Arnold, J.M. (2017) Discrete Green's Functions and Functional Determinants. In: International Conference on Electromagnetics in Advanced Applications (ICEAA 2017), Verona, Italy, 11-15 Sep 2017, pp. 1072-1075. ISBN 9781509044511 (doi: 10.1109/ICEAA.2017.8065447)
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Abstract
A theorem is shown in which the elements of the inverse of a symmetric matrix F are constructed by Jacobi's formula using the derivative of the determinant detF with respect to its elements, and the determinant is defined by the partition function of a statistical field theory with interaction matrix F, generally Z = (detF)-1/2. When the matrix F is the discrete Laplacian, the theorem is the essential connection between the discrete Green's function and two-point correlations of the lattice gas.
Item Type: | Conference Proceedings |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Arnold, Professor John |
Authors: | Arnold, J.M. |
College/School: | College of Science and Engineering > School of Engineering |
ISBN: | 9781509044511 |
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