Noncommutative Mathematics for Quantum Systems
102 Noncommutative Mathematics for Quantum Systems (i) Increment property: We have jrs?jst = jrt for all 0≤r≤s≤t≤∞, jtt = ε (^1) ...
Independence and Levy Processes in Quantum Probability ́ 103 includes also the free convolution. This shows that Levy processes ...
104 Noncommutative Mathematics for Quantum Systems Like for bialgebras, the opposite comultiplication∆op=F◦∆of a dual semigroup( ...
Independence and Levy Processes in Quantum Probability ́ 105 {jopst} 0 ≤s≤t≤Thas anti-monotonically independent increments, and ...
106 Noncommutative Mathematics for Quantum Systems particular Van Daele’s (∗-)algebraic quantum groups [VD98, VD03] and Kusterma ...
References [AFS02] L. Accardi, U. Franz, and M. Skeide. Renormalized squares of white noise and other non-Gaussian noises as L ́ ...
108 References [Ban96] T. Banica. Theorie des repr ́ esentations du groupe quantique compact ́ libreO(n).C. R. Acad. Sci. Paris ...
References 109 [BH96] G.M. Bergman and A.O. Hausknecht. Co-groups and co-rings in categories of associative rings, volume 45 ofM ...
110 References [BV93] H. Bercovici and D. Voiculescu. Free convolution of measures with unbounded support.Indiana Univ. Math. J. ...
References 111 [DNR01] S. Dasc ̆ ̆alescu, C. Nast ̆ ̆asescu and S ̧. Raianu. Hopf algebras. An introduction. Monographs and Text ...
112 References [Fra09] U. Franz. Monotone and Boolean convolutions for non-compactly supported probability measures.Indiana Univ ...
References 113 [Gui72] A. Guichardet. Symmetric Hilbert spaces and related topics, volume 261 ofLecture Notes in Math. Springer- ...
114 References [KV99] J. Kustermans and S. Vaes. A simple definition for locally compact quantum groups.C. R. Acad. Sci. Paris S ...
References 115 [Maa92] H. Maassen. Addition of freely independent random variables. J. Funct. Anal., 106(2): 409–438, 1992. [Mac ...
116 References [NT13] S. Neshveyev and L. Tuset. Compact quantum groups and their representation categories.Cours Sp ́ecialises ...
References 117 and Physics, U. Franz, M. Schurmann (eds.), Lecture Notes in Math., ̈ Vol. 1866, Springer, 2006. [RS80] M. Reed a ...
118 References [Sch00] M. Schurmann. ̈ Operator processes majorizing their quadratic variation. Infin. Dimens. Anal. Quantum Pro ...
References 119 EMS Textbooks in Mathematics. European Mathematical Society (EMS), Zurich, 2008. ̈ [Ulr14] M. Ulrich. Constructio ...
120 References [Wal73] W. von Waldenfels. An approach to the theory of pressure broadening of spectral lines. In M. Behara, K. K ...
2 Quantum Dynamical Systems from the Point of View of Noncommutative Mathematics A starting point of ‘noncommutative mathematics ...
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