2 citations · 2 across the 3 of their papers we have counts for
6 papers
Harmonics on the factored three-sphere and the Hopf map
J. S. Dowker
Laplacian eigenmodes on homogeneous Clifford--Klein factors of the three--sphere are obtained as pullbacks of harmonics on the orbifolded two--sphere using the Hopf map. A method o…
Modular properties of Eisenstein series and statistical physics
J. S. Dowker
The temperature inversion properties of the internal energy, E, on odd spheres, and its derivatives, together with their expression in elliptic terms, as expounded in previous pape…
Spherical harmonics, invariant theory and Maxwell's poles
J. S. Dowker
I discuss the relation between harmonic polynomials and invariant theory and show that homogeneous, harmonic polynomials correspond to ternary forms that are apolar to a base conic…
Divergences in the Casimir energy
J. S. Dowker
The divergence found by Nesterenko, Lambiase and Scarpetta in the Casimir energy on a semi-circular cylinder is attributed to the existence of edges.
On the relevance of the multiplicative anomaly
J. S. Dowker
We shed doubt on a commonly used manipulation in computing the partition function for a matrix valued operator together with its attendant invocation of the multiplicative anomaly.
Oddball determinants
J. S. Dowker
A simplified direct method is described for obtaining massless scalar functional determinants on the Euclidean ball. The case of odd dimensions is explicitly discussed.