How Long to Read Classical Nonintegrability, Quantum Chaos

By Andreas Knauf

How Long Does it Take to Read Classical Nonintegrability, Quantum Chaos?

It takes the average reader 1 hour and 42 minutes to read Classical Nonintegrability, Quantum Chaos by Andreas Knauf

Assuming a reading speed of 250 words per minute. Learn more

Description

Our DMV Seminar on 'Classical Nonintegrability, Quantum Chaos' intended to introduce students and beginning researchers to the techniques applied in nonin tegrable classical and quantum dynamics. Several of these lectures are collected in this volume. The basic phenomenon of nonlinear dynamics is mixing in phase space, lead ing to a positive dynamical entropy and a loss of information about the initial state. The nonlinear motion in phase space gives rise to a linear action on phase space functions which in the case of iterated maps is given by a so-called transfer operator. Good mixing rates lead to a spectral gap for this operator. Similar to the use made of the Riemann zeta function in the investigation of the prime numbers, dynamical zeta functions are now being applied in nonlinear dynamics. In Chapter 2 V. Baladi first introduces dynamical zeta functions and transfer operators, illustrating and motivating these notions with a simple one-dimensional dynamical system. Then she presents a commented list of useful references, helping the newcomer to enter smoothly into this fast-developing field of research. Chapter 3 on irregular scattering and Chapter 4 on quantum chaos by A. Knauf deal with solutions of the Hamilton and the Schr6dinger equation. Scatter ing by a potential force tends to be irregular if three or more scattering centres are present, and a typical phenomenon is the occurrence of a Cantor set of bounded orbits. The presence of this set influences those scattering orbits which come close.

How long is Classical Nonintegrability, Quantum Chaos?

Classical Nonintegrability, Quantum Chaos by Andreas Knauf is 102 pages long, and a total of 25,704 words.

This makes it 34% the length of the average book. It also has 31% more words than the average book.

How Long Does it Take to Read Classical Nonintegrability, Quantum Chaos Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 20 minutes to read Classical Nonintegrability, Quantum Chaos aloud.

What Reading Level is Classical Nonintegrability, Quantum Chaos?

Classical Nonintegrability, Quantum Chaos is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Classical Nonintegrability, Quantum Chaos?

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