Abstract
Abstract
I build random walks on finite graphs Γ(V,E) with vertices V and directed edges E by sequences of randomly selected edges. Edge selection may also be organized by a curve on a torus, observing circuits in both directions of the course at a single circle. The edges trigger state changes of the vertices for particles, bosons or fermions due to the state spaces at the vertices. As a statistical result, I obtain a quantum canonical ensemble together with a vacuum. There are two kinds of process steps, acceptions and rejections, corresponding to stimulated and spontaneous emissions. Such processes are asynchronous versions of time evolution in quantum mechanics.
Publisher
Research Square Platform LLC
Reference17 articles.
1. Anderson More is Different Science;4047. (Aug.,1972
2. T. S. Biro Is there a temperature? Springer Sience + Business Media LLC 2011
3. O. Darrigol ‘Shut up and contemplate!’: Lucien Hardy׳s reasonable axioms for quantum theory Studies in History and Philosophy of Modern Physics 52 (2015) 328–342
4. L. Fadeev Basics of quantum mechanics and Canonical Quantization in Hilbert Space in Quantum Fields and String: A Course for Mathematicians vol. I American Mathematical Society 1999
5. Glossary in Quantum Fields and String: A Course for Mathematicians vol. I American Mathematical Society 1999