Retarded Green's function for an electron in a parabolic quantum dot subject to a constant uniform magnetic field and an electric field of arbitrary time dependence and orientation

1999 ◽  
Vol 79 (1) ◽  
pp. 77-89 ◽  
Author(s):  
Vassilios Fessatidis ◽  
Norman J. M. Horing ◽  
Kashif Sabeeh
Keyword(s):  
Magnetic Field ◽  
Quantum Dot ◽  
Electric Field ◽  
Time Dependence ◽  
Green’S Function ◽  
Green's Function ◽  
Uniform Magnetic Field ◽  
Arbitrary Time ◽  
Arbitrary Time Dependence ◽  
Parabolic Quantum Dot

2D Saddle Potential Schrödinger Green's Function in the Presence of an Arbitrary Time-Dependent Electric Field

1997 ◽  
Vol 11 (26n27) ◽  
pp. 1193-1196 ◽  
Author(s):  
Norman J. M. Horing ◽  
Kashif Sabeeh
Keyword(s):  
Electric Field ◽  
Green’S Function ◽  
Green's Function ◽  
Equations Of Motion ◽  
Time Dependent ◽  
Arbitrary Time ◽  
Heisenberg Equations ◽  
Time Variables ◽  
Arbitrary Time Dependence ◽  
Heisenberg Equations Of Motion

We derive the retarded nonrelativistic Green's function for a Schrödinger electron confined to a plane and subject to a parabolic saddle potential and an electric field having arbitrary time dependence and orientation on the plane. This derivation is carried out using Heisenberg equations of motion for position and momentum operators, following an earlier analysis of Schwinger, to obtain the retarded Green's function in closed form, as an explicit function of position and time variables.

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