scholarly journals Generalized seniority from random Hamiltonians

1999 ◽  
Vol 61 (1) ◽  
Author(s):  
C. W. Johnson ◽  
G. F. Bertsch ◽  
D. J. Dean ◽  
I. Talmi
Keyword(s):  
Random Hamiltonians

"Universality" of Gaussian orthogonal ensemble fluctuations: the two-body random ensemble and shell model spectra

1990 ◽  
Vol 68 (3) ◽  
pp. 301-312 ◽  
Author(s):  
Gaetan J. H. Laberge ◽  
Rizwan U. Haq
Keyword(s):  
Energy Level ◽  
Shell Model ◽  
Detailed Analysis ◽  
Close Agreement ◽  
Level Density ◽  
Nuclear Interactions ◽  
Gaussian Orthogonal Ensemble ◽  
Random Hamiltonians

Starting from an appropriate decomposition of the level density into an average and fluctuating part, we studied the energy level fluctuations of an ensemble defined by two-body random Hamiltonians. A detailed analysis of several spectrally averaged fluctuation measures shows close agreement with the predictions of the Gaussian orthogonal ensemble (GOE). This confirms earlier indications that, except for noninteracting particles, fluctuation measures are insensitive to the rank of the interaction. Further, analysis of spectra obtained from realistic nuclear interactions agrees well with the GOE indicating that specific properties of the Hamiltonian have little or no influence on fluctuations. These results, therefore, strengthen our belief in the "universality" of GOE fluctuations.

scholarly journals LOCALIZATION FOR ONE DIMENSIONAL LONG RANGE RANDOM HAMILTONIANS

1999 ◽  
Vol 11 (01) ◽  
pp. 103-135 ◽  
Author(s):  
VOJKAN JAKŠIĆ ◽  
STANISLAV MOLCHANOV
Keyword(s):  
Long Range ◽  
Spectral Properties ◽  
Schrödinger Operators ◽  
Pure Point ◽  
Random Schrödinger Operators ◽  
Schrodinger Operators ◽  
One Dimensional ◽  
Free Part ◽  
Random Hamiltonians

We study spectral properties of random Schrödinger operators hω=h0+vω(n) on l2(Z) whose free part h0 is long range. We prove that the spectrum of hω is pure point for typical ω whenever the off-diagonal terms of h0 decay as |i-j|-γ for some γ>8.

Level density for some partially random Hamiltonians

1970 ◽  
Vol 69 (2) ◽  
pp. 181-208 ◽  
Author(s):  
A. Gervois
Keyword(s):  
Level Density ◽  
Random Hamiltonians

REM Universality for Random Hamiltonians

2009 ◽  
pp. 45-84
Author(s):  
Gérard Ben Arous ◽  
Alexey Kuptsov
Keyword(s):  
Random Hamiltonians

scholarly journals On Partial Charge Transfer Processes in Multiparticle Systems on Graphs

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Victor Chulaevsky
Keyword(s):  
Charge Transfer ◽  
Particle Systems ◽  
Partial Charge ◽  
Partial Charge Transfer ◽  
Strongly Coupled ◽  
Transfer Processes ◽  
Random Hamiltonians ◽  
Multiparticle Systems ◽  
Particle Configuration ◽  
Number Of Particles

We assess the probability of resonances between sufficiently distant states of an N-particle disordered quantum system in a combinatorial graph Z. In the N-particle configuration space, there are arbitrarily distant pairs of configurations giving rise to pairs of local (random) Hamiltonians which are strongly coupled, so that the eigenvalue concentration (EVC) bounds are difficult to obtain. We extend to any number of particles the efficient EVC bounds, obtained earlier for the 2-particle systems.

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