کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1895064 | 1044271 | 2009 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the geometrical representation of the path integral reduction Jacobian: The case of dependent variables in a description of reduced motion
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the geometrical representation of the path integral reduction Jacobian: The case of dependent variables in a description of reduced motion On the geometrical representation of the path integral reduction Jacobian: The case of dependent variables in a description of reduced motion](/preview/png/1895064.png)
چکیده انگلیسی
The geometrical representation of the path integral reduction Jacobian obtained in the problem of the path integral quantization of a scalar particle motion on a smooth compact Riemannian manifold with the given free isometric action of the compact semisimple Lie group has been found for the case when the local reduced motion is described by means of dependent coordinates. The result is based on the scalar curvature formula for the original manifold which is viewed as a total space of the principal fiber bundle.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 59, Issue 8, August 2009, Pages 1155–1167
Journal: Journal of Geometry and Physics - Volume 59, Issue 8, August 2009, Pages 1155–1167
نویسندگان
S.N. Storchak,