Topic
Dirac spinor
About: Dirac spinor is a research topic. Over the lifetime, 2345 publications have been published within this topic receiving 42161 citations. The topic is also known as: Dirac representation.
Papers published on a yearly basis
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Papers
Book•
1 May 1997
TL;DR: The Dirac Equation as discussed by the authors is a wave equation for spin-0 and spin-1/2 particles, and it has been used for energy and spin control in external fields.
Abstract: 1. Relativistic Wave Equation for Spin-0 Particles: The Klein-Gordon Equation and Its Applications.- 2. A Wave Equation for Spin-1/2 Particles: The Dirac Equation.- 3. Lorentz Covariance of the Dirac Equation.- 4. Spinors Under Spatial Reflection.- 5. Bilinear Covariants of the Dirac Spinors.- 6. Another Way of Constructing Solutions of the Free Dirac Equation: Construction by Lorentz Transformations.- 7. Projection Operators for Energy and Spin.- 8. Wave Packets of Plane Dirac Waves.- 9. Dirac Particles in External Fields: Examples and Problems.- 10.The Two-Centre Dirac Equation.- 11. The Foldy-Wouthuysen Representation for Free Particles.- 12. The Hole Theory.- 13. Klein's Paradox.- 14. The Weyl Equation - The Neutrino.- 15. Wave Equations for Particles with Arbitrary Spins.- 16. Lorentz Invariance and Relativistic Symmetry Principles.
1,256 citations
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TL;DR: The Dirac oscillator as discussed by the authors is a harmonic oscillator with a very strong spin-orbit coupling term, which can be obtained in an elementary fashion, with the degeneracy of the latter being quite different from that of the ordinary oscillator.
Abstract: Dirac's free particle equation originated in an attempt to express linearly the relativistic quadratic relation between energy and momentum. The authors introduce a Dirac equation which, besides the momentum, is also linear in the coordinates. They call it the Dirac oscillator because in the nonrelativistic limit it becomes a harmonic oscillator with a very strong spin-orbit coupling term. The eigenstates and eigenvalues of the Dirac oscillator can be obtained in an elementary fashion, with the degeneracy of the latter being quite different from that of the ordinary oscillator. They briefly mention the symmetry Lie algebra responsible for this degeneracy and the generalisation of the problem to many-particle systems.
748 citations
TL;DR: Theorists identify two-dimensional crystal structures that could host Dirac electrons similar to those observed in graphene as discussed by the authors, and they use these structures to identify Dirac-like structures.
Abstract: Theorists identify two-dimensional crystal structures that could host Dirac electrons similar to those observed in graphene.
739 citations
Book•
1 Jun 1993
TL;DR: Algebraic theory of Dirac structures Nijenhuis operators and pairs of DirAC structures the complex of formal variational calculus local Hamiltonian operators local symplectic operators and evolution equations related to them as discussed by the authors.
Abstract: Algebraic theory of Dirac structures Nijenhuis operators and pairs of Dirac structures the complex of formal variational calculus local Hamiltonian operators local symplectic operators and evolution equations related to them.
678 citations
Book•
20 Aug 1993
TL;DR: The major goal of as discussed by the authors is to make the theory of elliptic boundary problems accessible to mathematicians and physicists working in global analysis and operator algebras, which is the main goal of this book.
Abstract: The major goal of this book is to make the theory of elliptic boundary problems accessible to mathematicians and physicists working in global analysis and operator algebras. The book is about operators of Dirac type on manifolds with boundary....what's?
559 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 13 |
| 2024 | 3 |
| 2023 | 23 |
| 2022 | 63 |
| 2021 | 15 |
| 2020 | 20 |