Functional determinants for general Sturm-Liouville problems

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dc.creatorKirsten, Klaus
dc.creatorMcKane, Alan J.
dc.date2004-03-26
dc.date.accessioned2026-07-07T10:50:38Z
dc.date.available2026-07-07T10:50:38Z
dc.descriptionSimple and analytically tractable expressions for functional determinants are known to exist for many cases of interest. We extend the range of situations for which these hold to cover systems of self-adjoint operators of the Sturm-Liouville type with arbitrary linear boundary conditions. The results hold whether or not the operators have negative eigenvalues. The physically important case of functional determinants of operators with a zero mode, but where that mode has been extracted, is studied in detail for the same range of situations as when no zero mode exists. The method of proof uses the properties of generalised zeta-functions. The general form of the final results are the same for the entire range of problems considered.
dc.description28 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math-ph/0403050
dc.identifierhttp://arxiv.org/abs/math-ph/0403050
dc.identifierJ.Phys.A37:4649-4670,2004
dc.identifierdoi:10.1088/0305-4470/37/16/014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184599
dc.subjectMathematical Physics
dc.subjectOther Condensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectPACS: 02.30.-f;11.15.Kc
dc.titleFunctional determinants for general Sturm-Liouville problems
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