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Liouville dynamics and the conservation of classical information
(American Physical Society, 2004-09)
The invariance of entropic distances under Liouville dynamics yields classical analogues of information-related, quantum mechanical impossible operations. A connection between classically forbidden operations and statistical ...
Dynamics in discrete phase spaces and time interval operators
(Elsevier B.V., 1999-03-01)
The von Neumann-Liouville time evolution equation is represented in a discrete quantum phase space. The mapped Liouville operator and the corresponding Wigner function are explicitly written for the problem of a magnetic ...
Dynamics in discrete phase spaces and time interval operators
(Elsevier B.V., 1999-03-01)
The von Neumann-Liouville time evolution equation is represented in a discrete quantum phase space. The mapped Liouville operator and the corresponding Wigner function are explicitly written for the problem of a magnetic ...
Dynamics in discrete phase spaces and time interval operators
(Elsevier B.V., 2014)
A liouville theorem for indefinite fractional diffusion equations and its application to existence of solutions
(American Institute of Mathematical Sciences, 2017-11)
In this work we obtain a Liouville theorem for positive, bounded solutions of the equation where (-δ)s stands for the fractional Laplacian with s 2 (0; 1), and the functions h and f are nondecreasing. The main feature is ...
Partial regularity for a Liouville system
(American Institute of Mathematical Sciences (AIMS), 2014)
Driven Liouville–von Neumann Equation for Quantum Transport and Multiple-Probe Green’s Functions
(American Chemical Society, 2019-04)
The so-called driven Liouville–von Neumann equation is a dynamical formulation to simulate a voltage bias across a molecular system and to model a time-dependent current in a grand-canonical framework. This approach ...
Classical analogue of the statistical operator
(De Gruyter, 2014-03)
We advance the notion of a classical density matrix, as a classical analogue of the quantum mechanical statistical operator, and investigate its main properties. In the case of composite systems a partial trace-like operation ...