The nonrelativistic limit of the nonlinear Dirac equation

B. Najman

Annales de l'I.H.P. Analyse non linéaire (1992)

  • Volume: 9, Issue: 1, page 3-12
  • ISSN: 0294-1449

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Najman, B.. "The nonrelativistic limit of the nonlinear Dirac equation." Annales de l'I.H.P. Analyse non linéaire 9.1 (1992): 3-12. <http://eudml.org/doc/78271>.

@article{Najman1992,
author = {Najman, B.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {solution of a coupled system of nonlinear Schrödinger type equations},
language = {eng},
number = {1},
pages = {3-12},
publisher = {Gauthier-Villars},
title = {The nonrelativistic limit of the nonlinear Dirac equation},
url = {http://eudml.org/doc/78271},
volume = {9},
year = {1992},
}

TY - JOUR
AU - Najman, B.
TI - The nonrelativistic limit of the nonlinear Dirac equation
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1992
PB - Gauthier-Villars
VL - 9
IS - 1
SP - 3
EP - 12
LA - eng
KW - solution of a coupled system of nonlinear Schrödinger type equations
UR - http://eudml.org/doc/78271
ER -

References

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  1. [1] M. Balabane, T. Cazanave, A. Douady and F. Merle, Existence of Excited States for a Nonlinear Dirac Field, Commun. Math. Phys., Vol. 119, 1988, pp. 153-176. Zbl0696.35158MR968485
  2. [2] T. Cazenave and L. Vazquez, Existence of Localized Solutions for a Classical Nonlinear Dirac Field, Commun. Math. Phys., Vol. 105, 1986, pp. 35-47. Zbl0596.35117MR847126
  3. [3] T. Cazenave, Stationary States of Nonlinear Dirac Equation, In Semigroups, Theory and Applications, Vol. I, H. BREZIS, M. G. CRANDALL, F. KAPPEL Eds., Pitman Research Notes in Math. Sciences, pp. 36-42, Longman Scientific and Technical, Essex, 1986. Zbl0611.34003MR876926
  4. [4] H.O. Fattorini, Second Order Linear Equations in Banach Spaces, North Holland, 1985. Zbl0564.34063MR797071
  5. [5] B. Najman, The Nonrelativistic Limit of the Klein-Gordon and Dirac Equations, In Differential Equations with Applications in Biology, Physics and Engineering, J. GOLDSTEIN, F. KAPPEL, W. SCHAPPACHER Eds., Lect. Notes Pure Appl. Math. , No. 133, 1991, pp. 291-299, Marcel Dekker. Zbl0744.35038MR1171477
  6. [6] K. Veselić, Perturbation of Pseudoresolvents and Analyticity in 1/c in Relativistic Quantum Mechanics, Commun. Math. Phys., Vol. 22, 1971, pp. 27-43. Zbl0212.15701MR300579

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