Lattice Weyl-Wigner formulation of exact many-body quantum-transport theory and applications to novel solid-state quantum-based devices

1990 ◽  
Vol 42 (15) ◽  
pp. 9429-9457 ◽  
Author(s):  
F. A. Buot ◽  
K. L. Jensen
Keyword(s):  
Solid State ◽  
Quantum Transport ◽  
Transport Theory ◽  
Many Body ◽  
Quantum Transport Theory

On quantum transport theory

Physica ◽  
1974 ◽  
Vol 73 (3) ◽  
pp. 593-599
Author(s):  
Ping-Kuo Lin ◽  
G. Thomas
Keyword(s):  
Quantum Transport ◽  
Transport Theory ◽  
Quantum Transport Theory

scholarly journals Limit theorems for some continuous-time random walks

2011 ◽  
Vol 43 (3) ◽  
pp. 782-813 ◽  
Author(s):  
M. Jara ◽  
T. Komorowski
Keyword(s):  
Markov Chain ◽  
Random Walk ◽  
Random Walks ◽  
Quantum Transport ◽  
Continuous Time ◽  
Limit Theorems ◽  
Transport Theory ◽  
Sufficient Conditions ◽  
Continuous Time Random Walks ◽  
Quantum Transport Theory

In this paper we consider the scaled limit of a continuous-time random walk (CTRW) based on a Markov chain {Xn,n≥ 0} and two observables, τ(∙) andV(∙), corresponding to the renewal times and jump sizes. Assuming that these observables belong to the domains of attraction of some stable laws, we give sufficient conditions on the chain that guarantee the existence of the scaled limits for CTRWs. An application of the results to a process that arises in quantum transport theory is provided. The results obtained in this paper generalize earlier results contained in Becker-Kern, Meerschaert and Scheffler (2004) and Meerschaert and Scheffler (2008), and the recent results of Henry and Straka (2011) and Jurlewicz, Kern, Meerschaert and Scheffler (2010), where {Xn,n≥ 0} is a sequence of independent and identically distributed random variables.

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