Numerical test of Born–Oppenheimer approximation in chaotic systems

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Quantum Adiabatic Approximation in Chaotic Systems

Quantum systems with chaotic classical counterparts cannot be treated by perturbative techniques or any kind of adiabatic approximations. This is so, in spite of the quantum suppression of classical chaos. We explicitly calculate the adiabaticity parameter for the case of a Fermi Accelerator and show that the adiabatic expansion of the evolution operator is divergent. The relevance of this situ...

متن کامل

Numerical test for hyperbolicity of chaotic dynamics in time-delay systems.

We develop a numerical test of hyperbolicity of chaotic dynamics in time-delay systems. The test is based on the angle criterion and includes computation of angle distributions between expanding, contracting, and neutral manifolds of trajectories on the attractor. Three examples are tested. For two of them, previously predicted hyperbolicity is confirmed. The third one provides an example of a ...

متن کامل

Approximation of chaotic systems in terms of Markovian processes

We mimic the deterministic chaos appearing in low dimensional systems in terms of a product of suitable random matrices by considering Markov trials. From the high order Markovian processes it is possible to obtain a good approximation for the Lyapunov exponent and the decay rate of the correlation functions.

متن کامل

Higher order numerical approximation of switching systems

Higher order numerical schemes for affine nonlinear control systems developed elsewhere by the authors are adapted to switching systems with prescribed switching times. In addition the calculation of the required multiple switching control integrals is discussed. These schemes are particularly useful in situations involving very rapid switching. AMS Subject Classification: 65L05, 93B40

متن کامل

Numerical evidence of linear response violations in chaotic systems

It has been rigorously shown in [11] that the complex susceptibility for chaotic maps of the interval can have a pole in the upper complex plane. I develop a numerical procedure allowing to exhibit this pole from time series. I then apply the same analysis to the Hénon map and conjecture that the complex susceptibility has also a pole in the upper half complex plane. In many situations, physica...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physics Letters A

سال: 2009

ISSN: 0375-9601

DOI: 10.1016/j.physleta.2009.07.080