97 citations · 777 across the 84 of their papers we have counts for
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Spectral invariants for the Dirac equation on the d-Ball with various boundary conditions
J. S. Dowker, J. S. Apps, K. Kirsten +1
The mode properties for spectral and mixed boundary conditions for massless spin-half fields are derived for the --ball. The corresponding functional determinants and heat-kerne…
Functional determinants on Moebius corners
J. S. Dowker
A general method of finding functional determinants is presented that depends on the asymptotic behaviour of the resolvent. Its application to the case of a bounded trihedral corne…
Spin on the 4-ball
J. S. Dowker
Using known mode properties, the functional determinant for massless spin-half fields on the Euclidean 4-ball is calculated and shown to be different for spectral (nonlocal) and mi…
Robin conditions on the Euclidean ball
J. S. Dowker
Techniques are presented for calculating directly the scalar functional determinant on the Euclidean d-ball. General formulae are given for Dirichlet and Robin boundary conditions.…
Functional determinants on certain domains
J. S. Dowker, J. S. Apps
Functional determinants on various domains of the sphere and flat space are presented for scalar and spinor fields.
Further functional determinants
J. S. Dowker, J. S. Apps
Functional determinants for the scalar Laplacian on spherical caps and slices, flat balls, shells and generalised cylinders are evaluated in two, three and four dimensions using co…