Quantum theory of correlation functions for liquid metals and normal liquids in the zero sound wave range

Physica ◽  
1971 ◽  
Vol 51 (3) ◽  
pp. 333-350 ◽  
Author(s):  
H. Takahashi
Keyword(s):  
Quantum Theory ◽  
Sound Wave ◽  
Correlation Functions ◽  
Liquid Metals ◽  
Zero Sound ◽  
Wave Range

scholarly journals On quantum theory in terms of white noise

1977 ◽  
Vol 68 ◽  
pp. 21-34 ◽  
Author(s):  
T. Hida ◽  
L. Streit
Keyword(s):  
Quantum Theory ◽  
Probability Measure ◽  
Heat Equation ◽  
Correlation Functions ◽  
Time Parameter ◽  
Imaginary Time ◽  
Dynamical Models ◽  
Quantum Dynamical ◽  
Reverse Transition ◽  
Generalized Heat Equation

It has often been pointed out that a much more manageable structure is obtained from quantum theory if the time parameter t is chosen imaginary instead of real. Under a replacement of t by i·t the Schrödinger equation turns into a generalized heat equation, time ordered correlation functions transform into the moments of a probability measure, etc. More recently this observation has become extremely important for the construction of quantum dynamical models, where criteria were developed by E. Nelson, by K. Osterwalder and R. Schrader and others [8] which would permit the reverse transition to real time after one has constructed an imaginary time (“Euclidean”) model.

Triplet correlation functions in liquid metals

1993 ◽  
Vol 156-158 ◽  
pp. 107-111 ◽  
Author(s):  
Bernhard Bildstein ◽  
Gerhard Kahl
Keyword(s):  
Correlation Functions ◽  
Liquid Metals ◽  
Triplet Correlation

Zero-sound-like modes in simple liquid metals

1993 ◽  
Vol 47 (4) ◽  
pp. 2575-2580 ◽  
Author(s):  
Chr. Morkel ◽  
T. Bodensteiner ◽  
H. Gemperlein
Keyword(s):  
Liquid Metals ◽  
Simple Liquid ◽  
Zero Sound

Entropy of liquid metals

1991 ◽  
Vol 433 (1889) ◽  
pp. 615-630 ◽  
Keyword(s):  
Correlation Functions ◽  
Free Electron ◽  
Liquid Metals ◽  
Pair Correlation ◽  
Higher Order ◽  
Potential Well ◽  
Extensive Analysis ◽  
Correlation Entropy ◽  
Complex Liquid ◽  
Universal Behaviour

An extensive analysis of the entropy is reported for 22 nearly free electron metals. The pair correlation entropy is computed from measured pair correlation functions, and the magnitude and temperature dependence of this entropy contribution shows approximately universal behaviour for most liquid metals. The higher order correlation entropy is zero for the simple metals, but is non-zero for several complex liquid metals, including Hg, Ga and Sn. The results are interpreted in terms of the motion of ions in a liquid, in which each ion is approximately trapped in the potential well of its neighbours, and where the presence of higher-order correlation entropy implies the existence of an n -ion interaction, for n ≥ 3.

scholarly journals Effective Pair Interactions and Structure in Liquid Noble Metals within Wills-Harrison and Bretonnet-Silbert Models

Metals ◽  
2021 ◽  
Vol 11 (7) ◽  
pp. 1115
Author(s):  
Nikolay Dubinin ◽  
Roman Ryltsev
Keyword(s):  
Correlation Functions ◽  
Noble Metals ◽  
Liquid Metals ◽  
Pair Correlation ◽  
Pure Liquid ◽  
Pair Correlation Functions ◽  
Pair Potentials ◽  
Velocity Autocorrelation ◽  
Effective Pair ◽  
Pair Interactions

Recently, for calculating the effective pair interactions in liquid transition metals, we have developed an approach which includes the Wills-Harrison and Bretonnet-Silbert models as limit cases. Here, we apply this approach to noble liquid metals. The dependencies of pair potentials and corresponding MD-simulated pair correlation functions in pure liquid Cu, Ag and Au on the portion of the non-diagonal (with respect to the magnet quantum number) d-d-electron couplings in the metal under consideration are studied. The model provides a good agreement with experimental and ab initio data for pair correlation functions, structure factors and velocity autocorrelation functions.

Sign in / Sign up

Export Citation Format

Share Document