Klaus Kirsten and Alan J McKane 2004 J. Phys. A: Math. Gen. 37 4649 doi:10.1088/0305-4470/37/16/014
Klaus Kirsten1 and Alan J McKane2
Show affiliationsSimple 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 generalized zeta-functions. The general form of the final results is the same for the entire range of problems considered.
Issue 16 (23 April 2004)
Received 25 February 2004
Published 5 April 2004
Klaus Kirsten and Alan J McKane 2004 J. Phys. A: Math. Gen. 37 4649
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