Quantum Dynamics: Models and Mathematics -

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Résumé :
Jordan Algebras Versus C* -Algebras.- Decomposition of Families of Unbounded Operators.- Structure of (real-time) P (?)2Green's Functions.- Asymptotic Perturbation Expansion for the S-matrix in P (?)2 Quantum Field Theory Models.- Time Ordered Operator Products and the Scattering Matrix in P (?)2 Models.- Recent Progress on the Yukawa2 Quantum Field Theory.- The Cluster Expansion for Y2.- External Field Dependence of Magnetization and Long Range Order in Quantum Field Theory.- Critical Exponents and Renormalization in the (?)4 Scaling Limit.- An Asymptotic Perturbation Expansion for Multiphase$$ \varphi _2^4 \cdot \cdots 167 $$.- Renormalization Problem in Massless (?4)4+? Theory.- Challenging Problems in Singular Dynamical Systems.- Thermodynamic Limit of the Free Energy and Correlation Functions of Spin Systems.- The Lorenz Attractor and the Problem of Turbulence....

Sommaire:
Jordan Algebras Versus C* -Algebras.- Decomposition of Families of Unbounded Operators.- Structure of (real-time) P (?)2Green's Functions.- Asymptotic Perturbation Expansion for the S-matrix in P (?)2 Quantum Field Theory Models.- Time Ordered Operator Products and the Scattering Matrix in P (?)2 Models.- Recent Progress on the Yukawa2 Quantum Field Theory.- The Cluster Expansion for Y2.- External Field Dependence of Magnetization and Long Range Order in Quantum Field Theory.- Critical Exponents and Renormalization in the (?)4 Scaling Limit.- An Asymptotic Perturbation Expansion for Multiphase dollars dollars \varphi _2^4 \cdot \cdots 167 dollars dollars.- Renormalization Problem in Massless (?4)4+? Theory.- Challenging Problems in Singular Dynamical Systems.- Thermodynamic Limit of the Free Energy and Correlation Functions of Spin Systems.- The Lorenz Attractor and the Problem of Turbulence.