Barhoumi, Abdessatar; Ammou, Bilel Kacem Ben; Rguigui, Hafedh Infinite degrees of freedom Weyl representation: characterization and application. (English) Zbl 1388.60119 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 21, No. 1, Article ID 1850002, 23 p. (2018). MSC: 60H40 46A32 46F25 46G20 PDFBibTeX XMLCite \textit{A. Barhoumi} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 21, No. 1, Article ID 1850002, 23 p. (2018; Zbl 1388.60119) Full Text: DOI
Parthasarathy, K. R. An introduction to quantum stochastic calculus. Reprint of the 1992 ed. (English) Zbl 1338.81010 Modern Birkhäuser Classics. Basel: Birkhäuser (ISBN 978-3-0348-0565-0/pbk). xi, 290 p. (2013). MSC: 81-02 81S25 46L53 81P16 60H30 PDFBibTeX XMLCite \textit{K. R. Parthasarathy}, An introduction to quantum stochastic calculus. Reprint of the 1992 ed. Basel: Birkhäuser (2013; Zbl 1338.81010) Full Text: DOI
Accardi, Luigi; Ouerdiane, Habib; Rebei, Habib Lévy processes through time shift on oscillator Weyl algebra. (English) Zbl 1331.60158 Commun. Stoch. Anal. 6, No. 1, 125-155 (2012). MSC: 60J65 60G51 60H40 60J45 81S20 PDFBibTeX XMLCite \textit{L. Accardi} et al., Commun. Stoch. Anal. 6, No. 1, 125--155 (2012; Zbl 1331.60158)
Sinha, Kalyan B.; Goswami, Debashish Quantum stochastic processes and noncommutative geometry. (English) Zbl 1144.81002 Cambridge Tracts in Mathematics 169. Cambridge: Cambridge University Press (ISBN 0-521-83450-3/hbk). x, 290 p. (2007). Reviewer: Nicolas Privault (Hong Kong) MSC: 81-01 81S25 46L53 46L55 81-02 81R15 PDFBibTeX XMLCite \textit{K. B. Sinha} and \textit{D. Goswami}, Quantum stochastic processes and noncommutative geometry. Cambridge: Cambridge University Press (2007; Zbl 1144.81002) Full Text: DOI
Ji, Un Cig Stochastic integral representations of quantum martingales on multiple Fock space. (English) Zbl 1114.60045 Proc. Indian Acad. Sci., Math. Sci. 116, No. 4, 489-505 (2006). Reviewer: Isamu Dôku (Saitama) MSC: 60H05 81S25 60G48 46L54 PDFBibTeX XMLCite \textit{U. C. Ji}, Proc. Indian Acad. Sci., Math. Sci. 116, No. 4, 489--505 (2006; Zbl 1114.60045) Full Text: DOI arXiv
Bhat, B. V. Rajarama Cocycles of CCR flows. (English) Zbl 0976.46050 Mem. Am. Math. Soc. 709, 114 p. (2001). Reviewer: Isamu Dôku (Urawa) MSC: 46L55 81S25 46-02 PDFBibTeX XMLCite \textit{B. V. R. Bhat}, Cocycles of CCR flows. Providence, RI: American Mathematical Society (AMS) (2001; Zbl 0976.46050) Full Text: DOI
Liebscher, Volkmar A generalization of the conservation integral. (English) Zbl 0940.60066 Alicki, Robert (ed.) et al., Quantum probability. Workshop, Gdańsk, Poland, July 1-6, 1997. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 43, 273-284 (1998). Reviewer: Wolfgang Freudenberg (Cottbus) MSC: 60H05 81S25 60H07 PDFBibTeX XMLCite \textit{V. Liebscher}, Banach Cent. Publ. 43, 273--284 (1998; Zbl 0940.60066) Full Text: EuDML
Parthasarathy, K. R. On some Markov processes arising from the Eyre-Hudson super Lie algebra representations. (English) Zbl 0921.60097 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 1, No. 3, 485-498 (1998). MSC: 60K40 81S25 46L60 17A70 PDFBibTeX XMLCite \textit{K. R. Parthasarathy}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 1, No. 3, 485--498 (1998; Zbl 0921.60097) Full Text: DOI
Percival, Ian Quantum state diffusion. (English) Zbl 0946.60093 Cambridge: Cambridge University Press. xi, 176 p. (1998). Reviewer: Rolando Rebolledo Berroe (Santiago de Chile) MSC: 60K40 81-02 60-02 58J65 PDFBibTeX XMLCite \textit{I. Percival}, Quantum state diffusion. Cambridge: Cambridge University Press (1998; Zbl 0946.60093)
Monte, Roberto Quantum extension of transient Bessel processes. (English) Zbl 0929.60046 Random Oper. Stoch. Equ. 5, No. 2, 117-136 (1997). Reviewer: M.P.Moklyachuk (Kyïv) MSC: 60H25 PDFBibTeX XMLCite \textit{R. Monte}, Random Oper. Stoch. Equ. 5, No. 2, 117--136 (1997; Zbl 0929.60046) Full Text: DOI
Hudson, R. L.; Parthasarathy, K. R. Casimir chaos in a boson Fock space. (English) Zbl 0804.60052 J. Funct. Anal. 119, No. 2, 319-339 (1994). Reviewer: P.Biane (Paris) MSC: 60H99 81S25 46L51 46L53 46L54 20C35 PDFBibTeX XMLCite \textit{R. L. Hudson} and \textit{K. R. Parthasarathy}, J. Funct. Anal. 119, No. 2, 319--339 (1994; Zbl 0804.60052) Full Text: DOI
Bukas, A. Application of quantum stochastic calculus to optimal control. (English. Russian original) Zbl 0796.60067 Math. Notes 53, No. 5, 489-494 (1993); translation from Mat. Zametki 53, No. 5, 48-56 (1993). MSC: 60H10 93E20 PDFBibTeX XMLCite \textit{A. Bukas}, Math. Notes 53, No. 5, 1 (1993; Zbl 0796.60067); translation from Mat. Zametki 53, No. 5, 48--56 (1993)
Meyer, Paul-André Quantum probability for probabilists. (English) Zbl 0773.60098 Lecture Notes in Mathematics. 1538. Berlin: Springer-Verlag. x, 287 p. (1993). Reviewer: A.S.Holevo (Moskva) MSC: 60K40 60-02 60H99 81S25 81-02 PDFBibTeX XMLCite \textit{P.-A. Meyer}, Quantum probability for probabilists. Berlin: Springer-Verlag (1993; Zbl 0773.60098) Full Text: DOI
Lindsay, J. M. Independence for quantum stochastic integrators. (English) Zbl 0937.60046 Accardi, L. (ed.), Quantum probability and related topics: QP-PQ. Volume VI. Singapore: World Scientific Publishing. 325-332 (1991). Reviewer: Volkmar Liebscher (Neuherberg) MSC: 60H05 81S25 PDFBibTeX XMLCite \textit{J. M. Lindsay}, in: Quantum probability and related topics. Singapore: World Scientific Publishing. 325--332 (1991; Zbl 0937.60046)