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Erratum: Nonlinear Dirac equation solitary waves in external fields [Phys. Rev. E 86, 046602 (2012)]

Journal Article · · Physical Review E
 [1];  [2];  [3];  [4];  [5]
  1. Univ. of Bayreuth (Germany). Inst. of Physics
  2. Univ. of Seville (Spain). Dept. of Applied Physics. IMUS
  3. Santa Fe Inst. (SFI), Santa Fe, NM (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division. Center for Nonlinear Studies
  4. Indian Inst. of Science Education and Research, Pune (India)
  5. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division. Center for Nonlinear Studies
+ Show Author Affiliations
In Sec. IV of our original paper, we assumed a particular conservation law Eq. (4.6), which was true in the absence of external potentials, to derive some particular potentials for which we obtained solutions to the nonlinear Dirac equation (NLDE). Because the conservation law of Eq. (4.6) for the component T11 of the energy-momentum tensor is not true in the presence of these external potentials, the solutions we found do not satisfy the NLDEs in the presence of these potentials. Thus all the equations from Eq. (4.6) through Eq. (4.44) are not correct, since the exact solutions that followed in that section presumed Eq. (4.6) was true. Also Eqs. (A3)–(A5) are a restatement of Eq. (4.6) and also are not correct. These latter equations are also not used in Sec. V and beyond. The rest of our original paper (starting with Sec. V) was not concerned with exact solutions, rather it was concerned with how the exact solitary-wave solutions to the NLDE in the absence of an external potential responded to being in the presence of various external potentials. This Erratum corrects this mistake.
Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Seville (Spain); Univ. of Bayreuth (Germany)
Sponsoring Organization:
USDOE; Univ. of Seville (Spain); Regional Government of Andalusia (Spain); Humboldt Foundation (Germany); Ministry of Economy, Industry and Competitiveness (MINECO) (Spain)
Contributing Organization:
Indian Inst. of Science Education and Research, Pune (India); Santa Fe Inst. (SFI), Santa Fe, NM (United States)
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1338759
Alternate ID(s):
OSTI ID: 1252380
Report Number(s):
LA-UR--16-20641
Journal Information:
Physical Review E, Journal Name: Physical Review E Journal Issue: 5 Vol. 93; ISSN 2470-0045
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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71 CLASSICAL AND QUANTUM MECHANICS
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