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Title: The modified equation for spinless particles and superalgebra

In this paper we consider modified wave equations for spinless particles in an external magnetic field. We consider 4-potentials which guarantee Lorentz' and Coulomb's conditions. The new variable for modified wave equation leads us to consider the associated Laguerre differential equation. We take advantage of the factorization method in Laguerre differential equation and solve the modified equation. In order to obtain the wave function, energy spectrum and its quantization, we will establish conditions for the orbital quantum number. We account such orbital quantum number and obtain the raising and lowering operators. If we want to have supersymmetry partners, we need to apply the shape invariance condition. This condition for the partner potential will help us find the limit of ρ as ρ=±√(l)
Authors:
;  [1] ;  [2]
  1. Department of Physics, Islamic Azad University, Ayatollah Amoli Branch, P.O. Box 678, Amol (Iran, Islamic Republic of)
  2. Young Researchers Club, Islamic Azad University, Ayatollah Amoli Branch, Amol (Iran, Islamic Republic of)
Publication Date:
OSTI Identifier:
22217997
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 9; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRA; ENERGY SPECTRA; FACTORIZATION; LORENTZ INVARIANCE; MAGNETIC FIELDS; POTENTIALS; QUANTIZATION; SHAPE; SUPERSYMMETRY; WAVE EQUATIONS; WAVE FUNCTIONS