCI(E); 1; 3; 238-245; 39 |
语种 | 英语 |
出处 | SCI |
出版者 | science in china series a mathematics physics astronomy |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/315182] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Guo, MZ,Qian, M,Wang, ZD. A Feynman-Kac formula for geometric quantization. 1996-01-01. |
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