منابع مشابه
Chirikov standard map
(1959) Chirikov criterion (1969) Classical map: ¯ p = p + K sin x ¯ x = x + ¯ p (1979) Quantum map (kicked rotator): ¯ ψ = e −î p 2 /2 e −iK / cosˆx ψ (1959-2008) Hamiltonian classical / quantum chaos : H (ˆ p , ˆ x) = ˆ p 2 / 2 + K cosˆx m δ (t − m) [ ˆ p , ˆ x ] = −i (2001) Quantum computations (2008) Ongoing experiments with cold atoms and Bose-Einstein condensates
متن کاملBoris Chirikov - Sputnik of Chaos
In Russian, the word Sputnik means companion. But after the very first artificial satellite Sputnik, launched back in 1957, this word became also a metaphor for a pioneering, outstanding achievement. These meanings are appropriate for a portrait of Boris Chirikov, who was the founder of the physical theory of Hamiltonian chaos and made pioneering contributions to the theory of quantum chaos. In...
متن کاملPoincaré recurrences and Ulam method for the Chirikov standard map
We study numerically the statistics of Poincaré recurrences for the Chirikov standard map and the separatrix map at parameters with a critical golden invariant curve. The properties of recurrences are analyzed with the help of a generalized Ulam method. This method allows us to construct the corresponding Ulam matrix whose spectrum and eigenstates are analyzed by the powerful Arnoldi method. We...
متن کاملDiffusion and localization for the Chirikov typical map.
We consider the classical and quantum properties of the "Chirikov typical map," proposed by Boris Chirikov in 1969. This map is obtained from the well-known Chirikov standard map by introducing a finite-number T of random phase-shift angles. These angles induce a random behavior for small time-scales (tT) . We identi...
متن کاملThreshold Radius of Budker-chirikov Instability in Electron and Ion Beams with Strongly Different Radii
The Budker-Chirikov instability (BCI) in a two-beam electron-ion system is researched. The BCI is due to the interaction of the slow cyclotron wave of the electron beam with the fast betatron wave of the ion beam. The electron-ion system consists of a high current relativistic electron beam propagating co-axially with a nonrelativistic ion beam in a drift tube. The external radii of the electro...
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ژورنال
عنوان ژورنال: Scholarpedia
سال: 2009
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.8567