ALL libraries (COBIB.SI union bibliographic/catalogue database)
13.
Statistical properties of matrix elements in a Hamilton system between integrability and chaos
Prosen, Tomaž, 1970-
This paper concerns the statistical properties of matrix elements of Hermitianoperators in an eigenbasis of a typical bounded Hamiltonian, which can be classically either ergodic, or integrable, or ...somewhere in between (mixed dynamics). The various types of statistics are addressedČ the (one-)matrix element probability distribution, the correlations among different matrix elements and the so-called cross-correlations of matrix elements belonging to different operators. A sort of n-point correlation function among n matrix elements is defined and calculated (which can reduce to the generalized Feingold-Peres formula for the mean square magnitude of matrix elements in the special case of n = 2) and it is shown that in the semiclassical limit it tends to a microcanonical average over analog expressions involving classical observables. The semiclassical O(h) corrections yield interesting purely classical relations expressing microcanonical averages involving different time Poisson brackets as energy derivatives of microcanonical averages involving only ordinary products. In the classically ergodic case random matrix theory can be applied for modeling of all types of statistics, although the newly defined cross-statistics seem to be behaving nonuniversally at first sight.
It was not necessary to add the material to the shelf.
Bibliographic material was successfully added on shelf.
Adding bibliographical material on shelf was not successful.
Material is already on the shelf.
Permalink
URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year
Impact factor
Edition
Category
Classification
JCR
SNIP
JCR
SNIP
JCR
SNIP
JCR
SNIP
Select the library membership card:
DRS,
in which the journal is indexed
Database name
Field
Year
Links to authors' personal bibliographies
Links to information on researchers in the SICRIS system
Subject headings in COBISS General List of Subject Headings
Select pickup location
The material from the parent unit is free. If the material is delivered to the pickup location from another unit, the library may charge you for this service.
