Mathematical Physics and Stochastic Analysis : Essays in Honour of Ludwig Streit
Sergio. Albeverio
Bok Engelsk 2000 · Electronic books.
| Annen tittel | |
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| Utgitt | Singapore : : World Scientific Publishing Company, , 2000.
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| Omfang | 1 online resource (464 p.)
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| Opplysninger | Description based upon print version of record.. - Preface; Contents; Ludwig Streit's list of publications; Books:; Books edited:; SOME THEMES OF THE SCIENTIFIC WORK OF LUDWIG STREIT; 1 Introduction; 2 Research work of Ludwig Streit and some connected developments; 2.1 Quantum field theory; 2.2 Non relativistic quantum theory; 2.3 Nuclear physics; 2.4 Dynamical systems; 2.5 Theory and applications of stochastic processes; 2.6 Infinite dimensional analysis and applications; Acknowledgements; References; MATHEMATICS, PHYSICS AND STREIT SINCE 1975; 0. Prelude.; 1. Historical note.; 2. Complex random systems and applications.. - 3 Differential forms and de Rham complex4 Dirichlet operators on differential forms; 5 Probabilistic representations of semigroups; 6 Stochastic dynamics for lattice models associated with Gibbs measures on product manifolds; References; REAL TIME RANDOM WALKS ON P-ADIC NUMBERS; 1 Introduction; 2 Lévy Processes on Qp; 3 Random Walks with Weighted Target States; 4 The Global Properties; 5 Trace Formula; References; CHARACTERIZATION OF TEST FUNCTIONS IN CKS-SPACE; 1 Introduction; 2 Characterization theorems; 3 Examples and comments; 3.1 Four conditions; 3.2 Examples; 3.3 General growth order. - 3 Empirical reasons for time asymmetric quantum mechanics4 The Hilbert space idealization has reversible time evolution; 5 The Rigged Hilbert Space idealization has irreversible semigroup evolution and Gamow vectors with exponential decay; Acknowledgement; References; Q-ISING NEURAL NETWORK DYNAMICS : A COMPARATIVE REVIEW OF VARIOUS ARCHITECTURES; 1 Introduction; 2 Q-Ising neural networks; 3 Solving the dynamics; 3.1 Correlations; 3.2 First time step; 3.3 Recursive dynamical scheme; 4 Fixed-point equations; 5 Concluding remarks; Acknowledgments; References. - 3. Analysis of random fields.4. Remarks.; Acknowledgements.; References; STOCHASTIC LIMIT AND INTERACTING COMMUTATION RELATIONS; 1 Introduction; 2 Notations and preliminaries; 2.1 Friedrichs diagrams; 2.2 Hamiltonians; 3 The Stochastic Limit; 4 Matrix elements of composite operators; 5 Entangled Commutation Relations; 5.1 Stochastic limit for N point correlators in one-particle states; 5.2 Stochastic limit for N point correlators in n particles states; Conclusion; DE RHAM COMPLEX OVER PRODUCT MANIFOLDS: DIRICHLET FORMS AND STOCHASTIC DYNAMICS; 1 Introduction; 2 Setting. - ReferencesNONLINEAR LIE ALGEBRAS IN QUANTUM PHYSICS AND THEIR INTEREST IN QUANTUM FIELD THEORY; References; CONTINUOUS PERCOLATION: TREE APPROXIMATION AND MOST PROBABLE CLUSTERS; 1 Introduction; 2 Model of generations; 2.1 Presentation; 2.2 Directed percolation; 3 The k-cluster model; 3.1 Most probable cluster shapes; 3.2 Structure of percolating clusters; 3.3 Results; Acknowledgments; References; RIGGED HILBERT SPACE RESONANCES AND TIME ASYMMETRIC QUANTUM MECHANICS; 1 Introduction; 2 The fundamental calculational tools of quantum mechanics. - THE RELATIVISTIC AHARONOV-BOHM-COULOMB PROBLEM: A PATH INTEGRAL SOLUTION. - In October 1998 a conference was held in Lisbon to celebrate Ludwig Streit's 60th birthday. This book collects some of the papers presented at the conference as well as other essays contributed by the many friends and collaborators who wanted to honor Ludwig Streit's scientific career and personality.The contributions cover many aspects of contemporary mathematical physics. Of particular importance are new results on infinite-dimensional stochastic analysis and its applications to a wide range of physical domains.List of Contributors: S Albeverio, T Hida, L Accardi, I Ya Aref'eva, I V Volovich
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| Emner | |
| Sjanger | |
| Dewey | |
| ISBN | 9810244401
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