In mathematics, a Dirac spectrum, named after Paul Dirac, is the spectrum of eigenvalues of a Dirac operator on a Riemannian manifold with a spin structure. The isospectral problem for the Dirac spectrum asks whether two Riemannian spin manifolds have identical spectra. The Dirac spectrum depends on the spin structure in the sense that there exists a Riemannian manifold with two different spin structures that have different Dirac spectra.[1]
YouTube Encyclopedic
-
1/3Views:3 415 27524 7382 011
-
Quantum Theory - Full Documentary HD
-
Mod-01 Lec-03 Dirac Delta Function & Fourier Transforms
-
Colloquium February 6th, 2014 -- Bloch, Landau, and Dirac: Hofstadter's Butterfly in Graphene
Transcription
See also
- Can you hear the shape of a drum?
- Dirichlet eigenvalue
- Spectral asymmetry
- Angle-resolved photoemission spectroscopy
References
- ^ Bär, Christian (2000), "Dependence of the Dirac spectrum on the spin structure", Global analysis and harmonic analysis. Papers from the conference, Marseille-Luminy, France, May 1999, Séminaires & Congrés, vol. 4, Paris: Société Mathématique de France, pp. 17–33, ISBN 2-85629-094-9