On the Feynman path centroid density as a phase space distribution in quantum statistical mechanics

Rigoberto Hernandez; Jianshu Cao; Gregory A. Voth

doi:10.1063/1.470588

On the Feynman path centroid density as a phase space distribution in quantum statistical mechanics

The Journal of Chemical Physics ◽

10.1063/1.470588 ◽

1995 ◽

Vol 103 (12) ◽

pp. 5018-5026 ◽

Cited By ~ 12

Author(s):

Rigoberto Hernandez ◽

Jianshu Cao ◽

Gregory A. Voth

Keyword(s):

Phase Space ◽

Statistical Mechanics ◽

Quantum Statistical Mechanics ◽

Space Distribution ◽

Feynman Path ◽

Phase Space Distribution ◽

Quantum Statistical

Download Full-text

The formulation of quantum statistical mechanics based on the Feynman path centroid density. III. Phase space formalism and analysis of centroid molecular dynamics

The Journal of Chemical Physics ◽

10.1063/1.468503 ◽

1994 ◽

Vol 101 (7) ◽

pp. 6157-6167 ◽

Cited By ~ 184

Author(s):

Jianshu Cao ◽

Gregory A. Voth

Keyword(s):

Molecular Dynamics ◽

Phase Space ◽

Statistical Mechanics ◽

Quantum Statistical Mechanics ◽

Feynman Path ◽

Space Formalism ◽

Quantum Statistical

Download Full-text

Quantum Statistical Mechanics in Classical Phase Space

10.1088/978-0-7503-4055-7 ◽

2021 ◽

Author(s):

Phil Attard

Keyword(s):

Phase Space ◽

Statistical Mechanics ◽

Quantum Statistical Mechanics ◽

Quantum Statistical ◽

Classical Phase Space

Download Full-text

Quantum statistical mechanics in the coherent-state phase-space representation

Physical Review A ◽

10.1103/physreva.37.3144 ◽

1988 ◽

Vol 37 (8) ◽

pp. 3144-3150 ◽

Cited By ~ 3

Author(s):

D. Otero ◽

A. Plastino ◽

A. N. Proto ◽

S. S. Misrahi

Keyword(s):

Phase Space ◽

Statistical Mechanics ◽

Coherent State ◽

Quantum Statistical Mechanics ◽

Space Representation ◽

Quantum Statistical ◽

Phase Space Representation

Download Full-text

The formulation of quantum statistical mechanics based on the Feynman path centroid density. II. Dynamical properties

The Journal of Chemical Physics ◽

10.1063/1.467176 ◽

1994 ◽

Vol 100 (7) ◽

pp. 5106-5117 ◽

Cited By ~ 346

Author(s):

Jianshu Cao ◽

Gregory A. Voth

Keyword(s):

Statistical Mechanics ◽

Quantum Statistical Mechanics ◽

Feynman Path ◽

Dynamical Properties ◽

Quantum Statistical

Download Full-text

On the well-posedness of equations for smoothed phase space distribution functions and irreversibility in classical statistical mechanics

Journal of Physics A General Physics ◽

10.1088/0305-4470/34/22/305 ◽

2001 ◽

Vol 34 (22) ◽

pp. 4641-4651 ◽

Cited By ~ 2

Author(s):

C B Muratov

Keyword(s):

Phase Space ◽

Statistical Mechanics ◽

Distribution Functions ◽

Space Distribution ◽

Well Posedness ◽

Phase Space Distribution ◽

Classical Statistical Mechanics

Download Full-text

Quantum statistical mechanics on stochastic phase space

International Journal of Theoretical Physics ◽

10.1007/bf01812227 ◽

1977 ◽

Vol 16 (9) ◽

pp. 689-706 ◽

Cited By ~ 10

Author(s):

S. Twareque Ali ◽

Eduard Prugovečki

Keyword(s):

Phase Space ◽

Statistical Mechanics ◽

Quantum Statistical Mechanics ◽

Quantum Statistical

Download Full-text

Quantum Statistical Mechanics in Phase Space and the Classical Limit

Maximum-Entropy and Bayesian Methods in Science and Engineering ◽

10.1007/978-94-010-9054-4_4 ◽

1988 ◽

pp. 51-82 ◽

Cited By ~ 1

Author(s):

Y. Tikochinsky ◽

D. Shalitin

Keyword(s):

Phase Space ◽

Statistical Mechanics ◽

Classical Limit ◽

Quantum Statistical Mechanics ◽

Quantum Statistical

Download Full-text

The formulation of quantum statistical mechanics based on the Feynman path centroid density. IV. Algorithms for centroid molecular dynamics

The Journal of Chemical Physics ◽

10.1063/1.468399 ◽

1994 ◽

Vol 101 (7) ◽

pp. 6168-6183 ◽

Cited By ~ 238

Author(s):

Jianshu Cao ◽

Gregory A. Voth

Keyword(s):

Molecular Dynamics ◽

Statistical Mechanics ◽

Quantum Statistical Mechanics ◽

Feynman Path ◽

Quantum Statistical

Download Full-text

The formulation of quantum statistical mechanics based on the Feynman path centroid density. V. Quantum instantaneous normal mode theory of liquids

The Journal of Chemical Physics ◽

10.1063/1.468400 ◽

1994 ◽

Vol 101 (7) ◽

pp. 6184-6192 ◽

Cited By ~ 89

Author(s):

Jianshu Cao ◽

Gregory A. Voth

Keyword(s):

Statistical Mechanics ◽

Normal Mode ◽

Quantum Statistical Mechanics ◽

Feynman Path ◽

Mode Theory ◽

Instantaneous Normal Mode ◽

Theory Of Liquids ◽

Normal Mode Theory ◽

Quantum Statistical

Download Full-text

The formulation of quantum statistical mechanics based on the Feynman path centroid density. I. Equilibrium properties

The Journal of Chemical Physics ◽

10.1063/1.467175 ◽

1994 ◽

Vol 100 (7) ◽

pp. 5093-5105 ◽

Cited By ~ 237

Author(s):

Jianshu Cao ◽

Gregory A. Voth

Keyword(s):

Statistical Mechanics ◽

Quantum Statistical Mechanics ◽

Feynman Path ◽

Quantum Statistical

Download Full-text