Add to ORKGA general analytical approach to the statistical description of quantum graph spectra based on the exact periodic orbit expansions of quantum levels is discussed. The exact and approximate expressions obtained in [5] for the probability distribution functions using the spectral hierarchy method are analyzed. In addition, the mechanism of appearance of the universal statistical properties of spectral fluctuations of quantum-chaotic systems is considered in terms of the semiclassical theory of periodic orbits
It might be anticipated that there is statistical universality in the long-time classical dynamics o...
Quantum graphs are ideally suited to studying the spectral statistics of chaotic systems. Depending ...
We study the statistical properties of the scattering matrix associated with generic quantum graphs....
A general analytical approach to the statistical description of quantum graph spectra is discussed. ...
The explicit solution to the spectral problem of quantum graphs found recently by Dabaghian and Blüm...
The explicit solution to the spectral problem of quantum graphs found recently in \cite{Anima}, is u...
The explicit solution to the spectral problem of quantum graphs is used to obtain the exact distribu...
Energy level statistics of quantized chaotic systems have been evaluated in the semiclassical limit ...
Quantum graphs were first introduced as a simple model for studying quantum mechanics in geometrical...
This book is designed as a concise introduction to the recent achievements on spectral analysis of g...
We present quantum graphs with remarkably regular spectral characteristics. We call them regular qua...
Quantum graphs provide a simple model of quantum mechanics in systems with complex geometry and can ...
We present an exact analytical solution of the spectral problem of quasi-one-dimensional scaling qua...
We present an exact analytical solution of the spectral problem of quasi-one-dimensional scaling qua...
It might be anticipated that there is statistical universality in the long-time classical dynamics o...
It might be anticipated that there is statistical universality in the long-time classical dynamics o...
Quantum graphs are ideally suited to studying the spectral statistics of chaotic systems. Depending ...
We study the statistical properties of the scattering matrix associated with generic quantum graphs....
A general analytical approach to the statistical description of quantum graph spectra is discussed. ...
The explicit solution to the spectral problem of quantum graphs found recently by Dabaghian and Blüm...
The explicit solution to the spectral problem of quantum graphs found recently in \cite{Anima}, is u...
The explicit solution to the spectral problem of quantum graphs is used to obtain the exact distribu...
Energy level statistics of quantized chaotic systems have been evaluated in the semiclassical limit ...
Quantum graphs were first introduced as a simple model for studying quantum mechanics in geometrical...
This book is designed as a concise introduction to the recent achievements on spectral analysis of g...
We present quantum graphs with remarkably regular spectral characteristics. We call them regular qua...
Quantum graphs provide a simple model of quantum mechanics in systems with complex geometry and can ...
We present an exact analytical solution of the spectral problem of quasi-one-dimensional scaling qua...
We present an exact analytical solution of the spectral problem of quasi-one-dimensional scaling qua...
It might be anticipated that there is statistical universality in the long-time classical dynamics o...
It might be anticipated that there is statistical universality in the long-time classical dynamics o...
Quantum graphs are ideally suited to studying the spectral statistics of chaotic systems. Depending ...
We study the statistical properties of the scattering matrix associated with generic quantum graphs....