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Entropic Fluctuations in Quantum Statistical Mechanics. An Introduction
Entropic Fluctuations Quantum Statistical Mechanics
2011/7/26
Abstract: These lecture notes provide an elementary introduction, within the framework of finite quantum systems, to recent developments in the theory of entropic fluctuations.
Quantum Statistical Mechanics, L-series and Anabelian Geometry
Arithmetic equivalence quantum statistical mechanics Bost-Connes system anabelian geometry
2010/11/29
It is known that two number fields with the same Dedekind zeta function are not necessarily
isomorphic. The zeta function of a number field can be interpreted as the partition function of
an associa...
On the Feynman path centroid density as a phase space distribution in quantum statistical mechanics
Feynman path centroid density a phase space distribution quantum statistical mechanics
2014/9/24
The phase space formulation of quantum statistical mechanics using the Feynman path centroid density offers an alternative perspective to the standard Wigner prescription for the classical-like evalua...
The formulation of quantum statistical mechanics based on the Feynman path centroid density. V. Quantum instantaneous normal mode theory of liquids
quantum statistical mechanics Feynman path centroid density Quantum instantaneous normal mode theory of liquids
2014/9/24
The concept of instantaneous normal modes in liquids is extended into the quantum regime using the Feynman path centroid perspective in quantum statistical mechanics. To accomplish this goal, the vari...
The formulation of quantum statistical mechanics based on the Feynman path centroid density. IV. Algorithms for centroid molecular dynamics
quantum statistical mechanics Feynman path centroid density Algorithms for centroid molecular dynamics
2014/9/24
Numerical algorithms are developed for the centroid molecular dynamics (centroid MD) method to calculate dynamical time correlation functions for general many-body quantum systems. Approaches based on...
The formulation of quantum statistical mechanics based on the Feynman path centroid density. III. Phase space formalism and analysis of centroid molecular dynamics
quantum statistical mechanics Feynman path centroid density Phase space formalist analysis of centroid molecular dynamics
2014/9/24
The formulation of quantum statistical mechanics based on the path centroid variable in Feynman path integration is generalized to a phase space perspective, thereby including the momentum as an indep...
The formulation of quantum statistical mechanics based on the Feynman path centroid density. II. Dynamical properties
quantum statistical mechanics Feynman path centroid density Dynamical properties
2014/9/24
The formulation of quantum dynamical time correlation functions is examined within the context of the path centroid variable in Feynman path integration. This study builds on the centroid-based approa...
The formulation of quantum statistical mechanics based on the Feynman path centroid density. I. Equilibrium properties
quantum statistical mechanics Feynman path centroid density Equilibrium properties
2014/9/24
A formulation of quantum statistical mechanics is discussed in which the Feynman path centroid density in Feynman path integration is recast as the central statistical distribution used to average equ...