Time-domain simulation of Schrödinger equation to determine the effective potential induced by an oscillating standing wave

2006 ◽  
Vol 100 (4) ◽  
pp. 044901
Author(s):  
Y.C. Neil Na ◽  
Yoshihisa Yamamoto
Keyword(s):  
Schrödinger Equation ◽  
Standing Wave ◽  
Time Domain ◽  
Effective Potential ◽  
Schrodinger Equation ◽  
Time Domain Simulation

THE FERMION-FERMION EFFECTIVE ACTION FOR THE THREE-DIMENSIONAL MASSIVE THIRRING MODEL

1994 ◽  
Vol 09 (18) ◽  
pp. 3143-3151 ◽  
Author(s):  
R.F. RIBEIRO ◽  
E.R. BEZERRA DE MELLO
Keyword(s):  
Schrödinger Equation ◽  
Effective Potential ◽  
Effective Action ◽  
Schrodinger Equation ◽  
Three Dimensional ◽  
Bound State ◽  
Thirring Model ◽  
Coupling Constant ◽  
Massive Thirring Model

In this paper a nonrelativistic fermion-fermion effective potential for a three-dimensional massive Thirring model is obtained in a 1/N expansion. We show, by analyzing the Schrödinger equation in the presence of this potential, that the system presents a fermion-fermion bound state for a positive value of the coupling constant g.

scholarly journals Dirac Equation in the Field of a Charged Cosmic String and in the Field of a Point Charge with Z > 137

1991 ◽  
Vol 44 (6) ◽  
pp. 585
Author(s):  
TJ Allen ◽  
LJ Tassie
Keyword(s):  
Dirac Equation ◽  
Schrödinger Equation ◽  
Internal Structure ◽  
Effective Potential ◽  
Cosmic String ◽  
Point Charge ◽  
Schrodinger Equation ◽  
Cylindrical Coordinates ◽  
Line Charge ◽  
Radial Dirac Equation

In both spherical and cylindrical coordinates, the radial Dirac equation can be written in the form of a Schrodinger equation with an effective potential. It is shown that the difficulties at r -+ 0 for the Dirac equation in the field of a point charge for Z > 137 are the same as those for the Schrodinger equation with a l/r2 potential. The effective potential is used to show that similar difficulties do not arise for the field of a line charge, so allowing the consideration of the motion of electrons in the field of a charged superconducting cosmic string without considering the internal structure of the string.

Non-radially symmetric solutions of nonlinear Schrödinger equation coupled with Maxwell equations

2002 ◽  
Vol 2 (2) ◽  
Author(s):  
Pietro d’Avenia
Keyword(s):  
Schrödinger Equation ◽  
Standing Wave ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Maxwell Equations ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Wave Solutions ◽  
Radially Symmetric Solutions

AbstractIn this paper we prove the existence of standing wave solutions of nonlinear Schrödinger equation coupled with Maxwell equations which are non-radially symmetric.

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