Noncommutative Mathematics for Quantum Systems

(Dana P.) #1

References


[AFS02] L. Accardi, U. Franz, and M. Skeide. Renormalized squares of white
noise and other non-Gaussian noises as L ́evy processes on real Lie
algebras.Comm. Math. Phys., 228(1): 123–150, 2002.


[ALS07] L. Accardi, R. Lenczewski, and R. Sałapata. Decompositions of the
free product of graphs.Infin. Dimens. Anal. Quantum Probab.
Relat. Top., 10(3): 303–334, 2007.


[Ans02] M. Anshelevich. Ito formula for free stochastic integrals.ˆ J. Funct.
Anal., 188(1): 292–315, 2002.


[Ans03] M. Anshelevich. Free martingale polynomials. J. Funct. Anal.,
201(1): 228–261, 2003.


[App04] D. Applebaum. L ́evy Processes and Stochastic Calculus.
Cambridge University Press, 2004.


[App05] D. Applebaum. Lectures on classical Levy process in Euclidean spaces ́
and groups. In [QIIP-I], pp. 1–98, 2005.


[App10] D. Applebaum, Infinitely Divisible Central Probability Measures on
Compact Lie Groups - Regularity, Semigroups and Transition Kernels.
Ann. Probab.39 (2011), no. 6, 2474–2496.


[App14] D. Applebaum. Probability on Compact Lie Groups. Stochastic
Modelling and Probability Theory Vol. 70, Springer-Verlag, Berlin,
2014.


[Ara09] H. Araki. Mathematical theory of quantum fields. Oxford
University Press, reprint of the 1999 hardback edition, 2009.


[ASW88] L. Accardi, M. Schurmann, and W.v. Waldenfels. ̈ Quantum
independent increment processes on superalgebras.Math. Z., 198:
451–477, 1988.


107
Free download pdf