Add to ORKGWe discuss the condition for the validity of equilibrium quantum statistical mechanics in the light of recent developments in the understanding of classical and quantum chaotic motion. In particular, the ergodicity parameter is shown to provide the conditions under which quantum statistical distributions can be derived from the quantum dynamics of a classical ergodic Hamiltonian system
The traditional use of ergodic theory in the foundations of equilibrium statistical mechanics is tha...
A probability distribution encodes all the statistics of its corresponding random variable, hence it...
Quantum Ergodicity aims at understanding the eigenstates of quantum mechanical systems admitting cha...
The quantum ergordic theorem for a large class of quantum systems was proved by von Neumann [Z. Phys...
This paper is concerned with the ergodic subspaces of the state spaces of isolated quantum systems. ...
The capabilities of a new approach towards the foundations of Statistical Mechanics are explored. Th...
By a pertubation technique adapted to the actual properties of gases and solids (and possibly also o...
It is well known that ergodic theory can be used to formally prove a form of relaxation to microcano...
Investigation on foundational aspects of quantum statistical mechanics recently entered a renaissanc...
In this work we revisit the problem of equilibration in isolated many-body interacting quantum syste...
Ergodic theory provides a rigorous mathematical description of chaos in classical dynamical systems,...
The traditional use of ergodic theory in the foundations of equilibrium statistical mechanics is tha...
Ergodic theory provides a rigorous mathematical description of classical dynamical systems including...
Quantum Ergodicity aims at understanding the eigenstates of quantum mechanical systems admitting cha...
Quantum mechanics is essentially a statistical theory. Classical mechanics, however, is usually not ...
The traditional use of ergodic theory in the foundations of equilibrium statistical mechanics is tha...
A probability distribution encodes all the statistics of its corresponding random variable, hence it...
Quantum Ergodicity aims at understanding the eigenstates of quantum mechanical systems admitting cha...
The quantum ergordic theorem for a large class of quantum systems was proved by von Neumann [Z. Phys...
This paper is concerned with the ergodic subspaces of the state spaces of isolated quantum systems. ...
The capabilities of a new approach towards the foundations of Statistical Mechanics are explored. Th...
By a pertubation technique adapted to the actual properties of gases and solids (and possibly also o...
It is well known that ergodic theory can be used to formally prove a form of relaxation to microcano...
Investigation on foundational aspects of quantum statistical mechanics recently entered a renaissanc...
In this work we revisit the problem of equilibration in isolated many-body interacting quantum syste...
Ergodic theory provides a rigorous mathematical description of chaos in classical dynamical systems,...
The traditional use of ergodic theory in the foundations of equilibrium statistical mechanics is tha...
Ergodic theory provides a rigorous mathematical description of classical dynamical systems including...
Quantum Ergodicity aims at understanding the eigenstates of quantum mechanical systems admitting cha...
Quantum mechanics is essentially a statistical theory. Classical mechanics, however, is usually not ...
The traditional use of ergodic theory in the foundations of equilibrium statistical mechanics is tha...
A probability distribution encodes all the statistics of its corresponding random variable, hence it...
Quantum Ergodicity aims at understanding the eigenstates of quantum mechanical systems admitting cha...