Dirac Operators
On Spectral Invariants of Dirac Operators on Noncommutative Tori and Curvature of the Determinant Line Bundle for the Noncommutative Two Torus
... elliptic operators, or more precisely the Dirac ...elliptic operators, stand a chance of being translated to noncommutaive ...and Dirac operators over a Spin C ...
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Dirac operators in tensor categories and the motive of quaternionic modular forms
... and Dirac operators has been defined with source and target those of the subsequent Lemma ...the Dirac operator requires the theory we have developed in order to provide good models for their kernels ...
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Symplectic Dirac operators and Mpc structures
... two Dirac operators D and D e acting on sections of a bundle of symplectic ...symplectic Dirac operators to any symplectic manifold, through the use of M p c ...natural Dirac ...
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Boundary value problems for modified Dirac operators in Clifford analysis
... The uniqueness and existence theorems for the solutions of boundary value problems for systems of partial differential equations are sufficiently well known. Such problems have remarkable applications in mathematical ...
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C-Bar-Dirac-operators-positive-space-forms.pdf
... for Dirac operator. The Dirac operator is an elliptic differential operator of first order acting on spinor fields, hence its spectrum is discrete point spectrum if the underlying manifold is ...of ...
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Inverse eigenvalue problem for a class of Dirac operators with discontinuous coefficient
... the Dirac operator was studied in [], and in this work, not only the Gelfand-Levitan-Marchenko method but also the Krein method [] was ...the Dirac operator with discon- tinuous coefficient was analyzed ...
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Projective Dirac Operators, Twisted K-Theory, and Local Index Formula
... many nice properties such as “the five conditions” in Connes [8], and conversely, it is proved that [8] any commutative spectral triple (A, H, D, γ) satisfying those five conditions is equivalent to a spectral triple ...
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Hermitean Cauchy Integral Decomposition of Continuous Functions on Hypersurfaces
... Hermitean Dirac operators commute with its associated ...these operators are invariant under the action of the unitary group, and so is the notion of ...
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Norm inequalities for composition of the Dirac and Green’s operators
... the Dirac operator D and Green’s operator G are widely studied and used in mathematics and ...Paul Dirac in order to get a form of quantum theory compatible with special relativity, Dirac ...
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Global Symmetries of Naive and Staggered Fermions in Arbitrary Dimensions
... the Dirac operator, the spectral statistics and also the symmetry breaking pattern will be ...naive Dirac operators in the strong coupling ...
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Asymptotics for Erdos Solovej zero modes in strong fields
... on Dirac operators on S 2 is outlined in Section 2 while the key results we require from [10] are stated at the start of Section ...of Dirac operators on S 2 ; see (7) and Theorem ...
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Monte Carlo simulations of random non commutative geometries
... models where the algebra is an algebra of matrices. Thus one can construct perfectly computable models of random geometry that are not lattice mod- els. Moreover, the standard model of particle physics has a ...
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Hermitean Téodorescu Transform Decomposition of Continuous Matrix Functions on Fractal Hypersurfaces
... Euclidean Dirac equation, the fundamental group invariance of this system breaks down to a smaller group; it was shown in 6 that it concerns the unitary group Un; ...complex Dirac operators was ...
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ABSTRACT BOTT-CHERN CHARACTERISTIC FORMS AND INDEX THEOREMS FOR COHERENT SHEAVES ON COMPLEX MANIFOLDS
... quasi-cohesive module whose degree zero component is the family of generalized Dolbeault-Dirac operators studied in the previous chapter. This is the infinite di- mensional version of the construction of ...
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Tachyonic Dirac Equation Revisited
... Abstract In this paper, we revisit the two theoretical approaches for the formulation of the tachyonic Dirac equation. The first approach works within the theory of restricted relativity, starting from a Lorentz ...
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Time-dependent massless Dirac fermions in graphene
... We have demonstrated that the Lewis-Riesenfeld method can be applied to construct solutions to the 2+1 dimensional time-dependent Dirac equation. The time-dependence resulted from a background and a magnetic field. ...
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Mass Spectrum of Dirac Equation with Local Parabolic Potential
... The quark models employ multiplets of spinors and nonlinear interactive vec- tors with gauge symmetries, which are too complicated to get exact solutions and an overview for the properties. In this paper we examine the ...
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A Real Version of the Dirac Equation and Its Coupling to the Electromagnetic Field
... the Dirac equation the coupling of charged fermions to an electromagnetic field is possible, and can be retained if in that equation the real and im- aginary part of a complex Dirac spinor field are ...
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The Two Component Majorana Equation Novel Derivations and Known Symmetries
... the Dirac equation (with its four- component spinors) with respect to a spin flip, which corresponds to interchanging the two irreducible representations of the Lorentz ...
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Explicit Solution and Fine Asymptotics for a Critical Growth-Fragmentation Equation
... a dirac mass (or a sum of dirac masses linked by a specific algebraic relation), the asymptotic behaviour was also defined thanks to the Mellin transform, but was more involved, with an infinite sum of ...
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