Capacity and quantum mechanical tunneling
Copyright policy )Capacity and quantum mechanical tunneling
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.
- Ruhr University Bochum Germany
- Bielefeld University Germany
- University of Wrocław Poland
- Osaka University Japan
Probabilistic potential theory, Dirichlet forms, tunneling, 31C15, 60J25, singular potentials, 81C20, Stochastic mechanics (including stochastic electrodynamics), capacity of sets, Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)
Probabilistic potential theory, Dirichlet forms, tunneling, 31C15, 60J25, singular potentials, 81C20, Stochastic mechanics (including stochastic electrodynamics), capacity of sets, Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)
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