Title Statements
- Full title :Quantum techniques in stochastic mechanics / John C. Baez, UC Riverside & Centre for Quantum Technologies, Singapore, Jacob D. Biamonte, Skolkovo Institute of Science and Technology, Russia.
Edition Statements
- Publication Date:2018
Publication Statements
- Publisher(s):World Scientific
- Place of Publication:New Jersey
- Language:eng
- Publication Date:2018
The Physical Object
- Description:xii, 263 pages : : illustrations (some color) ; : 25 cm
Edition Identifiers
- ISBN:9789813226937, 9813226935, 9789813226944, 9813226943
- oclc:on1010585430
- LC Classification:QC174.17.S76
- Dewey Decimal:530.13/3
Table of Contents
Stochastic Petri nets -- The rate equation -- The master equation -- Probabilities vs amplitudes -- Annihilation and creation operators -- An example from population biology -- Feynman diagrams -- The Anderson-Craciun-Kurtz theorem -- An example of the Anderson-Craciun-Kurtz theorem -- A stochastic version of Noether's theorem -- Quantum mechanics vs stochastic mechanics -- Noether's theorem: quantum vs stochastic -- Chemistry and the Desargue graph -- Graph Laplacians -- Dirichlet operators and electrical circuits -- Perron-Frobenius theory -- The deficiency zero theorem -- Example of the deficiency zero theorem -- Example of the Anderson-Craciun-Kurtz theorem -- The deficiency of a reaction network -- Rewriting the rate equation -- The rate equation and Markov processes -- Proof of the deficiency zero theorem -- Further directions -- Noether's theorem for Dirichlet operators -- Computation and Petri nets.
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