Results 11 to 20 of about 2,003,558 (249)
Nonlinear Dirac Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We construct nonlinear extensions of Dirac's relativistic electron equation that preserve its other desirable properties such as locality, separability, conservation of probability and Poincaré invariance.
Wei Khim Ng, Rajesh R. Parwani
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Nonlinear Dirac Equations, Monotonicity Formulas and Liouville Theorems. [PDF]
Commun Math Phys, 2019 Abstract We study the qualitative behavior of nonlinear Dirac equations arising in quantum field theory on complete Riemannian manifolds. In particular, we derive monotonicity formulas and Liouville theorems for solutions of these equations. Finally, we extend our analysis to Dirac-harmonic maps with curvature term.
Branding V.
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Nonlinear A-Dirac Equations [PDF]
Advances in Applied Clifford Algebras, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Craig A Nolder
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On Stability of Standing Waves of Nonlinear Dirac Equations [PDF]
Communications in Partial Differential Equations, 2012 We have corrected the hypotheses adding an extra symmetry to our class of ...
Nabile Boussaid, CUCCAGNA, SCIPIO
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An overview on linear and nonlinear Dirac equations
Discrete and Continuous Dynamical Systems, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maria J Esteban, Eric Sere
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Local and global well-posedness for nonlinear Dirac type equations [PDF]
, 2012 We investigate the local and global well-posedness of a variety of nonlinear Dirac type equations with null structure on R1+1. In particular, we prove global existence in L2 for a nonlinear Dirac equation known as the Thirring model. Local existence in
Candy, Timothy Lars
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Nonlinear Dirac equation for graphene [PDF]
Keldysh Institute Preprints, 2016 The possibility of introducing a nonlinear correction to the Dirac equation for graphene in order to adequately describe collective electronic phenomena is considered. In contrast to the other papers on this topic the interaction term includes the sum of the spinor components’ squares instead of their difference.
Andrey Andreevich Gladkikh +1 more
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Constraining Non-linear Dirac Equations with Neutrino Oscillations [PDF]
EPJ Web of Conferences, 2019 Considering the phenomenological studies of non-linear quantum models, we use an axiomatic approach to modify the Dirac Lagrangian. We apply constraints such as Hermiticity, locality, universality, etc to obtain various generic modified energy dispersion
Cheung James Asikin, Ng Wei Khim
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Numerical methods for nonlinear Dirac equation [PDF]
Journal of Computational Physics, 2013 This paper presents a review of the current state-of-the-art of numerical methods for nonlinear Dirac (NLD) equation. Several methods are extendedly proposed for the (1+1)-dimensional NLD equation with the scalar and vector self-interaction and analyzed in the way of the accuracy and the time reversibility as well as the conservation of the discrete ...
Jian Xu, Sihong Shao, Huazhong Tang
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On Remarkable Reductions of the Nonlinear Dirac Equation [PDF]
Journal of Nonlinear Mathematical Physics, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhdanov, Renat, Andreitsev, Andrij
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