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

Jianshu Cao; Gregory A. Voth

doi:10.1063/1.467175

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

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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

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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

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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

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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

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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

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On N. N. Bogolyubov's works in classical and quantum statistical mechanics

Ukrainian Mathematical Journal ◽

10.1007/bf01060975 ◽

1993 ◽

Vol 45 (2) ◽

pp. 171-214

Author(s):

Yu. A. Mitropolskii ◽

D. Ya. Petrina

Keyword(s):

Statistical Mechanics ◽

Quantum Statistical Mechanics ◽

Quantum Statistical

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A classical Markov process in nonequilibrium quantum statistical mechanics

Journal of Mathematical Physics ◽

10.1063/1.523251 ◽

1977 ◽

Vol 18 (2) ◽

pp. 301 ◽

Cited By ~ 6

Author(s):

P. L. Torres

Keyword(s):

Markov Process ◽

Statistical Mechanics ◽

Quantum Statistical Mechanics ◽

Quantum Statistical ◽

Nonequilibrium Quantum Statistical Mechanics

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Perturbation-Theory Rules for Computing the Self-Energy Operator in Quantum Statistical Mechanics

Physical Review ◽

10.1103/physrev.131.2345 ◽

1963 ◽

Vol 131 (5) ◽

pp. 2345-2349 ◽

Cited By ~ 48

Author(s):

Gordon Baym ◽

Andrew M. Sessler

Keyword(s):

Perturbation Theory ◽

Statistical Mechanics ◽

Quantum Statistical Mechanics ◽

Energy Operator ◽

The Self ◽

Self Energy ◽

Quantum Statistical

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O. Bratteli e D. W. Robinson—Operator algebras and quantum statistical mechanics

Il Nuovo Cimento A ◽

10.1007/bf02784747 ◽

1982 ◽

Vol 67 (3) ◽

pp. 287-287

Author(s):

G. Velo

Keyword(s):

Statistical Mechanics ◽

Operator Algebras ◽

Quantum Statistical Mechanics ◽

Quantum Statistical

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Derek W. Robinson, The thermodynamic Pressure in Quantum Statistical Mechanics. (Lecture Notes in Physics, Vol. 9). V + 115 S. Berlin/Heidelberg/New York 1971. Springer-Verlag. Preis brosch. DM 14,—

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19730530113 ◽

1973 ◽

Vol 53 (1) ◽

pp. 65-65

Author(s):

G. Heber

Keyword(s):

New York ◽

Statistical Mechanics ◽

Quantum Statistical Mechanics ◽

Lecture Notes ◽

Quantum Statistical ◽

Thermodynamic Pressure

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