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199
Applications of the Dirac Sequences in Electrodynamics
"... Abstract: We established a method of constructing the Dirac sequences. On the basis of this method we construct some Dirac sequences with application in electrical engineering. KeyWords: distributions theory, generalized functions, Dirac sequences ..."
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Abstract: We established a method of constructing the Dirac sequences. On the basis of this method we construct some Dirac sequences with application in electrical engineering. KeyWords: distributions theory, generalized functions, Dirac sequences
Gravity from Dirac Eigenvalues
"... We study a formulation of euclidean general relativity in which the dynamical variables are given by a sequence of real numbers n , representing the eigenvalues of the Dirac operator on the curved spacetime. These quantities are diffeomorphisminvariant functions of the metric and they form an infi ..."
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Cited by 6 (0 self)
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We study a formulation of euclidean general relativity in which the dynamical variables are given by a sequence of real numbers n , representing the eigenvalues of the Dirac operator on the curved spacetime. These quantities are diffeomorphisminvariant functions of the metric and they form
Continuity of Dirac Spectra
, 2013
"... Abstract. It is a wellknown fact that on a bounded spectral interval the Dirac spectrum can be described locally by a nondecreasing sequence of continuous functions of the Riemannian metric. In the present article we extend this result to a global version. We think of the spectrum of a Dirac oper ..."
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Abstract. It is a wellknown fact that on a bounded spectral interval the Dirac spectrum can be described locally by a nondecreasing sequence of continuous functions of the Riemannian metric. In the present article we extend this result to a global version. We think of the spectrum of a Dirac
Gravity from Dirac Eigenvalues
, 2008
"... We study a formulation of euclidean general relativity in which the dynamical variables are given by a sequence of real numbers λn, representing the eigenvalues of the Dirac operator on the curved spacetime. These quantities are diffeomorphisminvariant functions of the metric and they form an infini ..."
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We study a formulation of euclidean general relativity in which the dynamical variables are given by a sequence of real numbers λn, representing the eigenvalues of the Dirac operator on the curved spacetime. These quantities are diffeomorphisminvariant functions of the metric and they form
Coil sensitivity encoding for fast MRI. In:
 Proceedings of the ISMRM 6th Annual Meeting,
, 1998
"... New theoretical and practical concepts are presented for considerably enhancing the performance of magnetic resonance imaging (MRI) by means of arrays of multiple receiver coils. Sensitivity encoding (SENSE) is based on the fact that receiver sensitivity generally has an encoding effect complementa ..."
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Cited by 193 (3 self)
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position, is the net encoding function composed of harmonic modulation and the complex spatial sensitivity s ␥ of coil ␥, and c results from tissue and sequence parameters. The effects of nonuniform kspace weighting due to relaxation shall be neglected in the scope of this work. From the linearity
The Dirac operator on hyperbolic manifolds of finite volume
 J. Differential Geom
"... We study the spectrum of the Dirac operator on hyperbolic manifolds of finite volume. Depending on the spin structure it is either discrete or the whole real line. For link complements in S 3 we give a simple criterion in terms of linking numbers for when essential spectrum can occur. We compute the ..."
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Cited by 35 (2 self)
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We study the spectrum of the Dirac operator on hyperbolic manifolds of finite volume. Depending on the spin structure it is either discrete or the whole real line. For link complements in S 3 we give a simple criterion in terms of linking numbers for when essential spectrum can occur. We compute
Quantization for a nonlinear Dirac equation QUANTIZATION FOR A NONLINEAR DIRAC EQUATION
"... Abstract. We study solutions of certain nonlinear Diractype equations on Riemann spin surfaces. We first improve an energy identity theorem for a sequence of such solutions with uniformly bounded energy in the case of a fixed domain. Then, we prove the corresponding energy identity in the case tha ..."
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Abstract. We study solutions of certain nonlinear Diractype equations on Riemann spin surfaces. We first improve an energy identity theorem for a sequence of such solutions with uniformly bounded energy in the case of a fixed domain. Then, we prove the corresponding energy identity in the case
kDirac operator and parabolic geometries
, 2013
"... The principal group of a Klein geometry has canonical left action on the homogeneous space of the geometry and this action induces action on the spaces of sections of vector bundles over the homogeneous space. This paper is about construction of differential operators invariant with respect to the ..."
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to the induced action of the principal group of a particular type of parabolic geometry. These operators form sequences which are related to the minimal resolutions of the kDirac operators studied in Clifford analysis. 1 Introduction. Let Rn be a Clifford algebra of Rn with an Euclidean scalar product and let
Can nonlocal Dirac operators be topologically
, 2000
"... By examining the analyticity of a sequence of topologicallyproper lattice Dirac operators, we show that they tend to a nonlocal Dirac operator. This implies that a nonlocal lattice Dirac operator can have exact zero modes satisfying the AtiyahSinger index theorem, in gauge backgrounds with nonzero ..."
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By examining the analyticity of a sequence of topologicallyproper lattice Dirac operators, we show that they tend to a nonlocal Dirac operator. This implies that a nonlocal lattice Dirac operator can have exact zero modes satisfying the AtiyahSinger index theorem, in gauge backgrounds
Results 1  10
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199