An Introduction to Quantum Chaos
by Mason A. Porter
Publisher: arXiv 2001
Number of pages: 57
Description:
Nonlinear dynamics ("chaos theory") and quantum mechanics are two of the scientific triumphs of the 20th century. The former lies at the heart of the modern interdisciplinary approach to science, whereas the latter has revolutionized physics. We give a brief review of the origin and fundamentals of both quantum mechanics and nonlinear dynamics.
Download or read it online for free here:
Download link
(2.6MB, PDF)
Similar books
Elementary Symbolic Dynamics and Chaos in Dissipative Systemsby Bai-Lin Hao - World Scientific
This is a monograph on chaos in dissipative systems written for those working in the physical sciences. Emphasis is on symbolic description of the dynamics and characteristics of the attractors, written from the view-point of practical applications.
(9556 views)
Discrete Dynamical Systemsby Arild Wikan - Bookboon
This book covers important topics like stability, hyperbolicity, bifurcation theory and chaos, topics which are essential to understand the behavior of nonlinear discrete dynamical systems. The theory is illuminated by examples and exercises.
(7742 views)
Variational Modelling: Energies, gradient flows, and large deviationsby Mark A. Peletier - arXiv
The notes describe the methodology called Variational Modelling, and focus on the application to the modelling of gradient-flow systems. I describe the methodology itself in great detail, and explain why this is a rational modelling route.
(8783 views)
Mathematical Principles of Dynamic Systems and the Foundations of Quantum Physicsby Eric Tesse - arXiv
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.
(10930 views)