A Feynman-Kac formula for geometric quantization

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作者
郭懋正
钱敏
王正栋
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[1] Department of Mathematics
[2] Peking University
[3] Beijing
[4] China
[5] Beijing
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摘要
<正> The geometric quantization on a homogeneous manifold is studied. For any quantizable function f, the stochastical expression for the unitary group exp(itQ (f)) generated by the quantized operator Q(f) is established. As an application, a Feynman-Kac formula for the compact semisimple Lie group is rederived.
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页数:8
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