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Partition functions and Jacobi fields in the Morse theory

Title
Partition functions and Jacobi fields in the Morse theory
Authors
Hong S.-T.
Ewha Authors
홍순태
SCOPUS Author ID
홍순태scopus
Issue Date
2003
Journal Title
Journal of Geometry and Physics
ISSN
0393-0440JCR Link
Citation
Journal of Geometry and Physics vol. 48, no. 2-3, pp. 135 - 147
Indexed
SCIE; SCOPUS WOS scopus
Document Type
Article
Abstract
We study the semiclassical partition function in the frame work of the Morse theory, to clarify the phase factor of the partition function and to relate it to the eta invariant of Atiyah. Converting physical system with potential into a curved manifold, we exploit the Jacobi fields and their corresponding eigenvalues of the Sturm-Liouville operator to be associated with geodesics on the curved manifold and with the Hamilton-Jacobi theory. © 2003 Elsevier Science B.V. All rights reserved.
DOI
10.1016/S0393-0440(03)00028-7
Appears in Collections:
사범대학 > 과학교육과 > Journal papers
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