Abstract
We extend the construction of Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebra, given in [13] to the case of unbounded operators affiliated with the von Neumann algebra. We then apply our result to give Dirichlet forms associated to the momentum and position operators on quantum mechanical systems.
Original language | English |
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Pages (from-to) | 931-951 |
Number of pages | 21 |
Journal | Journal of the Korean Mathematical Society |
Volume | 39 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2002 |
All Science Journal Classification (ASJC) codes
- General Mathematics