Classical & Quantum Chaos by Predrag Cvitanovic' et alpdftitle

By Predrag Cvitanovic' et alpdftitle

Show description

Read or Download Classical & Quantum Chaos PDF

Similar quantum physics books

Quantum mechanics: an empiricist's view

After introducing the empiricist standpoint in philosophy of technological know-how, and the innovations and techniques of the semantic method of medical theories, van Fraassen discusses quantum concept in 3 phases. He first examines the query of no matter if and the way empirical phenomena require a non-classical concept, and how much idea they require.

Foundations of Quantum Mechanics I

This publication is the 1st quantity of a two-volume paintings at the Foundations of Quantum Mechanics, and is meant as a brand new version of the author's booklet Die Grundlagen der Quantenmechanik [37] which used to be released in 1954. during this two-volume paintings we are going to search to procure a stronger formula of the translation of quantum mechanics in keeping with experiments.

Quantum versus Chaos: Questions Emerging from Mesoscopic Cosmos

Quantum and chaos, key ideas in modern technological know-how, are incompatible through nature. This quantity offers an research into quantum shipping in mesoscopic or nanoscale structures that are classically chaotic and indicates the luck and failure of quantal, semiclassical, and random matrix theories in facing questions rising from the mesoscopic cosmos.

Additional info for Classical & Quantum Chaos

Example text

For times much longer than a typical “turnover” time, it makes sense to relax the notion of exact periodicity, and replace it by the notion of recurrence. A point is recurrent or nonwandering if for any open neighborhood M0 of x and any time tmin there exists a later time t, such that f t (x) ∈ M0 . 2) In other words, the trajectory of a non-wandering point reenters the neighborhood M0 infinitely often. We shall denote by Ω the non–wandering set of f , that is the union of all the non-wandering points of M.

4 All equilibrium points are fixed points. Show that a point of a vector field v where the velocity is zero is a fixed point of the dynamics f t . 5 Gradient systems.

The formalism should work for any average over any chaotic set which satisfies two conditions: 1. the weight associated with the observable under consideration is multiplicative along the trajectory, 2. the set is organized in such a way that the nearby points in the symbolic dynamics have nearby weights. 0, June 18 2003 References 27 transport coefficients and quantum eigenvalues. One of the surprises is that the quantum mechanics of classically chaotic systems is very much like the classical mechanics of chaotic systems; both are described by nearly the same zeta functions and cycle expansions, with the same dependence on the topology of the classical flow.

Download PDF sample

Rated 4.42 of 5 – based on 44 votes