Path Integrals on Group Manifolds 2025 pdf epub mobi 電子書 下載


Path Integrals on Group Manifolds

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The quantization of physical systems moving on group and symmetric spaces has been an area of active research over the past three decades. This book shows that it is possible to introduce a representation independent propagator for a real, separable, connected and simply connected Lie group with irreducible, square-integrable representations. For a given set of kinematical variables this propagator is a single generalized function independent of any particular choice of fiducial vector and the irreducible representations of the Lie group generated by these kinematical variables,which nonetheless correctly propagates each element of the continuous representation based on the coherent states associated with these kinematical variables. Furthermore, the book shows that it is possible to construct regularized lattice phase path integrals for a real, separable, connected and simply connected Lie group with irreducible, square-integrable representations, and although the configuration space is in general a multidimensional curved manifold, it is shown that the resulting lattice phase space path integral has the form of a lattice phase space path integral on a multidimensional flat manifold. Hence, a novel and extremely natural phase space path integral quantization is obtained for general physical systems whose kinematical variables are the generators of a connected and simply connected Lie group. This novel phase space path integral quantization is (a) exact, (b) more general than, and (c) free from the limitations of the previously considered path integral quantization of free physical systems moving on group manifolds.

Path Integrals on Group Manifolds 2025 pdf epub mobi 電子書 下載

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發表於2025-03-15

Path Integrals on Group Manifolds 2025 pdf epub mobi 電子書 下載

Path Integrals on Group Manifolds 2025 pdf epub mobi 電子書 下載

Path Integrals on Group Manifolds 2025 pdf epub mobi 電子書 下載



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出版者:
作者:Tome, Wolfgang
出品人:
頁數:232
譯者:
出版時間:1998-5
價格:$ 58.76
裝幀:
isbn號碼:9789810233556
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Path Integrals on Group Manifolds 2025 pdf epub mobi 電子書 下載
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