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Dirac operator

Known as: Harmonic spinor 
In mathematics and quantum mechanics, a Dirac operator is a differential operator that is a formal square root, or half-iterate, of a second-order… 
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Related topics

Related topics

8 relations
Dirac spectrumMomentum operatorProbability amplitudeQuantum graph

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2013
2013
Holographic fermions with running chemical potential and dipole coupling
2013
2013
Supersymmetric Chern–Simons vortex systems and extended supersymmetric quantum mechanics algebras
2011
2011
Ground state for nonlinear Schrondinger equation with sign-changing and vanishing potential
We are concerned with the least energy solution (i.e., ground state) for the following stationary nonlinear Schroumldinger… 
2010
2010
A-Harmonic Equations and the Dirac Operator
We show how -harmonic equations arise as components of Dirac systems. We generalize -harmonic equations to -Dirac equations… 
2008
2008
Index Theory and Non-Commutative Geometry II. Dirac Operators and Index Bundles
When the index bundle of a longitudinal Dirac type operator is transversely smooth, we define its Chern character in Haefliger… 
Highly Cited
2000
Highly Cited
2000
Rayleigh-Ritz approximation of the Dirac operator in atomic and molecular physics
Four-component ~spinor! solutions of the Dirac equation may be approximated by L-spinor expansions. We discuss their… 
Highly Cited
2000
Highly Cited
2000
Distribution of the k-th smallest Dirac operator eigenvalue
Based on the exact relationship to Random Matrix Theory, we derive the probability distribution of the k-th smallest Dirac… 
1999
1999
Northern California symplectic geometry seminar
Quantization of symplectic orbifolds and group actions by A. Cannas da Silva and V. Guillemin Symmetric spaces, Kahler geometry… 
1988
1988
The loop space S1 → R and supersymmetric quantum fields
Highly Cited
1987
Highly Cited
1987
Index of a family of Dirac operators on loop space
We use methods of constructive field theory to generalize index theory to an infinite-dimensional setting. We study a family of… 
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