Nonadiabatic transmission: Exact quantum-mechanical solution for a special case of the two-state exponential model

2006 ◽  
Vol 73 (2) ◽  
Author(s):  
V. I. Osherov ◽  
V. G. Ushakov
Keyword(s):  
Exponential Model ◽  
Quantum Mechanical ◽  
Exact Quantum ◽  
Quantum Mechanical Solution ◽  
Special Case

scholarly journals On dynamic mutual information for bivariate lifetimes

2015 ◽  
Vol 47 (4) ◽  
pp. 1157-1174 ◽  
Author(s):  
Jafar Ahmadi ◽  
Antonio Di Crescenzo ◽  
Maria Longobardi
Keyword(s):  
Mutual Information ◽  
Order Statistics ◽  
Random Sample ◽  
Exponential Model ◽  
Multicomponent Systems ◽  
Distribution Free ◽  
Lifetime Distributions ◽  
Different Ages ◽  
Special Case ◽  
Residual Lifetimes

We consider dynamic versions of the mutual information of lifetime distributions, with a focus on past lifetimes, residual lifetimes, and mixed lifetimes evaluated at different instants. This allows us to study multicomponent systems, by measuring the dependence in conditional lifetimes of two components having possibly different ages. We provide some bounds, and investigate the mutual information of residual lifetimes within the time-transformed exponential model (under both the assumptions of unbounded and truncated lifetimes). Moreover, with reference to the order statistics of a random sample, we evaluate explicitly the mutual information between the minimum and the maximum, conditional on inspection at different times, and show that it is distribution-free in a special case. Finally, we develop a copula-based approach aiming to express the dynamic mutual information for past and residual bivariate lifetimes in an alternative way.

Specific quantum mechanical solution of difference equation of hyperbolic type

2014 ◽  
Vol 19 (5) ◽  
pp. 1313-1328 ◽  
Author(s):  
Jovan P. Šetrajčić ◽  
Stevo K. Jaćimovski ◽  
Vjekoslav D. Sajfert ◽  
Igor J. Šetrajčić
Keyword(s):  
Difference Equation ◽  
Hyperbolic Type ◽  
Quantum Mechanical ◽  
Quantum Mechanical Solution ◽  
Specific Quantum

Tunneling and Percolation Behavior in Granular Metals

1990 ◽  
Vol 195 ◽  
Author(s):  
I. Balberg ◽  
N. Wagner ◽  
Y. Goldstein ◽  
S.Z. Weisz
Keyword(s):  
Computer Simulation ◽  
Critical Behavior ◽  
Quantum Mechanical ◽  
Electrical Noise ◽  
Quantum Mechanical Tunneling ◽  
Percolation Process ◽  
Percolation Behavior ◽  
Metallic Grains ◽  
First Time ◽  
Special Case

ABSTRACTThe nature of the percolation process in granular metals is examined for the first time by a computer simulation of a system of metallic grains embedded in an insulating matrix. Assuming that the intergrain conduction is due to quantum mechanical tunneling it is found that a percolation-like critical behavior of the conductivity is obtained, but that a percolation universal behavior will be found only in a very special case. In contrast, the behavior of the electrical noise does not deviate substantially from the universal one. Comparison of these results with recent experimental observations suggests that in the metallic range, both transport properties are controlled by the continuous metallic network rather than by intergrain tunnelin.. We propose that the metallic network resembles the previously studied system of ‘inverted random voids’.

Sign in / Sign up

Export Citation Format

Share Document