Functional Determinants for Radially Separable Partial Differential Operators
Functional determinants of differential operators play a prominent role in many fields of theoretical and mathematical physics, ranging from condensed matter physics, to atomic, molecular and particle physics. They are, however, difficult to compute reliably in non-trivial cases. In one dimensional...
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| Format: | Article |
| Language: | English |
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CTU Central Library
2007-01-01
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| Series: | Acta Polytechnica |
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| Online Access: | https://ojs.cvut.cz/ojs/index.php/ap/article/view/916 |
| Summary: | Functional determinants of differential operators play a prominent role in many fields of theoretical and mathematical physics, ranging from condensed matter physics, to atomic, molecular and particle physics. They are, however, difficult to compute reliably in non-trivial cases. In one dimensional problems (i.e. functional determinants of ordinary differential operators), a classic result of Gel’fand and Yaglom greatly simplifies the computation of functional determinants. Here I report some recent progress in extending this approach to higher dimensions (i.e., functional determinants of partial differential operators), with applications in quantum field theory. |
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| ISSN: | 1210-2709 1805-2363 |