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AbstractAbstract
[en] The solutions of the Dirac equation with minimal and non-minimal coupling terms are investigated by transforming the relativistic equation into a Schroedinger-like one. Earlier results are discussed in a unified framework and certain solutions of a large class of potentials are given. It is pointed out that techniques used in the analysis of quasi-exactly solvable potentials of non-relativistic quantum mechanics can be applied to relativistic problems as well. (author)
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Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/; Country of input: Argentina
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Journal Article
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Journal of Physics. A, Mathematical and General; ISSN 0305-4470;
; v. 29(11); p. 2827-2832

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AbstractAbstract
[en] Franz, in 1935, deduced systematically from the Dirac equation 10 tensorial equations, 5 with a mechanical interpretation, 5 with an electromagnetic interpretation, which are also consequences of Kemmer's formalism for spins 1 and 0; Durand, in 1944, operating similarly with the second order Dirac equation, obtained, 10 equations, 5 of which expressing the divergences of the Gordon type tensors. Of these equations, together with the tensors they imply, some are easily interpreted by reference to the classical theories, some other remain uniterpreted. Recently (1988) we proposed a theory of the coupling between Einstein's gravity field and the 5 Franz mechanical equations, yielding as a bonus the complete interpretation of the 5 Franz mechanical equations. This is an incitation to reexamine the 5 electromagnetic equations. We show here that two of these, together with one of the Durand equations, implying the same tensor, remain uninterpreted. This is proposed as a challenge to the reader's sagacity
[fr]
Franz, en 1935, a systematiquement deduit de l'equation de Dirac 10 equations tensorielles, 5 a interpretation mecanique, 5 a interpretation electromagnetique, qui sont aussi consequences du formalisme de Kemmer pour les spins 1 et 0; Durand, en 1944, a opere de meme sur l'equation du second ordre de Dirac, obtenant notamment 5 equations exprimant les divergences des tenseurs du type Gordon. Certaines de ces equations, et des tenseurs qu'elles impliquent, s'interpretent aisement par reference aux theories classiques; d'autres restent ininterpretees. Recemment (1988) nous avons propose une theorie du couplage entre le champ gravitationnel d'Einstein et les 5 equations mecaniques de Franz, qui a livre en prime l'interpretation complete de ces 5 equations mecaniques. Il y a la une incitation a reexaminer les 5 equations electromagnetiques. On montre ici que deux de ces equations, ainsi que l'une des equations de Durand, impliquant le meme tenseur restent ininterpretees. Ce challenge est propose a la sagacite du lecteurOriginal Title
Sur un tenseur encore ininterprete en theorie de Dirac
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AbstractAbstract
No abstract available
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Copyright (c) 2016 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
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Linhares, C.A.; Mignaco, J.A.
Centro Brasileiro de Pesquisas Fisicas (CBPF), Rio de Janeiro, RJ (Brazil)1990
Centro Brasileiro de Pesquisas Fisicas (CBPF), Rio de Janeiro, RJ (Brazil)1990
AbstractAbstract
[en] The Dirac equation in four dimension is studied describing fermions, both as 4 x 4 matrices and differential forms. It is discussed in both formalisms its properties under transformations of the group SU(4). (A.C.A.S.)
[pt]
Estuda-se a equacao de Dirac a quatro dimensoes descrevendo fermions tanto como matrizes 4 x 4 quanto na forma diferencial. Neste trabalho, discutem-se em ambos os formalismos, suas propriedades sob transformacoes do grupo SU(4). (A.C.A.S.)Primary Subject
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1990; 19 p
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Report
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AbstractAbstract
[en] Starting from the affinely parametrized supersymmetric Dirac particle model we derive a Grassmannian path integral expression for the propagator of the Dirac equation minimally coupled to an external electromagnetic field. We also obtain a purely 'bosonic' path integral representation of the propagator of the iterated minimally coupled Dirac equation. It appears that a Nicolai mapping exists, even in a formal sense, only in the case of a constant external field. (Author)
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1985; 17 p
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Report
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AbstractAbstract
[en] With an arbitrary electromagnetic field, the Dirac equation is thought of as a space-time deformation, hence, it becomes possible to find explicit solutions without perturbation theory
[fr]
Pour l'equation de Dirac, la presence d'un champ electromagnetique est interpretee geometriquement comme une deformation de l'espace-temps, d'ou la possibilite de solutions explicites sans la theorie des perturbationsOriginal Title
Une famille de solutions de l'equation de Dirac avec champ electromagnetique quelconque
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Journal Article
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Comptes Rendus des Seances de l'Academie des Sciences. Serie 1; v. 296(23); p. 1029-1032
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AbstractAbstract
[en] We prove, for small initial data, the existence and uniqueness of a global solution of a Dirac equation with cubic nonlinearity and zero mass
[fr]
On etablit, pour des donnees initiales petites un theoreme d'existence et unicite de solution globale pour une equation de Dirac avec non-linearite cubique et masse nulleOriginal Title
Sur l'existence d'une solution globale pour une equation de Dirac non lineaire avec masse nulle
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Journal Article
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Comptes Rendus de l'Academie des Sciences. Serie 1; ISSN 0764-4442;
; CODEN CASME; v. 305(11); p. 469-472

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[en] The solution to the Poisson partial differential equation in mathematical physics is obtained by application of Dirac bra-ket vector analysis. (Author)
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Journal Article
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Research Reports. Hanyang Research Institute of Industrial Sciences; CODEN RRHSD; v. 22 p. 225-227
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Davies, A.J.; Joshi, G.C.
11th AINSE nuclear physics conference, 3rd-5th February 1986, School of Physics - Laby Theatre, University of Melbourne1986
11th AINSE nuclear physics conference, 3rd-5th February 1986, School of Physics - Laby Theatre, University of Melbourne1986
AbstractAbstract
No abstract available
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Source
Australian Inst. of Nuclear Science and Engineering, Lucas Heights; 104 p; 1986; p. 29; 11. AINSE nuclear physics conference; Melbourne (Australia); 3-5 Feb 1986; Abstract only.
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Miscellaneous
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AbstractAbstract
[en] The Laplacian nuclear force, investigated in Bulgaria last 30 Years, is in splendid agreement with the experiment. Thus it pretends to be the real basis of the theory of the nuclear forces. The basic points and results of nucleo-dynamics based on the new force are remembered. The paper shows how to use only the W-component of the nuclear Dirac equation and gives the basic principles of the used computer program in the case of np-scattering. A table of the obtained results is applied. (author)
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64 refs., 1 tab., 1 fig.
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Journal Article
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Dokladi na BYaD; ISSN 1310-8727;
; v. 5(1); p. 201-207

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