The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Quantum Ito's formula and stochastic evolutions
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Citations
Cites
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548 · cited 3×
“Each such unitary process generates in a natural way a uniformly continuous semigroup of completely positive maps, indicating that the formalism developed here permits the integration of irreversible equations of motion described by such semigroups, as studied by Lindblad [10] and by Gorini et al. [4].”
MethodInfluentialCompletely positive dynamical semigroups of N -level systems
Gorini, V., Kossakowski, A., & Sudarshan, E. C. G. (1976) · Journal of Mathematical Physics · doi:10.1063/1.522979 · Cited by 3,998 · cited 1×
“Each such unitary process generates in a natural way a uniformly continuous semigroup of completely positive maps, indicating that the formalism developed here permits the integration of irreversible equations of motion described by such semigroups, as studied by Lindblad [10] and by Gorini et al. [ 4 ].”
Method
Research works printed but not linked: 9
- Accardi, L.: On the quantum Feynman-Kac formula. Rend. Sem. Mat. Fis. Milano48, 135?180 (1980) · DOI
- Applebaum, D., Hudson, R.L.: Fermion diffusions. J. Math. Phys. (to appear) · doi:10.1063/1.526236
- Barnett, C., Steater, R.F., Wilde, I.: The Ito-Clifford integral. J. Funct. Anal.48, 172?212 (1982) · doi:10.1016/0022-1236(82)90066-0
- Hudson, R.L., Ion, P.D.F., Parthasarathy, K.R.: Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae. Commun. Math. Phys.83, 261?80 (1982) · doi:10.1007/bf01976044
- Hudson, R.L., Karandikar, R.L., Parthasarathy, K.R.: Towards a theory of noncommutative semimartingales adapted to Brownian motion and a quantum Ito's formula; and Hudson, R.L., Parthasarathy, K.R.: Quantum diffusions. In: Theory and applications of random fields, Kallianpur, (ed.). Lecture Notes in Control Theory and Information Sciences 49, Berlin, Heidelberg, New York, Tokyo: Springer 1983
- Hudson, R.L., Parthasarathy, K.R.: Construction of quantum diffusions. In: Quantum probability and applications to the quantum theory of irreversible processes, Accardi (ed.) (to appear) · DOI
- Hudson, R.L., Parthasarathy, K.R.: Stochastic dilations of uniformly continuous completely positive semigroups. Acta Math. Applicandae (to appear) · DOI
- Ikeda, N., Watenabe, S.: Stochastic differential equations and diffusion processes. Amsterdam: North-Holland 1981
- Liptser, R.S., Shiraev, A.N.: Statistics of random processes. I. General theory. Berlin, Heidelberg, New York: Springer 1977 · DOI · Paper page
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
Quantum feedback: Theory, experiments, and applications
Zhang, J., Liu, Y.-X., Wu, R.-B., Jacobs, K., & Nori, F. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.02.003 · Cited by 272
Metadata
- Authors
- Hudson, R. L., & Parthasarathy, K. R.
- Venue
- Communications in Mathematical Physics
- Published
- 1984-09
- Volume
- 93
- Issue
- 3
- Pages
- 301-323
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2084265277
- Cited by
- 1,183
- References
- 2
- FWCI
- 21.91
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
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- Hudson, R. L., & Parthasarathy, K. R. (1984). Quantum Ito's formula and stochastic evolutions. Communications in Mathematical Physics. https://doi.org/10.1007/bf01258530
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
