12 citations · 12 across the 2 of their papers we have counts for
3 papers
nlin.CD2004
Superscars
Eugene Bogomolny, Charles Schmit
Wave functions of plane polygonal billiards are investigated. It is demonstrated that they have clear structures (superscars) related with families of classical periodic orbits whi…
nlin.CD2003★ 12 cited
Quantum and Arithmetical Chaos
Eugene Bogomolny
The lectures are centered around three selected topics of quantum chaos: the Selberg trace formula, the two-point spectral correlation functions of Riemann zeta function zeros, and…
nlin.CD2000
Spectral statistics and periodic orbits
E. Bogomolny
The main purpose of these lectures is to discuss briefly recent methods of calculation of statistical properties of quantum eigenvalues for chaotic systems based on semi-classical…