On the Distribution of Matrix Elements for the Quantum Cat Map
ثبت نشده
چکیده
منابع مشابه
On the Distribution of Matrix Elements for the Quantum Cat Map
For many classically chaotic systems it is believed that the quantum wave functions become uniformly distributed, that is the matrix elements of smooth observables tend to the phase space average of the observable. In this paper we study the fluctuations of the matrix elements for the desymmetrized quantum cat map. We present a conjecture for the distribution of the normalized matrix elements, ...
متن کاملOn the Fluctuations of Matrix Elements of the Quantum Cat Map
We study the fluctuations of the diagonal matrix elements of the quantum cat map about their limit. We show that after suitable normalization, the fifth centered moment for the Hecke basis vanishes in the semiclassical limit, confirming in part a conjecture of Kurlberg and Rudnick. We also study sums of matrix elements lying in short windows. For observables with zero mean, the first moment of ...
متن کاملMatrix Elements for the Quantum Cat Map: Fluctuations in Short Windows
We study fluctuations of the matrix coefficients for the quantized cat map. We consider the sum of matrix coefficients corresponding to eigenstates whose eigenphases lie in a randomly chosen window, assuming that the length of the window shrinks with Planck’s constant. We show that if the length of the window is smaller than the square root of Planck’s constant, but larger than the separation b...
متن کاملشناسایی و پیجویی ناهنجاریهای زمینشیمیایی همراه با کانیسازی مس در چهارگوش 1:100000 نطنز (شمال اصفهان)، ایران
Natanz, 1:100000 geological map, is located in northeast Isfahan, in the Urumieh-Dokhtar structural zone. This sheet is a prospective area for Cu, Zn and Pb mineralization. Spatial distribution of geochemical anomalies for mineralization was identified; using pathfinder elements statistic method. The sample from catchment basin technique was applied on stream data. Then threshold elements were...
متن کاملQuantum modeling of light absorption in graphene based photo-transistors
Graphene based optical devices are highly recommended and interested for integrated optical circuits. As a main component of an optical link, a photodetector based on graphene nano-ribbons is proposed and studied. A quantum transport model is presented for simulation of a graphene nano-ribbon (GNR) -based photo-transistor based on non-equilibrium Green’s function method. In the proposed model a...
متن کامل