info:eu-repo/semantics/article
Multiple reflection expansion and heat kernelcoefficients
Fecha
2001-12Registro en:
Bordag, M.; Vassilievich, D.; Falomir, Horacio Alberto; Santangelo, Eve Mariel; Multiple reflection expansion and heat kernelcoefficients; American Physical Society; Physical Review D; 64; 12-2001; 045017-28
0556-2821
CONICET Digital
CONICET
Autor
Bordag, M.
Vassilievich, D.
Falomir, Horacio Alberto
Santangelo, Eve Mariel
Resumen
We propose the multiple reflection expansion as a tool for the calculation of heat kernel coefficients. As an example, we give the coefficients for a sphere as a finite sum over reflections, obtaining as a byproduct, a relation between the coefficients for Dirichlet and Neumann boundary conditions. Further, we calculate the heat kernel coefficients for the most general matching conditions on the surface of a sphere, including those cases corresponding to the presence of delta and delta prime background potentials. In the latter case, the multiple reflection expansion is shown to be nonconvergent.