Abstract
We connect the notion of capacity of sets in the theory of symmetric Markov process and Dirichlet forms with the notion of tunneling through the boundary of sets in quantum mechanics. In particular we show that for diffusion processes the notion appropriate to a boundary without tunneling is more refined than simply capacity zero. We also discuss several examples in ℝd.
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Albeverio, S., Fukushima, M., Karwowski, W. et al. Capacity and quantum mechanical tunneling. Commun.Math. Phys. 81, 501–513 (1981). https://doi.org/10.1007/BF01208271
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DOI: https://doi.org/10.1007/BF01208271