Numerical evaluation of frequency-moment sum rules for dynamical structure factors

1996 ◽  
Vol 53 (17) ◽  
pp. 11543-11549 ◽  
Author(s):  
A. Fledderjohann ◽  
M. Karbach ◽  
K.-H. Mütter
Keyword(s):  
Numerical Evaluation ◽  
Sum Rules ◽  
Dynamical Structure ◽  
Structure Factors

scholarly journals Model Pseudopotentials and Dynamical Properties of Simple Metals

1975 ◽  
Vol 28 (4) ◽  
pp. 403 ◽  
Author(s):  
SK Srivastava
Keyword(s):  
Constant Volume ◽  
Dynamical Model ◽  
Thermal Resistivity ◽  
Dynamical Structure ◽  
Structure Factors ◽  
Dynamical Properties ◽  
Experimental Values

The pseudopotential investigation of the dynamical properties of simple metals is discussed, and various model pseudopotentials are used to determine the thermal resistivity as a function of temperature at constant volume for the b.c.c. metals Li, Na, K, Rb, and Cs and the f.c.c. metals Cu, Ag, and Au. Krebs's (1965) lattice dynamical model is used to supply dynamical structure factors. The resulting theoretical thermal esistivities are compared with available experimental values.

scholarly journals Static and Dynamic Properties of a Few Spin 1/2 Interacting Fermions Trapped in a Harmonic Potential

Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1196
Author(s):  
Abel Rojo-Francàs ◽  
Artur Polls ◽  
Bruno Juliá-Díaz
Keyword(s):  
Sum Rules ◽  
Dynamic Properties ◽  
Interaction Strength ◽  
Dynamical Structure ◽  
Static Properties ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
One Dimensional ◽  
State Densities ◽  
Analytical Expressions

We provide a detailed study of the properties of a few interacting spin 1 / 2 fermions trapped in a one-dimensional harmonic oscillator potential. The interaction is assumed to be well represented by a contact delta potential. Numerical results obtained by means of direct diagonalization techniques are combined with analytical expressions for both the non-interacting and strongly interacting regime. The N = 2 case is used to benchmark our numerical techniques with the known exact solution of the problem. After a detailed description of the numerical methods, in a tutorial-like manner, we present the static properties of the system for N = 2 , 3 , 4 and 5 particles, e.g., low-energy spectrum, one-body density matrix, ground-state densities. Then, we consider dynamical properties of the system exploring first the excitation of the breathing mode, using the dynamical structure function and corresponding sum-rules, and then a sudden quench of the interaction strength.

Accurate dynamical structure factors fromab initiolattice dynamics: The case of crystalline silicon

2012 ◽  
Vol 34 (5) ◽  
pp. 346-354 ◽  
Author(s):  
Alessandro Erba ◽  
Matteo Ferrabone ◽  
Roberto Orlando ◽  
Roberto Dovesi
Keyword(s):  
Crystalline Silicon ◽  
Dynamical Structure ◽  
Structure Factors

Dynamical structure factors in binary liquids. II. Liquid Na-K alloy

1977 ◽  
Vol 10 (21) ◽  
pp. 4191-4196
Author(s):  
K N Swamy ◽  
P K Kahol ◽  
D K Chaturvedi ◽  
K N Pathak
Keyword(s):  
Dynamical Structure ◽  
Binary Liquids ◽  
Structure Factors
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