Add to ORKGSpectral characteristics of integrated guantum systems and number theory problems, connected with them have been investigated in the paper. As a result refined rules of the quantization on surfaces of Liouville with uniform estimations for residual members have been obtained. The description of statistical properties of a residual member in the formula of Weil and in the related problem of the number geometry has been given. Formulae of a track have been investigated. The paper results may find their field of application in quantum chaos, theory of numbersAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio
The statistical properties of the quasienergy spectrum are used to measure the influence of quantum ...
A statistical model M is a family of probability distributions, characterised by a set of continuous...
We investigate spectral statistics in spatially extended, chaotic many-body quantum systems with a c...
Several aspects of classical and quantum mechanics applied to a class of strongly chaotic systems ar...
Abstract: The properties of mean values of random variable with values in the set of semig...
A general analytical approach to the statistical description of quantum graph spectra based on the e...
A general analytical approach to the statistical description of quantum graph spectra is discussed. ...
Abstract. The statistical properties of the spectrum of systems which have a chaotic classical limit...
Quantum chaos is associated with the phenomenon of avoided level crossings on a large scale which le...
Available from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Fed...
Dynamical systems and statistical mechanics have been developing in close interaction during the pas...
In this paper I offer an overview of the problem of energy level statistics in generic Hamiltonian s...
Abstract. One of the central observations of quantum chaology is that sta-tistical properties of qua...
We study a quantum-mechanical system, prepared, at t=0, in a model state, that subsequently decays i...
A procedure of analytic continuation of the resolvent of Liouville operators for quantum statistical...
The statistical properties of the quasienergy spectrum are used to measure the influence of quantum ...
A statistical model M is a family of probability distributions, characterised by a set of continuous...
We investigate spectral statistics in spatially extended, chaotic many-body quantum systems with a c...
Several aspects of classical and quantum mechanics applied to a class of strongly chaotic systems ar...
Abstract: The properties of mean values of random variable with values in the set of semig...
A general analytical approach to the statistical description of quantum graph spectra based on the e...
A general analytical approach to the statistical description of quantum graph spectra is discussed. ...
Abstract. The statistical properties of the spectrum of systems which have a chaotic classical limit...
Quantum chaos is associated with the phenomenon of avoided level crossings on a large scale which le...
Available from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Fed...
Dynamical systems and statistical mechanics have been developing in close interaction during the pas...
In this paper I offer an overview of the problem of energy level statistics in generic Hamiltonian s...
Abstract. One of the central observations of quantum chaology is that sta-tistical properties of qua...
We study a quantum-mechanical system, prepared, at t=0, in a model state, that subsequently decays i...
A procedure of analytic continuation of the resolvent of Liouville operators for quantum statistical...
The statistical properties of the quasienergy spectrum are used to measure the influence of quantum ...
A statistical model M is a family of probability distributions, characterised by a set of continuous...
We investigate spectral statistics in spatially extended, chaotic many-body quantum systems with a c...