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 Bellissard, J. (Jean)
 Berlin ; New York : SpringerVerlag, c1994.
 Description
 Book — 192 p. : ill. ; 24 cm.
 Summary

This volume contains a series of lectures intended to give a broad survey of the mathematical problems arising in the chaotic transition of deterministic dynamical systems, both in classical and quantum mechanics. The lectures of Mather and Forni thoroughly cover the area preserving twist maps, and include an uptodate version of the AubryMather theory. The lectures of Bellissard describe the quantum aspects: classical limit, localization, and spectral properties of the relevant Schrodinger operators, thus representing an exhaustive introduction to the mathematics of "quantum chaos". Other lectures review equidistribution of unstable periodic orbits and the classical limit of quantized total symplectomorphisms.
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Shelved by Series title V.1589  Unknown 
 Eijndhoven, S. J. L. van (Stephanus J. L.), 1956
 Berlin ; New York : SpringerVerlag, c1985.
 Description
 Book — iv, 272 p. 25 cm.
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Shelved by Series title V.1162  Unknown 
 FrenchGerman Encounter in Mathematics and Physics (2nd : 1983 : Marseille, France)
 Berlin ; New York : SpringerVerlag, 1985.
 Description
 Book — viii, 227 p. : ill. ; 25 cm.
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 Hislop, Peter D., 1955
 Providence, R.I., USA : American Mathematical Society, c1989.
 Description
 Book — iv, 123 p. : ill. ; 26 cm.
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Shelved by Series title NO.399  Unknown 
 Inoue, Atsushi, 1944
 Berlin ; London : Springer, c1998.
 Description
 Book — viii, 241 p. ; 24 cm.
 Summary

 Introduction. Fundamentals of O*algebras. Standard systems and modular systems. Standard weights on O*algebras. Physical Applications. References. Index.
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Shelved by Series title V.1699  Unknown 
6. Quantum probability for probabilists [1993]
 Meyer, Paul André.
 Berlin ; New York : SpringerVerlag, c1993.
 Description
 Book — x, 287 p. ; 25 cm.
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Shelved by Series title V.1538  Unknown 
7. Quantum probability for probabilists [1995]
 Meyer, Paul André.
 2nd ed.  Berlin ; New York : Springer, c1995.
 Description
 Book — 312 p.
 Summary

In recent years, the classical theory of stochastic integration and stochastic differential equations has been extended to a noncommutative setup to develop models for quantum noises. The author, a specialist of classical stochastic calculus and martingale theory, tries to provide an introduction to this rapidly expanding field in a way which should be accessible to probabilists familiar with the Ito integral. It can also, on the other hand, provide a means of access to the methods of stochastic calculus for physicists familiar with Fock space analysis. For this second edition, the author has added about 30 pages of new material, mostly on quantum stochastic integrals.
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Shelved by Series title V.1538 2ND ED  Unknown 
 Rădulescu, Florin, 1960
 Providence, R.I. : American Mathematical Society, 1998.
 Description
 Book — viii, 70 p. ; 26 cm.
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Shelved by Series title NO.630  Unknown 
9. White noise on bialgebras [1993]
 Schürmann, Michael, 1955
 Berlin ; New York : SpringerVerlag, c1993.
 Description
 Book — 146 p.
 Summary

Stochastic processes with independent increments on a group are generalized to the concept of "white noise" on a Hopf algebra or bialgebra. The main purpose of the book is the characterization of these processes as solutions of quantum stochastic differential equations in the sense of R.L. Hudson and K.R. Parthasarathy. The notes are a contribution to quantum probability but they are also related to classical probability, quantum groups, and operator algebras. The Az ma martingales appear as examples of white noise on a Hopf algebra which is a deformation of the Heisenberg group. The book should be of interest to probabilists and quantum probabilists. Specialists in algebraic structures who are curious about the role of their concepts in probablility theory as well as quantum theory may find the book interesting. The reader should have some knowledge of functional analysis, operator algebras, and probability theory.
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Shelved by Series title V.1544  Unknown 
 Sigal, Israel Michael, 1945
 Providence : American Mathematical Society, 1978.
 Description
 Book — iii, 147 p. ; 26 cm.
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Shelved by Series title NO.209  Unknown 
 Von Neumann, John, 19031957.
 Providence, R.I. : American Mathematical Society, 1981.
 Description
 Book — vii, 210 p. ; 26 cm.
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Shelved by Series title NO.252  Unknown 
 Berlin ; New York : SpringerVerlag, 1982.
 Description
 Book — viii, 477 p. ; 24 cm.
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Shelved by Series title V.928  Unknown 
 Berlin ; New York : SpringerVerlag, c1985.
 Description
 Book — vi, 534 p. ; 25 cm.
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Shelved by Series title V.1136  Unknown 
 Berlin ; New York : SpringerVerlag, 1988.
 Description
 Book — vi, 373 p. : ill. ; 25 cm.
 Summary

 From the contents: C. Cecchini: Some Noncommutative RadonNikodym Theorems on von Neumann Algebras. M. Evans, R.L. Hudson: Multidimensional Quantum Diffusions. G.W. Ford: The Quantum Langevin Equation from the IndependentOscillator Model. A. Frigerio: Quantum Poisson Processes: Physical Motivations and Applications. B. Kummerer: Survey on a Theory of NonCommutative Stationary Markov Processes. G. Lindblad: Dynamical Entropy for Quantum Systems. M. Lindsay, H. Maassen: An Integral Kernel Approach to Noise. K.R. Parthasarathy: Local Measures in Fock Space Stochastic Calculus and a Generalized ItoTanaka Formula. D. Petz: Conditional Expectation in Quantum Probability. J. Quaegebeur: Mutual Quadratic Variation and Ito's Table in Quantum Stochastic Calculus. G.L. Sewell: Entropy, Observability and The Generalised Second Law of Thermodynamics. A. Verbeure: Detailed Balance and Critical Slowing Down. I.F. Wilde: Quantum Martingales and Stochastic Integrals.
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Shelved by Series title V.1303  Unknown 
 Berlin ; New York : SpringerVerlag, c1989.
 Description
 Book — vi, 355 p. : ill. ; 24 cm.
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Shelved by Series title V.1396  Unknown 
 Berlin ; New York : SpringerVerlag, 1984.
 Description
 Book — vi, 411 p. ; 25 cm.
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Shelved by Series title V.1055  Unknown 
 Berlin ; New York : SpringerVerlag, c1990.
 Description
 Book — vi, 413 p.; 24 cm.
 Summary

 From the Contents: L. Accardi, L.Y. Gang: On the Low Density Limit of Boson Models. L. Accardi, R.L. Hudson: Quantum Stochastic Flows and Non Abelian Cohomology. V. Belavkin: A Quantum Stochastic Calculus in Fock Space of Input and Output Nondemolition Processes. C. Cecchini, B. Kummerer: Stochastic Transitions on Preduals of von Neumann Algebras. F. Fagnola: Quantum Stochastic Calculus and a Boson Levy Theorem. D. Goderis, A. Verbeure, P. Vets: Quantum Central Limit and Coarse Graining. H. Maassen: A Discrete Entropic Uncertainty Relation. D. Petz: First Steps Towards a Donsker and Varadhan Theory in Operator Algebras. J.L. Sauvageot: Quantum Dirichlet Forms, Differential Calculus and Semigroups. M. Schurmann: Gaussian States on Bialgebras.
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Shelved by Series title V.1442  Unknown 