scholarly journals Energy shift and conduction-to-valence band transition mediated by a time-dependent potential barrier in graphene

2015 ◽  
Vol 92 (12) ◽  
Author(s):  
Andrey Chaves ◽  
D. R. da Costa ◽  
G. O. de Sousa ◽  
J. M. Pereira ◽  
G. A. Farias
Keyword(s):  
Valence Band ◽  
Potential Barrier ◽  
Energy Shift ◽  
Time Dependent ◽  
Band Transition ◽  
Dependent Potential

scholarly journals Effective quantum tunneling from a semiclassical momentous approach

2020 ◽  
Vol 34 (29) ◽  
pp. 2050271
Author(s):  
L. Aragón-Muñoz ◽  
G. Chacón-Acosta ◽  
H. Hernandez-Hernandez
Keyword(s):  
Dynamical System ◽  
Quantum Mechanics ◽  
Potential Barrier ◽  
Quantum Tunneling ◽  
Time Dependent ◽  
Tunnel Effect ◽  
Expectation Values ◽  
Effective Time ◽  
Dependent Potential ◽  
Individual Particles

In this work, we study the quantum tunnel effect through a potential barrier within a semiclassical formulation of quantum mechanics based on expectation values of configuration variables and quantum dispersions as dynamical variables. The evolution of the system is given in terms of a dynamical system for which we are able to determine numerical effective trajectories for individual particles, similar to the Bohmian description of quantum mechanics. We obtain a complete description of the possible trajectories of the system, finding semiclassical reflected, tunneled and confined paths due to the appearance of an effective time-dependent potential.

Solving for Quantum Controls

2011 ◽  
Author(s):  
Katherine A. Kime
Keyword(s):  
Wave Packet ◽  
Potential Barrier ◽  
Wave Packets ◽  
Schroedinger Equation ◽  
Time Dependent ◽  
Single Peak ◽  
Double Peak ◽  
Quantum Wave ◽  
Dependent Potential

We study the use of a time-dependent potential barrier to control quantum wave packets, in a discretization of the Schroedinger equation. We consider computational issues in solving for a control which steers an initial single peak wave packet to a terminal double peak wave packet.

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