Jdk Dj
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Open Quantum Systems and Feynman Integrals
Author: Pavel Exner
language: en
Publisher: Springer Science & Business Media
Release Date: 1984-11-30
Every part of physics offers examples of non-stability phenomena, but probably nowhere are they so plentiful and worthy of study as in the realm of quantum theory. The present volume is devoted to this problem: we shall be concerned with open quantum systems, i.e. those that cannot be regarded as isolated from the rest of the physical universe. It is a natural framework in which non-stationary processes can be investigated. There are two main approaches to the treatment of open systems in quantum theory. In both the system under consideration is viewed as part of a larger system, assumed to be isolated in a reasonable approximation. They are differentiated mainly by the way in which the state Hilbert space of the open system is related to that of the isolated system - either by orthogonal sum or by tensor product. Though often applicable simultaneously to the same physical situation, these approaches are complementary in a sense and are adapted to different purposes. Here we shall be concerned with the first approach, which is suitable primarily for a description of decay processes, absorption, etc. The second approach is used mostly for the treatment of various relaxation phenomena. It is comparably better examined at present; in particular, the reader may consult a monograph by E. B. Davies.
Real and Stochastic Analysis
Author: M. M. Rao
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
As in the case of the two previous volumes published in 1986 and 1997, the purpose of this monograph is to focus the interplay between real (functional) analysis and stochastic analysis show their mutual benefits and advance the subjects. The presentation of each article, given as a chapter, is in a research-expository style covering the respective topics in depth. In fact, most of the details are included so that each work is essentially self contained and thus will be of use both for advanced graduate students and other researchers interested in the areas considered. Moreover, numerous new problems for future research are suggested in each chapter. The presented articles contain a substantial number of new results as well as unified and simplified accounts of previously known ones. A large part of the material cov ered is on stochastic differential equations on various structures, together with some applications. Although Brownian motion plays a key role, (semi-) martingale theory is important for a considerable extent. Moreover, noncommutative analysis and probabil ity have a prominent role in some chapters, with new ideas and results. A more detailed outline of each of the articles appears in the introduction and outline to assist readers in selecting and starting their work. All chapters have been reviewed.
Advances in Information and Communication
The book is a valuable collection of papers presented in the Future of Information and Communications Conference (FICC), conducted by Science and Information Organization on 4–5 April 2024 in Berlin. It received a total of 401 paper submissions out of which 139 are published after careful double-blind peer-review. Renowned and budding scholars, academics, and distinguished members of the industry assembled under one roof to share their breakthrough research providing answers to many complex problems boggling the world. The topics fanned across various fields involving Communication, Data Science, Ambient Intelligence, Networking, Computing, Security, and Privacy.