Share

Quantum and Stochastic Mathematical Physics

2023-04-02 Mathematics
Download Quantum and Stochastic Mathematical Physics PDF Online Free

Author :
Release : 2023-04-02
Genre : Mathematics
Kind : eBook
Book Rating : 311/5 ( reviews)

GET EBOOK


Book Synopsis Quantum and Stochastic Mathematical Physics by : Astrid Hilbert

Download or read book Quantum and Stochastic Mathematical Physics written by Astrid Hilbert. This book was released on 2023-04-02. Available in PDF, EPUB and Kindle. Book excerpt: Sergio Albeverio gave important contributions to many fields ranging from Physics to Mathematics, while creating new research areas from their interplay. Some of them are presented in this Volume that grew out of the Random Transformations and Invariance in Stochastic Dynamics Workshop held in Verona in 2019. To understand the theory of thermo- and fluid-dynamics, statistical mechanics, quantum mechanics and quantum field theory, Albeverio and his collaborators developed stochastic theories having strong interplays with operator theory and functional analysis. His contribution to the theory of (non Gaussian)-SPDEs, the related theory of (pseudo-)differential operators, and ergodic theory had several impacts to solve problems related, among other topics, to thermo- and fluid dynamics. His scientific works in the theory of interacting particles and its extension to configuration spaces lead, e.g., to the solution of open problems in statistical mechanics and quantum field theory. Together with Raphael Hoegh Krohn he introduced the theory of infinite dimensional Dirichlet forms, which nowadays is used in many different contexts, and new methods in the theory of Feynman path integration. He did not fear to further develop different methods in Mathematics, like, e.g., the theory of non-standard analysis and p-adic numbers.

Stochastic Numerics for Mathematical Physics

2021-12-03 Computers
Download Stochastic Numerics for Mathematical Physics PDF Online Free

Author :
Release : 2021-12-03
Genre : Computers
Kind : eBook
Book Rating : 408/5 ( reviews)

GET EBOOK


Book Synopsis Stochastic Numerics for Mathematical Physics by : Grigori N. Milstein

Download or read book Stochastic Numerics for Mathematical Physics written by Grigori N. Milstein. This book was released on 2021-12-03. Available in PDF, EPUB and Kindle. Book excerpt: This book is a substantially revised and expanded edition reflecting major developments in stochastic numerics since the first edition was published in 2004. The new topics, in particular, include mean-square and weak approximations in the case of nonglobally Lipschitz coefficients of Stochastic Differential Equations (SDEs) including the concept of rejecting trajectories; conditional probabilistic representations and their application to practical variance reduction using regression methods; multi-level Monte Carlo method; computing ergodic limits and additional classes of geometric integrators used in molecular dynamics; numerical methods for FBSDEs; approximation of parabolic SPDEs and nonlinear filtering problem based on the method of characteristics. SDEs have many applications in the natural sciences and in finance. Besides, the employment of probabilistic representations together with the Monte Carlo technique allows us to reduce the solution of multi-dimensional problems for partial differential equations to the integration of stochastic equations. This approach leads to powerful computational mathematics that is presented in the treatise. Many special schemes for SDEs are presented. In the second part of the book numerical methods for solving complicated problems for partial differential equations occurring in practical applications, both linear and nonlinear, are constructed. All the methods are presented with proofs and hence founded on rigorous reasoning, thus giving the book textbook potential. An overwhelming majority of the methods are accompanied by the corresponding numerical algorithms which are ready for implementation in practice. The book addresses researchers and graduate students in numerical analysis, applied probability, physics, chemistry, and engineering as well as mathematical biology and financial mathematics.

Stochastic Processes in Quantum Physics

2012-12-06 Mathematics
Download Stochastic Processes in Quantum Physics PDF Online Free

Author :
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 838/5 ( reviews)

GET EBOOK


Book Synopsis Stochastic Processes in Quantum Physics by : Masao Nagasawa

Download or read book Stochastic Processes in Quantum Physics written by Masao Nagasawa. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "The text is almost self-contained and requires only an elementary knowledge of probability theory at the graduate level. The book under review is recommended to mathematicians, physicists and graduate students interested in mathematical physics and stochastic processes. Furthermore, some selected chapters can be used as sub-textbooks for advanced courses on stochastic processes, quantum theory and quantum chemistry." ZAA

Quantum and Stochastic Mathematical Physics

2023
Download Quantum and Stochastic Mathematical Physics PDF Online Free

Author :
Release : 2023
Genre :
Kind : eBook
Book Rating : 327/5 ( reviews)

GET EBOOK


Book Synopsis Quantum and Stochastic Mathematical Physics by : Astrid Hilbert

Download or read book Quantum and Stochastic Mathematical Physics written by Astrid Hilbert. This book was released on 2023. Available in PDF, EPUB and Kindle. Book excerpt: Sergio Albeverio gave important contributions to many fields ranging from Physics to Mathematics, while creating new research areas from their interplay. Some of them are presented in this Volume that grew out of the Random Transformations and Invariance in Stochastic Dynamics Workshop held in Verona in 2019. To understand the theory of thermo- and fluid-dynamics, statistical mechanics, quantum mechanics and quantum field theory, Albeverio and his collaborators developed stochastic theories having strong interplays with operator theory and functional analysis. His contribution to the theory of (non Gaussian)-SPDEs, the related theory of (pseudo-)differential operators, and ergodic theory had several impacts to solve problems related, among other topics, to thermo- and fluid dynamics. His scientific works in the theory of interacting particles and its extension to configuration spaces lead, e.g., to the solution of open problems in statistical mechanics and quantum field theory. Together with Raphael Hoegh Krohn he introduced the theory of infinite dimensional Dirichlet forms, which nowadays is used in many different contexts, and new methods in the theory of Feynman path integration. He did not fear to further develop different methods in Mathematics, like, e.g., the theory of non-standard analysis and p-adic numbers.

Quantum Theory and Its Stochastic Limit

2013-03-14 Science
Download Quantum Theory and Its Stochastic Limit PDF Online Free

Author :
Release : 2013-03-14
Genre : Science
Kind : eBook
Book Rating : 295/5 ( reviews)

GET EBOOK


Book Synopsis Quantum Theory and Its Stochastic Limit by : Luigi Accardi

Download or read book Quantum Theory and Its Stochastic Limit written by Luigi Accardi. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: Well suited as a textbook in the emerging field of stochastic limit, which is a new mathematical technique developed for solving nonlinear problems in quantum theory.

You may also like...