The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Quantum Stochastic Processes
Open accessAbstract
A class of non-commutative stochastic processes is defined.These processes are defined up to equivalence by their multi-time correlation kernels.A reconstruction theorem, generalizing the Kolmogorov theorem for classical processes, is proved.Markov processes and their associated semigroups are studied, and some non-quasi free examples are constructed on the Clifford algebra, with the use of a perturbation theory of Markov processes.The connection with the Hepp-Lieb models is discussed.
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Cites
An algebraic approach to quantum field theory
Haag, R., & Kastler, D. (1964) · Journal of Mathematical Physics · doi:10.1063/1.1704187 · Cited by 1,250
Kinetic equations from Hamiltonian dynamics: Markovian limits
Spohn, H. (1980) · Reviews of Modern Physics · doi:10.1103/revmodphys.52.569 · Cited by 1,013
Cited by
Quantum non-Markovianity: characterization, quantification and detection
Rivas, Á., Huelga, S. F., & Plenio, M. B. (2014) · Reports on Progress in Physics · doi:10.1088/0034-4885/77/9/094001 · Cited by 1,035
Concepts of quantum non-Markovianity: A hierarchy
Li, L., Hall, M. J. W., & Wiseman, H. M. (2018) · Physics Reports · doi:10.1016/j.physrep.2018.07.001 · Cited by 353
Non-Markovian quantum processes: Complete framework and efficient characterization
Pollock, F. A., Rodríguez-Rosario, C., Frauenheim, T., Paternostro, M., & Modi, K. (2018) · Physical Review A · doi:10.1103/physreva.97.012127 · Cited by 334
On the existence of quantum subdynamics
Lindblad, G. (1996) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/29/14/037 · Cited by 41
Metadata
- Authors
- Accardi, L., Frigerio, A., & Lewis, J. T.
- Venue
- Publications of the Research Institute for Mathematical Sciences
- Published
- 1982-04-30
- Volume
- 18
- Issue
- 1
- Pages
- 97-133
- ISSN
- 0034-5318 (ISSN-L)
- 1663-4926
- OpenAlex
- W3000705579
- Cited by
- 263
- References
- 2
- FWCI
- 9.93
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Accardi, L., Frigerio, A., & Lewis, J. T. (1982). Quantum Stochastic Processes. Publications of the Research Institute for Mathematical Sciences. https://doi.org/10.2977/prims/1195184017
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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