The energy level spacing for two harmonic oscillators with golden mean ratio of frequencies

1990 ◽  
Vol 61 (3-4) ◽  
pp. 869-876 ◽  
Author(s):  
P. M. Bleher
2004 ◽  
Vol 18 (17n19) ◽  
pp. 2740-2744 ◽  
Author(s):  
SHIPING YANG ◽  
GUOYONG YUAN ◽  
ZHE LI ◽  
HONG CHANG ◽  
DE LIU

In this paper, the quantum system with two particles is analyzed and the energy level spacing statistics distribution and Δ3-statistic are given. The results show that hard quantum chaos appear in the system with a certain potential. Tunnelling effect develops quantum chaos.


1983 ◽  
Vol 121 (2-3) ◽  
pp. 91-95 ◽  
Author(s):  
C.B. Daskaloyannis ◽  
M.E. Grypeos ◽  
C.G. Koutroulos ◽  
S.E. Massen ◽  
D.S. Saloupis

1963 ◽  
Vol 41 ◽  
pp. 159-166 ◽  
Author(s):  
Peter B. Kahn
Keyword(s):  

2020 ◽  
Vol 9 ◽  
pp. 306
Author(s):  
B. A. Kotsos ◽  
M. E. Grypeos

The dependence of the harmonic oscillator (HO) energy level spacing Ηω on the particle number Ν is studied analytically for atomic clusters on the basis of their electronic densities, parametrizing Ekardt's results (for sodium clusters) by means of a Fermi distribution. An interesting feature of such an approach is that it leads, under the assumptions made, to "kinks", that is to "marked discontinuities in the slope" of Ηω at the closed shells. These discontinuities diminish as Ν increases.


2006 ◽  
Vol 99 (9) ◽  
pp. 096101 ◽  
Author(s):  
Y. D. Jang ◽  
H. Lee ◽  
D. Lee ◽  
J. S. Kim ◽  
J. Y. Leem ◽  
...  

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