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

K. Kirsten; M. Bordag

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arXiv · hep-th/9501064

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

K. Kirsten·M. Bordag

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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 $B_{\frac 5 2},...,B_5$ are presented.

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K. Kirsten, M. Bordag. 1995-01-16. Heat-kernel coefficients of the Laplace operator on the 3-dimensional ball. https://arxiv.org/abs/hep-th/9501064

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