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Title: Bounded solutions of neutral fermions with a screened Coulomb potential

Abstract

The intrinsically relativistic problem of a fermion subject to a pseudoscalar screened Coulomb plus a uniform background potential in two-dimensional space-time is mapped into a Sturm-Liouville. This mapping gives rise to an effective Morse-like potential and exact bounded solutions are found. It is shown that the uniform background potential determinates the number of bound-state solutions. The behaviour of the eigenenergies as well as of the upper and lower components of the Dirac spinor corresponding to bounded solutions is discussed in detail and some unusual results are revealed. An apparent paradox concerning the uncertainty principle is solved by recurring to the concepts of effective mass and effective Compton wavelength.

Authors:
 [1]
  1. UNESP-Campus de Guaratingueta, Departamento de Fisica e Quimica, Caixa Postal 205, 12516-410 Guaratingueta SP (Brazil). E-mail: castro@feg.unesp.br
Publication Date:
OSTI Identifier:
20690202
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 320; Journal Issue: 1; Other Information: DOI: 10.1016/j.aop.2005.05.003; PII: S0003-4916(05)00088-6; Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUND STATE; COMPTON WAVELENGTH; COULOMB FIELD; DIRAC EQUATION; EFFECTIVE MASS; EXACT SOLUTIONS; FERMIONS; MAPPING; POTENTIALS; RELATIVISTIC RANGE; SPACE-TIME; TWO-DIMENSIONAL CALCULATIONS; UNCERTAINTY PRINCIPLE

Citation Formats

Castro, Antonio S. de. Bounded solutions of neutral fermions with a screened Coulomb potential. United States: N. p., 2005. Web. doi:10.1016/j.aop.2005.05.003.
Castro, Antonio S. de. Bounded solutions of neutral fermions with a screened Coulomb potential. United States. doi:10.1016/j.aop.2005.05.003.
Castro, Antonio S. de. Tue . "Bounded solutions of neutral fermions with a screened Coulomb potential". United States. doi:10.1016/j.aop.2005.05.003.
@article{osti_20690202,
title = {Bounded solutions of neutral fermions with a screened Coulomb potential},
author = {Castro, Antonio S. de},
abstractNote = {The intrinsically relativistic problem of a fermion subject to a pseudoscalar screened Coulomb plus a uniform background potential in two-dimensional space-time is mapped into a Sturm-Liouville. This mapping gives rise to an effective Morse-like potential and exact bounded solutions are found. It is shown that the uniform background potential determinates the number of bound-state solutions. The behaviour of the eigenenergies as well as of the upper and lower components of the Dirac spinor corresponding to bounded solutions is discussed in detail and some unusual results are revealed. An apparent paradox concerning the uncertainty principle is solved by recurring to the concepts of effective mass and effective Compton wavelength.},
doi = {10.1016/j.aop.2005.05.003},
journal = {Annals of Physics (New York)},
number = 1,
volume = 320,
place = {United States},
year = {Tue Nov 01 00:00:00 EST 2005},
month = {Tue Nov 01 00:00:00 EST 2005}
}