The Gauge Covariant Schrödinger Equation and the Aharonov—Bohm Effect

2004 ◽  
pp. 447-460
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Bohm Effect ◽  
Aharonov Bohm

On a unique continuation for Aharonov–Bohm magnetic Schrödinger equation

2017 ◽  
Vol 29 (6) ◽  
Author(s):  
Mohammed El Aïdi
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Unique Continuation ◽  
Compact Set ◽  
Two Dimensional ◽  
Aharonov Bohm

AbstractWe furnish a unique continuation for a suitable two-dimensional magnetic Schrödinger equation defined on the complement of a compact set.

INFLUENCE OF EXTERNAL FIELDS ON THE KILLINGBECK POTENTIAL: QUASI EXACT SOLUTION

2013 ◽  
Vol 27 (24) ◽  
pp. 1350176 ◽  
Author(s):  
M. HAMZAVI ◽  
S. M. IKHDAIR
Keyword(s):  
Wave Function ◽  
Schrödinger Equation ◽  
Particle Physics ◽  
Schrodinger Equation ◽  
Energy Levels ◽  
External Fields ◽  
Interacting Particles ◽  
Ansatz Method ◽  
Cornell Potential ◽  
Aharonov Bohm

The Killingbeck potential consists of oscillator potential plus Cornell potential, i.e. ar2+ br - c/r, that it has received a great deal of attention in particle physics. In this paper, we study the energy levels and wave function for arbitrary m-state in two-dimensional (2D) Schrödinger equation (SE) with a Killingbeck potential under the influence of strong external uniform magnetic and Aharonov–Bohm (AB) flux fields perpendicular to the plane where the interacting particles are confined. We use the wave function ansatz method to solve the radial problem of the Schrödinger equation with Killingbeck potential. We obtain the energy levels in the absence of external fields and also find the energy levels of the familiar Coulomb and harmonic oscillator potentials.

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