Noncommutative Mathematics for Quantum Systems

(Dana P.) #1
References 117

and Physics, U. Franz, M. Schurmann (eds.), Lecture Notes in Math., ̈
Vol. 1866, Springer, 2006.

[RS80] M. Reed and B. Simon.Methods of modern mathematical physics.
I. Academic Press Inc. [Harcourt Brace Jovanovich Publishers], New
York, second edition, 1980. Functional analysis.


[RW00a] L.C.G. Rogers and D. Williams. Diffusions, Markov processes,
and martingales. Vol. 1. Foundations. Reprint of the second
(1994) edition. Cambridge University Press, Cambridge, 2000.


[RW00b] L.C.G. Rogers and D. Williams. Diffusions, Markov processes,
and martingales. Vol. 2. Itˆo calculus.Reprint of the second (1994)
edition. Cambridge University Press, Cambridge, 2000.


[Sat99] K.-I. Sato. L ́evy Processes and Infinitely Divisible
Distributions. Cambridge University Press, Cambridge, 1999.


[Sch90a] M. Schurmann. ̈ Gaussian states on bialgebras. In: Quantum
probability and applications, V (Heidelberg, 1988), 347–367, Lecture
Notes in Math., 1442, Springer, Berlin, 1990.


[Sch90b] M. Sch ̈urmann. Noncommutative stochastic processes with
independent and stationary increments satisfy quantum stochastic
differential equations.Probab. Theory Related Fields, 84(4): 473–
490, 1990.


[Sch91a] M. Schurmann. The Az ̈ ema martingales as components of quantum ́
independent increment processes. In J. Az ́ema, P.A. Meyer, and
M. Yor, editors,S ́eminaire de Probabilit ́es XXV, volume 1485 of
Lecture Notes in Math.Springer-Verlag, 1991.


[Sch91b] M. Schurmann. ̈ Quantum stochastic processes with independent
additive increments.J. Multivariate Anal., 38(1): 15–35, 1991.


[Sch93] M. Sch ̈urmann. White Noise on Bialgebras, volume 1544 of
Lecture Notes in Math.Springer-Verlag, Berlin, 1993.


[Sch95a] M. Schurmann. Direct sums of tensor products and noncommutative ̈
independence.J. Funct. Anal., 1995.


[Sch95b] M. Schurmann. Noncommutative probability on algebraic structures. ̈
In H. Heyer, editor,Proceedings of XI Oberwolfach Conference on
Probability Measures on Groups and Related Structures, pages
332–356. World Scientific, 1995.


[Sch97] M. Schurmann. Cours de DEA. Universit ̈ e Louis Pasteur, Strasbourg, ́
1997.

Free download pdf