Heat-kernel coefficients of the Laplace operator on the 3-dimensional ball

1995/01/16 by Kirsten, K., Bordag, M.
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.hep-th/9501064

Abstract

We consider the heat-kernel expansion of the massive Laplace operator on the three dimensional ball with Dirichlet boundary conditions. Using this example, we illustrate a very effective scheme for the calculation of an (in principle) arbitrary number of heat-kernel coefficients for the case where the basis functions are known. New results for the coefficients B_{\frac 5 2},...,B₅ are presented.

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