Sanjay Hortikar

most citedCorrelations in Chaotic Eigenfunctions at Large Separation

59 citations · 90 across the 3 of their papers we have counts for

collaborators

Showing chao-dynShow all

3 papers · 1 filter

chao-dyn1999★ 6 cited

A Trace Formula for Products of Diagonal Matrix Elements in Chaotic Systems

Sanjay Hortikar, Mark Srednicki

We derive a trace formula for $\sum_{n} A_{nn} B_{nn} ... δ (E - E_{n})$ , where $A_{nn}$ is the diagonal matrix element of the operator $A$ in the energy basis of a chaotic system. The resul…

chao-dyn1997★ 25 cited

Random Matrix Elements and Eigenfunctions in Chaotic Systems

Sanjay Hortikar, Mark Srednicki

The expected root-mean-square value of a matrix element $A_{α β}$ in a classically chaotic system, where $A$ is a smooth, $ℏ$ -independent function of the coordinates and momenta…

chao-dyn1997★ 59 cited

Correlations in Chaotic Eigenfunctions at Large Separation

Sanjay Hortikar, Mark Srednicki

An energy eigenfunction in a classically chaotic system is known to have spatial correlations which (in the limit of small $ℏ$ ) are governed by a microcanonical distribution in…