Existence of the Fock Representation for Current Algebras of the Galilei Algebra (L Accardi et al.) Modular Structures and Landau Levels (F Bagarello) On Spectral Approach to Pascal White Noise Functionals (A Barhoumi) Spectral Analysis for Twisted Waveguides (P Briet) Classification of Invarient State of Generic Quantum Markov Semigroups: The Gaussian Gauge (S Hachiha) On Difficulties Appearing in the Study of Stochastic Volterra Equations (A Karczewska) Entanglement Protection and Generation in Two Atom System (M Orszag) Hilbert Molecules - Square Roots of Positive Maps (M Skeide) Multiparameter Quantum Stochastic Processes (J Spring) and other papers.
Existence of the Fock Representation for Current Algebras of the Galilei Algebra (L Accardi et al.) Modular Structures and Landau Levels (F Bagarello) On Spectral Approach to Pascal White Noise Functionals (A Barhoumi) Spectral Analysis for Twisted Waveguides (P Briet) Classification of Invarient State of Generic Quantum Markov Semigroups: The Gaussian Gauge (S Hachiha) On Difficulties Appearing in the Study of Stochastic Volterra Equations (A Karczewska) Entanglement Protection and Generation in Two Atom System (M Orszag) Hilbert Molecules - Square Roots of Positive Maps (M Skeide) Multiparameter Quantum Stochastic Processes (J Spring) and other papers.
Linear Independence of the Renormalized Higher Powers of White Noise (L Accardi & A Boukas) Brownian Dynamics Simulation for Protein Holding and Binding (T Ando) Quantum Fokker-Planck Models: the Lindblad and the Wigner Approaches (A Arnold et al.) Free Martingale Polynomials for Stationary Jacobi Processes (N Demni) Accardi Complementarity for -1/2 < A < 0 and Related Results (L A Echavarria et al.) Quantum Models of Brain Activity I. Recognition of Signals (K H Fichtner & L Fichtner) Central Decompositions of Endomorphisms of von Neumann Algebras (R Floricel) Schrodinger Equation, Lp-Duality and the Geometry of Wigner-Yanase-Dyson Information (P Gibilisco et al.) Multiplicative Renormalization Method for Orthogonal Polynomials (H H Kuo) Quantum Lp and Orlicz Spaces (L E Labuschagne & W Majewski) Vicious Random Walkers and Truncated Haar Unitaries (J I Novak) Incoherent Quantum Control (A Pechen & H Rabitz) Compromising Non-demolition and Information Gaining for Qubit State Estimation (L Rupper et al.) Positivity of Free Convolution Semigroups (M Schurman & S VoA ) Quasi-Free Stochastic Integrals and Martingale Representation (W J Spring) A Method of Recovering the Moments of a Probability Measure from Commutators (A I Stan & J J Whitaker) Description of Decoherence by Means of Translation Covariant Master Equation and Levy Processes (B Vachinni) and other papers
Markov property - recent developments on the quantum Markov property, L. Accardi and F. Fidaleo stationary quantum stochastic processes from the cohomological point-of-view, G.G. Amosov the Feller property of a class of quantum Markov semigroups II, R. Carbone and F. Fagnola recognition and teleportation, K.-H. Fichtner et al prediction errors and completely positive maps, R. Gohm multiplicative properties of double stochastic product integrals, R.L. Hudson isometric cocycles related to beam splittings, V. Liebscher multiplicativity via a hat trick, J.M. Lindsay and S.J. Wills dilation theory and continuous tensor product systems of Hilbert modules, M. Skeide quasi-free fermion planar quantum stochastic integrals, W.J. Spring and I.F. Wilde. (Part contents).
Probability Measures in Terms of Creation, Annihilation and Neutral Operators (L Accardi et al.) Generating Function Methods for Orthogonal Polynomials and Jacobi-Szego Parameters (N Asai et al.) Multiquantum Markov Semigroups, Interacting Branching Processes and Nonlinear Kinetic Equations. Finite Dimensional Case (V Belavkin & C Williams) A Note on Vacuum-Adapted Semimartingales and Monotone Independence (A Belton) Regular Quantum Stochastic Cocycles have Exponential Product Systems (B V R Bhat & M Lindsay) Quantum Mechanics on the Circle Through Hopf q-Deformations of the Kinematical Algebra with Possible Applications to Levy Processes (V K Dobrev et al.) On Algebraic and Quantum Random Walks (D Ellinas) Dual Representations for the Schrodinger Algebra (P H Feinsilver & R Schott) A Limit Theorem for Conditionally Independent Beam Splittings (K H Fichtner et al.) On Quantum Logical Gates on a General Fock Space (W Feudenberg et al.) On an Argument of David Deutsch (R Gill) The Method of Double Product Integrals in Quantization of Lie Bialgebras (R Hudson) Asymptotics of Large Truncated Haar Unitary Matrices (J Reffy) Three Ways to Representations of Ba(E) (M Skeide) On Topological Entropy of Quotients and Extensions (J Zacharias) and other papers.
A Combinatorial Identity and Its Application to Gaussian Measure (L Accardi, H-H Kuo & A I Stan) Integral Representation of Positive Operator on Infinite Dimensional Space of Entire Functions (W Ayed & H Ouerdiane) Comparison of Some Methods of Quantum State Estimation (D Petz et al.) Entropic Bounds and Continual Measurements (A Barchielli & G Lupieri) Covariant Quantum Stochastic Flows and Their Dilation (V Belavkin & L Gregory) Alicki-Fannes and Hudson-Parthasarathy Evolution Equations (A C R Belton) Functional Integrals Over Smolyanov Surface Measures for Evolution Equations in a Riemannian Manifold (Ya A Butko) Quantum Probabilistic Model for the Financial Market (O Choustova) Note on the Time Operator (T Hida) An Analytic Double Product Integral (R L Hudson) To Quantum Mechanics Through Gaussian Integration and the Taylor Expansion of Functionals of Classical Fields (A Yu Khrennikov) A Theorem on Liftings of Statistical Operators (J Kupsch) Thermodynamical Formalism for Quasi-Local C*-Systems and Fermion Grading Symmetry (H Moriya) Micro-Macro Duality and an Attempt Towards Measurement Scheme of Quantum Fields (I Ojima) The Levy Laplacian Acting on Some Class of Levy Functionals (K Saito & A H Tsoi) On the General Form of the Integral-Sigma Lemma in Symmetric Fock Space (K Schubert) Spatial E0-Semigroups are Restrictions of Inner Automorphism Groups (M Skeide) A Characterization of Poisson Noise (Si Si) On Two Conjectures in Segal-Bargmann Analysis (S B Sontz) Note on Quantum Mutual Type Entropies and Capacity (N Watanabe) and other papers.
Feynman functional integrals and the stochastic limit, L. Accardi dynamical programming, filtering and control of quantum Markov processes, V.P. Belavkin quantum stochastic equation is unitarily equivalent to a symmetric boundary value problem for the Schrodinger equation, A.M. Chebotarev on phase transitions, M. Corgini existence of attractors for dissipative Schrodinger equation in R, M.A. Astaburuaga and V.H. Cortes reduction of noise by squeezed vacuum, F. Fagnola et al outgoing states and resonant behaviour, C. Fernandez stochastic Dyson series and the solution to associated stochastic evolution equations, G.W. Johnson and G. Kallianpur norm estimates for a class of semigroups of Schrodinger type, H. Prado on the recurrence of quantum dynamical semigroups, R. Rebolledo collective interactions in CQED, C. Saavedra T-product and Wiener Measure, D.P. Sankovich from Feynman-Kac formulae to Feynman-Kac semigroups, J.A. van Casteren completely positive quantum stochastic flows with infinite degrees of freedom, J. Lindsay and S.J. Wills characterization of continuous operators on infinite dimension distribution spaces, S.-L. Luo and J.-A. Yan a special time-dependent quantum invariant and a general theorem on quantum symmetries, J.-G. Zambrini.
On the stochastic limit of quantum chromodynamics, L. Accardi et al flows and imprimitivity systems, L. Accardi and A. Mohari fermion stochastic flows on quantum algebras, D. Applebaum examples of unbounded generators leading to nonconservative minimal semigroups, R.B.V. Bhat and K.B. Sinha on the structure of quantum Markov processes, C. Cecchini diffusion processes in fock space, F. Fagnola on the isomorphism of Poisson space and symmetric fock space, V. Liebscher non-linear master equation and non-crossing cumulants, P. Neu and R. Speicher a general central limit theorem and invariance principle, R. Speicher and W. von Waldenfels.