Coherency Matrix Description for Electron

1986 ◽  
Vol 15 (1) ◽  
pp. 6-9
Author(s):  
J. Sethuraman
Keyword(s):  
2004 ◽  
Vol 69 (9) ◽  
Author(s):  
J. Kopu ◽  
M. Eschrig ◽  
J. C. Cuevas ◽  
M. Fogelström

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 359
Author(s):  
Hassan Ibrahim ◽  
Reza Sharafdini ◽  
Tamás Réti ◽  
Abolape Akwu

Let G be a connected (molecular) graph with the vertex set V(G)={v1,⋯,vn}, and let di and σi denote, respectively, the vertex degree and the transmission of vi, for 1≤i≤n. In this paper, we aim to provide a new matrix description of the celebrated Wiener index. In fact, we introduce the Wiener–Hosoya matrix of G, which is defined as the n×n matrix whose (i,j)-entry is equal to σi2di+σj2dj if vi and vj are adjacent and 0 otherwise. Some properties, including upper and lower bounds for the eigenvalues of the Wiener–Hosoya matrix are obtained and the extremal cases are described. Further, we introduce the energy of this matrix.


1998 ◽  
Vol 41 (5) ◽  
pp. 461-475
Author(s):  
Yingbo Zhang ◽  
Tiangang Lei ◽  
Raymundo Bautista
Keyword(s):  

2003 ◽  
Vol 17 (25) ◽  
pp. 4435-4446 ◽  
Author(s):  
X. G. WEN ◽  
A. ZEE

We discuss and review the basic physics that leads to superfluidity/superconductivity in certain quantum Hall states, in particular the so-called double-layered (mmm) state. In the K-matrix description of the quantum correlation in quantum Hall states, those states with det (K)=0 contain a special correlation that leads to superfluidity/superconductivity. We propose a four-terminal measurement to test the DC Josephson-like effect in interlayer tunneling, so that the issue of superfluidity/superconductivity in the (mmm) states can be settled experimentally.


2018 ◽  
Vol 77 ◽  
pp. 49-65 ◽  
Author(s):  
Sadegh Biabanifard ◽  
S. Mehdi Hosseini ◽  
Mohammad Biabanifard ◽  
Shahrouz Asadi ◽  
Mustapha C.E. Yagoub

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