Spherical time dependent Thomas-Fermi calculation of the dynamical evolution of hot and compressed nuclei

1985 ◽  
Vol 320 (4) ◽  
pp. 691-692 ◽  
Author(s):  
J. Nemeth ◽  
M. Barranco ◽  
C. Ng� ◽  
E. Tomasi
Keyword(s):  
Dynamical Evolution ◽  
Time Dependent ◽  
Thomas Fermi

scholarly journals Quantum Weak Invariants: Dynamical Evolution of Fluctuations and Correlations

Entropy ◽  
2020 ◽  
Vol 22 (11) ◽  
pp. 1219
Author(s):  
Zeyi Shi ◽  
Sumiyoshi Abe
Keyword(s):  
Time Evolution ◽  
Open Quantum System ◽  
Dynamical Evolution ◽  
Time Dependent ◽  
Von Neumann Entropy ◽  
Completely Positive Map ◽  
Expectation Values ◽  
Completely Positive ◽  
Temporal Asymmetry ◽  
Von Neumann

Weak invariants are time-dependent observables with conserved expectation values. Their fluctuations, however, do not remain constant in time. On the assumption that time evolution of the state of an open quantum system is given in terms of a completely positive map, the fluctuations monotonically grow even if the map is not unital, in contrast to the fact that monotonic increases of both the von Neumann entropy and Rényi entropy require the map to be unital. In this way, the weak invariants describe temporal asymmetry in a manner different from the entropies. A formula is presented for time evolution of the covariance matrix associated with the weak invariants in cases where the system density matrix obeys the Gorini–Kossakowski–Lindblad–Sudarshan equation.

Some remarks on the time-dependent Thomas-Fermi theory

1985 ◽  
Vol 322 (4) ◽  
pp. 655-664 ◽  
Author(s):  
M. Horbatsch ◽  
H. Kohl ◽  
R. M. Dreizler
Keyword(s):  
Time Dependent ◽  
Fermi Theory ◽  
Thomas Fermi

Time dependent Thomas Fermi approach to atomic collisions I.

1981 ◽  
Vol 300 (2-3) ◽  
pp. 119-127 ◽  
Author(s):  
M. Horbatsch ◽  
R. M. Dreizler
Keyword(s):  
Time Dependent ◽  
Atomic Collisions ◽  
Thomas Fermi

Many-Electron Problem in Terms of the Density: From Thomas–Fermi to Modern Density-Functional Theory

2003 ◽  
Vol 02 (02) ◽  
pp. 301-322 ◽  
Author(s):  
Manoj K. Harbola ◽  
Arup Banerjee
Keyword(s):  
Density Functional Theory ◽  
Perturbation Theory ◽  
Electron Density ◽  
Current Density ◽  
Density Functional ◽  
Electron System ◽  
Time Dependent ◽  
Functional Theory ◽  
Thomas Fermi ◽  
Alkali Metal Clusters

In this paper we focus on the use of electron density and current-density as basic variables in describing a many-electron system. We start with a discussion of the seminal Thomas–Fermi theory and its extension by Bloch for time-dependent hamiltonians. We then present modern density-functional theory (for both time-independent and time-dependent hamiltonians) and approximations involved in implementing it. Also discussed is perturbation theory in terms of electron density and its use for calculating various response properties and related quantities. In particular, van der Waals coefficient C6 is calculated using density and current density in time-dependent perturbation theory. Throughout the paper, results for alkali-metal clusters are presented to demonstrate the strength of density-based theories.

CONFIGURATION MIXING AND DISSIPATION FROM THE TIME-DEPENDENT PAIRING EQUATIONS

2012 ◽  
Vol 21 (05) ◽  
pp. 1250035 ◽  
Author(s):  
M. MIREA
Keyword(s):  
Dynamical Evolution ◽  
Time Dependent ◽  
Cluster Decay ◽  
Pair Breaking ◽  
Nuclear System ◽  
New Formalism ◽  
System A ◽  
Breaking Mechanism ◽  
Configuration Mixing

The time-dependent pairing equations are developed to include the Landau–Zener effect and a pair breaking mechanism. The new formalism provide information about the configuration mixing and the dissipation for a dynamical evolution of a nuclear system. A formula for a nonadiabatic cranking inertia is also deduced. Results concerning cluster decay and fission processes are presented.

Time dependent Thomas Fermi approach to atomic collisions II

1982 ◽  
Vol 308 (4) ◽  
pp. 329-338 ◽  
Author(s):  
M. Horbatsch ◽  
R. M. Dreizler
Keyword(s):  
Time Dependent ◽  
Atomic Collisions ◽  
Thomas Fermi

Trajectory method for time-dependent Thomas-Fermi equations and application to Ar atoms in laser fields

1988 ◽  
Vol 134 (1) ◽  
pp. 57-61 ◽  
Author(s):  
Peter Zimmerer ◽  
Norbert Grün ◽  
Werner Scheid
Keyword(s):  
Time Dependent ◽  
Laser Fields ◽  
Thomas Fermi ◽  
Trajectory Method

Time-Dependent Thomas-Fermi Approach for Electron Dynamics in Metal Clusters

1998 ◽  
Vol 80 (25) ◽  
pp. 5520-5523 ◽  
Author(s):  
A. Domps ◽  
P.-G. Reinhard ◽  
E. Suraud
Keyword(s):  
Metal Clusters ◽  
Time Dependent ◽  
Electron Dynamics ◽  
Thomas Fermi

scholarly journals The evolution to steady nonlinear pulsation in stellar models

1988 ◽  
Vol 123 ◽  
pp. 387-391
Author(s):  
G. Kovács ◽  
J. R. Buchler
Keyword(s):  
Fourier Analysis ◽  
Initial Conditions ◽  
Dynamical Evolution ◽  
Transient Behavior ◽  
Amplitude Equation ◽  
Time Dependent ◽  
Temporal Behavior ◽  
Rr Lyrae ◽  
Nonlinear Pulsation ◽  
Stellar Models

The numerically generated dynamical evolution of an RR Lyrae model from different initial conditions is subjected to a time-dependent Fourier analysis, which yields the temporal behavior of the amplitudes and phases of the few longlived transient modes in addition to the ultimate winner. It is shown that the amplitude equation formalism of Buchler and Goupil gives an almost perfect fit to the observed transient behavior of the amplitudes and phases of the excited modes. Prospects and applications are discussed.

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