Mathematical Principles of Dynamic Systems and the Foundations of Quantum Physics
by Eric Tesse
Publisher: arXiv 2012
Number of pages: 88
Description:
This article will take up the question of what underlies the quantum formalism, whether it can be derived from simpler mathematical structures, and if so, what physical properties a system must possess in order for the formalism to hold. Of particular interest will be the question of determining the set of allowed experiments.
Download or read it online for free here:
Download link
(670KB, PDF)
Similar books
Dynamics, Ergodic Theory, and Geometryby Boris Hasselblatt - Cambridge University Press
This book contains articles in several areas of dynamical systems that have recently experienced substantial progress. Some of the major surveys focus on symplectic geometry; smooth rigidity; hyperbolic, parabolic, and symbolic dynamics; etc.
(15882 views)
Stability Analysis via Matrix Functions Methodby A. A. Martynyuk - Bookboon
The monograph presents a generalization of the well-known Lyapunov function method and related concepts to the matrix function case within the framework of systematic stability analysis of dynamical systems (differential equations).
(9216 views)
Computable Integrabilityby Alexey Shabat, Elena Kartashova - arXiv
A preliminary version of the textbook on integrable systems. Contents: General notions and ideas; Riccati equation; Factorization of linear operators; Commutativity of linear operators; Integrability of non-linear PDEs; Burgers-type equations.
(9876 views)
Valuations and Hyperbolicity in Dynamicsby Thomas Ward - University of East Anglia
These notes describe several situations in dynamics where the notion of valuations on rings provides a simple language in which to describe and exploit hyperbolicity. This approach goes a little beyond simply providing a convenient language.
(8969 views)