Comparison of higher-order level spacing ratios signatures localization-delocalization transitions in one-dimensional single-electron lattice systems

2020 ◽  
Vol 384 (15) ◽  
pp. 126298 ◽  
Author(s):  
Longyan Gong ◽  
Kaixin Ma
Keyword(s):  
Higher Order ◽  
Single Electron ◽  
Level Spacing ◽  
Lattice Systems ◽  
One Dimensional

A measure of localization properties of one-dimensional single electron lattice systems

2016 ◽  
Vol 380 (1-2) ◽  
pp. 59-64 ◽  
Author(s):  
Longyan Gong ◽  
Wenjia Li ◽  
Shengmei Zhao ◽  
Weiwen Cheng
Keyword(s):  
Single Electron ◽  
Lattice Systems ◽  
One Dimensional

scholarly journals Preserving the Shape of Functions by Applying Multidimensional Schoenberg-Type Operators

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1016
Author(s):  
Camelia Liliana Moldovan ◽  
Radu Păltănea
Keyword(s):  
Applied Sciences ◽  
Degree Of Approximation ◽  
Higher Order ◽  
Second Order ◽  
Dimensional Case ◽  
Moduli Of Continuity ◽  
One Dimensional ◽  
Multidimensional Generalization ◽  
The One

The paper presents a multidimensional generalization of the Schoenberg operators of higher order. The new operators are powerful tools that can be used for approximation processes in many fields of applied sciences. The construction of these operators uses a symmetry regarding the domain of definition. The degree of approximation by sequences of such operators is given in terms of the first and the second order moduli of continuity. Extending certain results obtained by Marsden in the one-dimensional case, the property of preservation of monotonicity and convexity is proved.

Transition from particlelike to wavelike behavior for an electron in one-dimensional nonuniform lattice systems

2016 ◽  
Vol 94 (3) ◽  
Author(s):  
Longyan Gong ◽  
Bingjie Xue ◽  
Wenjia Li ◽  
Weiwen Cheng ◽  
Shengmei Zhao
Keyword(s):  
Lattice Systems ◽  
One Dimensional
Sign in / Sign up

Export Citation Format

Share Document