scholarly journals Comment on “Dynamics of nuclear fluid. VIII. Time-dependent Hartree-Fock approximation from a classical point of view”

2007 ◽  
Vol 76 (5) ◽  
Author(s):  
M. I. Krivoruchenko ◽  
B. V. Martemyanov ◽  
C. Fuchs
Keyword(s):  
Point Of View ◽  
Time Dependent ◽  
Hartree Fock ◽  
Classical Point

scholarly journals COULOMB GAP IN THE QUANTUM HALL INSULATOR

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1369-1372 ◽  
Author(s):  
MICHAEL BACKHAUS ◽  
BODO HUCKESTEIN
Keyword(s):  
Filling Factor ◽  
Particle Density ◽  
Quantum Hall ◽  
Correct Treatment ◽  
Coulomb Gap ◽  
Hartree Fock ◽  
Strong Disorder ◽  
Single Particle Density ◽  
Lowest Landau Level ◽  
Classical Point

We calculate numerically the spectrum of disordered electrons in the lowest Landau level at filling factor 1/5 using the self-consistent Hartree-Fock approximation for systems containing up to 400 flux quanta. Special attention is paid to the correct treatment of the q=0 component of the Coulomb interaction. For sufficiently strong disorder, the system is an insulator at this filling factor. We observe numerically a Coulomb gap in the single-particle density of states (DOS). The DOS agrees quantitatively with the predictions for classical point charges.

scholarly journals Theoretical and experimental comparative studies of nonlinear optical properties for selected melaminium compounds

2010 ◽  
Vol 8 (6) ◽  
pp. 1192-1202 ◽  
Author(s):  
Marek Drozd ◽  
Mariusz Marchewka
Keyword(s):  
Optical Properties ◽  
Acetic Acid ◽  
Nonlinear Optical ◽  
Time Dependent ◽  
X Ray ◽  
Hartree Fock ◽  
Optical Applications ◽  
Experimental Values ◽  
Nonlinear Optical Applications ◽  
Theoretical Results

AbstractThe bis(melaminium) sulphate dihydrate, 2,4,6-triamine-1,3,5-triazin-1,3-ium tartrate monohydrate, 2,4,6-triamine-1,3,5-triazin-1-ium hydrogenphthalate, 2,4,6-triamine-1,3,5-triazin-1-ium acetate acetic acid solvate monohydrate, 2,4,6-triamine-1,3,5-triazin-1-ium bis(selenate) trihydrate, melaminium diperchlorate hydrate, melaminium bis(trichloroacetate) monohydrate and melaminium bis(4-hydroxybenzenesulphonate) dihydrate were discovered recently as perspective materials for nonlinear optical applications. On the basis of X-ray structures for eight melaminium compounds the time dependent Hartree Fock (TDHF) method was used for calculation of the polarizability, and first and second hyperpolarizability. Detailed directional studies of calculated hyperpolarizability for all investigated melaminium compounds are shown. The theoretical results are compared with experimental values of β.

WIGNER MEASURES AND MOLECULAR PROPAGATION THROUGH GENERIC ENERGY LEVEL CROSSINGS

2003 ◽  
Vol 15 (10) ◽  
pp. 1285-1317 ◽  
Author(s):  
CLOTILDE FERMANIAN KAMMERER
Keyword(s):  
Energy Transfer ◽  
Normal Form ◽  
Energy Level ◽  
Point Of View ◽  
Time Dependent ◽  
Type B ◽  
Unified Framework ◽  
Level Crossings ◽  
Normal Form Theorem ◽  
Uniformly Bounded

We study the time-dependent Schrödinger equation with matrix-valued potential presenting a generic crossing of type B, I, J or K in Hagedorn's classification. We use two-scale Wigner measures for describing the Landau–Zener energy transfer which occurs at the crossing. In particular, in the case of multiplicity 2 eigenvalues, we calculate precisely the change of polarization at the crossing. Our method provides a unified framework in which codimension 2, 3 or 5 crossings can be discussed. We recover Hagedorn's result for wave packets, from Wigner measure point of view, and extend them to any data uniformly bounded in L2. The proof is based on a normal form theorem which reduces the problem to an operator-valued Landau–Zener formula.

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