Zeta function determinant of the Laplace operator on the $D$-dimensional ball

Details Zeta function determinant of the Laplace operator on the $D$-dimensional ball Zeta function determinant of the Laplace operator on the $D$-dimensional ball

1995-05-24

arxiv.org/abs/hep-th/9505157v1

Commun.Math.Phys.179:215-234,1996

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, one figure appended as uuencoded postscript file

Scientific paper

10.1007/BF02103720

We present a direct approach for the calculation of functional determinants
of the Laplace operator on balls. Dirichlet and Robin boundary conditions are
considered. Using this approach, formulas for any value of the dimension, $D$,
of the ball, can be obtained quite easily. Explicit results are presented here
for dimensions $D=2,3,4,5$ and $6$.

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