Results 11 to 20 of about 7,226 (315)
G-Convergence of Dirac Operators [PDF]
Journal of Function Spaces and Applications, 2012 We consider the linear Dirac operator with a (−1)-homogeneous locally periodic potential that varies with respect to a small parameter. Using the notation of G-convergence for positive self-adjoint operators in Hilbert spaces we prove G-compactness in ...
Hasan Almanasreh, Nils Svanstedt
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Mathematics and Statistics, 2021 If $T$ is a (densely defined) self-adjoint operator acting on a complex Hilbert space $\mathcal{H}$ and $I$ stands for the identity operator, we introduce the delta function operator $ \mapsto \left( I-T\right) $ at $T$. When $T$ is a bounded operator, then $ \left( I-T\right) $ is an operator-valued distribution.
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Embeddings, Operator Ranges, and Dirac Operators [PDF]
Complex Analysis and Operator Theory, 2010 The authors continue the study of induced Krein spaces initiated in [\textit{P. Cojuhari} and \textit{A. Gheondea}, J. Oper. Theory 61, No. 2, 347--367 (2009; Zbl 1174.47016)]. The authors introduce the notion of a closely embedded Krein space, which can be considered as a generalization of the concept of closely embedded Hilbert spaces [\textit{P ...
Cojuhari, P., Gheondea, A.
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Advances in Applied Clifford Algebras, 2009 We introduce non-linear Dirac operators in $\mathbb{R}^{n}$ associated to the $p$-harmonic equation and we extend to other contexts including spin manifolds and the sphere.
Nolder, Craig A., Ryan, John
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Dirac operators on coset spaces [PDF]
Journal of Mathematical Physics, 2003 The Dirac operator for a manifold Q, and its chirality operator when Q is even dimensional, have a central role in noncommutative geometry. We systematically develop the theory of this operator when Q=G/H, where G and H are compact connected Lie groups and G is simple.
Balachandran, A. P. +3 more
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DIRAC OPERATORS ON LIE ALGEBROIDS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2021 We compare the Dirac operator on transitive Riemannian Lie algebroid equipped by spin or complex spin structure with the one defined on to its base manifold. Consequently we derive upper eigenvalue bounds of Dirac operator on base manifold of spin Lie algebroid twisted with the spinor bundle of kernel bundle.
Tarviji, Arezo +1 more
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Dirac Operators and Domain Walls [PDF]
SIAM Journal on Mathematical Analysis, 2020 We study the eigenvalue problem for a one-dimensional Dirac operator with a spatially varying ``mass'' term. It is well-known that when the mass function has the form of a kink, or \emph{domain wall}, transitioning between strictly positive and strictly negative asymptotic mass, $\pmκ_\infty$, at $\pm\infty$, the Dirac operator has a simple eigenvalue ...
Jianfeng Lu +2 more
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Twisted Higher Spin Dirac Operators [PDF]
Complex Analysis and Operator Theory, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
De Schepper, Hennie +2 more
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Index-like theorem for massless fermions in spherically symmetric monopole backgrounds
Journal of High Energy Physics, 2022 In this paper we study massless fermions coupled to spherically symmetric SU(N) monopoles without Yukawa couplings between the Higgs and fermion fields.
T. Daniel Brennan
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Anomaly inflow for local boundary conditions
Journal of High Energy Physics, 2022 We study the η-invariant of a Dirac operator on a manifold with boundary subject to local boundary conditions with the help of heat kernel methods. In even dimensions, we relate this invariant to η-invariants of a boundary Dirac operator, while in odd ...
A. V. Ivanov, D. V. Vassilevich
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