A falling rule for functional determinants

A falling rule for functional determinants

We prove a reciprocity relation for functional determinants, generalizing a similar result for partial derivatives which includes the Maxwell relations in thermodynamics. Our proof on the basis of exterior forms dispenses with the use of thermodynamic potentials.

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Veröffentlicht in:Zeitschrift für angewandte Mathematik und Physik 2006-05, Vol.57 (3), p.393-398
1. Verfasser: Hamburger, Christoph
Format: Artikel
Sprache:eng
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Zusammenfassung:We prove a reciprocity relation for functional determinants, generalizing a similar result for partial derivatives which includes the Maxwell relations in thermodynamics. Our proof on the basis of exterior forms dispenses with the use of thermodynamic potentials.
ISSN:0044-2275
DOI:10.1007/s00033-005-0032-7