EFFECTIVE LAGRANGIAN OF PATH INTEGRAL QUANTIZATION FORMALISM IN CURVED SPACE

被引：0
|
作者：
阮图南
范洪义
尹鸿钧
机构：
[1] University of Science and Technology of China Hefei
[2] University of Science and Technology of China Hefei
来源：
Science China Mathematics | 1981年 / 05期
关键词：
EFFECTIVE LAGRANGIAN OF PATH INTEGRAL QUANTIZATION FORMALISM IN CURVED SPACE;
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摘要：
In this article the Weyl-McCoy correspondence of the classical Hamiltonian is extendedto curved space, and a general form of effective Lagrangian for path integral quantization incurved space is presented. To compare with the case in flat space, there need be in the Lee-Yang Lagrangian a metric correction term, which, being proportional to δ(0), is also a powerseries in δ(0). If a quantum mechanical Hamiltonian that is invariant under the point canonicaltransformation is demanded, a scalar curvature term will appear in the classical Lagrangianautomatically.
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页码：618 / 625
页数：8
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