scholarly journals A limit of the confluent Heun equation and the Schrödinger equation for an inverted potential and for an electric dipole

2009 ◽  
Vol 50 (12) ◽  
pp. 123511 ◽  
Author(s):  
Léa Jaccoud El-Jaick ◽  
Bartolomeu D. B. Figueiredo
Keyword(s):  
Schrödinger Equation ◽  
Electric Dipole ◽  
Schrodinger Equation ◽  
Heun Equation ◽  
Confluent Heun Equation

scholarly journals BOUND STATES IN THE DYNAMICS OF A DIPOLE IN THE PRESENCE OF A CONICAL DEFECT

2005 ◽  
Vol 20 (26) ◽  
pp. 1991-1995 ◽  
Author(s):  
C. A. DE LIMA RIBEIRO ◽  
CLAUDIO FURTADO ◽  
FERNANDO MORAES
Keyword(s):  
Energy Spectrum ◽  
Schrödinger Equation ◽  
Electric Dipole ◽  
Quantum Dynamics ◽  
Schrodinger Equation ◽  
Bound States ◽  
Finite Radius ◽  
Conical Defect

In this work we investigate the quantum dynamics of an electric dipole in a (2+1)-dimensional conical spacetime. For specific conditions, the Schrödinger equation is solved and bound states are found with the energy spectrum and eigenfunctions determined. We find that the bound states spectrum extends from minus infinity to zero with a point of accumulation at zero. This unphysical result is fixed when a finite radius for the defect is introduced.

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