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Capacity and quantum mechanical tunneling |
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| Authors: | S Albeverio M Fukushima W Karwowski L Streit |
| Institution: | (1) Mathematisches Institut, Ruhr-Universität Bochum, D-4630 Bochum, Federal Republic of Germany;(2) College of General Education, Osaka University, Japan;(3) Institute for Theoretical Physics, University of Wroclaw, Poland;(4) Fakultät für Physik, Universität Bielefeld, Federal Republic of Germany |
| 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 
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