Level-spacing distribution of a fractal matrix
نویسندگان
چکیده
منابع مشابه
Asymptotic level spacing distribution for a q-deformed random matrix ensemble
We obtain the asymptotic behaviour of the nearest-neighbour level spacing distribution for a q-deformed unitary random matrix ensemble. The q-deformed unitary random matrix ensemble introduced in [1] describes a transition in spectral statistics from the highly correlated Gaussian unitary ensemble [2] (GUE, q → 1) towards a completely uncorrelated Poisson ensemble (q → 0) as a function of q. Su...
متن کاملLevel-spacing distributions of the Gaussian unitary random matrix ensemble
Level-spacing distributions of the Gaussian Unitary Ensemble (GUE) of random matrix theory are expressed in terms of solutions of coupled differential equations. Series solutions up to order 50 in the level spacing are obtained, thus providing a very good description of the small-spacing part of the level-spacing distribution, which can be used to make comparisons with experimental or numerical...
متن کاملQuantum localization of chaotic eigenstates and the level spacing distribution.
The phenomenon of quantum localization in classically chaotic eigenstates is one of the main issues in quantum chaos (or wave chaos), and thus plays an important role in general quantum mechanics or even in general wave mechanics. In this work we propose two different localization measures characterizing the degree of quantum localization, and study their relation to another fundamental aspect ...
متن کاملOn the Level Spacing Distribution in Quantum Graphs *
We derive a formula for the level spacing probability distribution in quantum graphs. We apply it to simple examples and we discuss its relation with previous work and its possible application in more general cases. Moreover, we derive an exact and explicit formula for the level spacing distribution of integrable quantum graphs.
متن کاملRefined evaluation of the level-spacing distribution of symplectic ensembles: moments and implications.
To obtain a more precise value for the variance sigma2 of the joint probability distribution of a symplectic ensemble, we extend previous numerical evaluations of a power series. Our result sigma2 approximately 0.1041 shows that the excellent approximation using the analytically simple Wigner surmise fractionally overestimates this value. This behavior is important in establishing the trend of ...
متن کاملذخیره 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: 2001
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(01)00593-x