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71.
Lewis Ryder 《General Relativity and Gravitation》2008,40(6):1111-1115
It is demonstrated that a spin-rotation coupling term only appears in the Hamiltonian of a Dirac particle if the rotating
frame obeys the rules of Fermi–Walker transport. This is illustrated by examples in Minkowski space and the paper concludes
with some speculations about spin-rotation coupling in Kerr space-time. 相似文献
72.
Aïssa Wade 《Annals of Global Analysis and Geometry》2008,33(3):207-217
Poisson fiber bundles are studied. We give sufficient conditions for the existence of a Dirac structure on the total space
of a Poisson fiber bundle endowed with a compatible connection. We also provide some examples.
相似文献
73.
A simple independent-quark-model based on the Dirac equation with logarithmic potential is used to calculate several properties
of octet baryons such as magnetic moment, the axial vector coupling constantg
A (n) for neutronβ-decay and the charge radius of the proton. In view of the simplicity of the model, the results obtained are quite good. 相似文献
74.
K. D. Kirchberg 《Journal of Geometry and Physics》1990,7(4):449-468
If M2m is a closed Kähler spin manifold of positive scalar curvature R, then each eigenvalue λ of type r (r {1, …, [(m + 1)/2]}) of the Dirac operator D satisfies the inequality λ2 ≥ rR0/4r − 2, where R0 is the minimum of R on M2m. Hence, if the complex dimension m is odd (even) we have the estimation for the first eigenvalue of D. In the paper is also considered the limiting case of the given inequalities. In the limiting case with m = 2r − 1 the manifold M2m must be Einstein. The manifolds S2, S2 × S2, S2 × T2, P3(
), F(
), P3(
) × T2 and F(
3) × T2, where F(
3) denotes the flag manifold and T2 the 2-dimensional flat torus, are examples for which the first eigenvalue of the Dirac operator realizes the limiting case of the corresponding inequality. In general, if M2m is an example of odd complex dimension m, then M2m × T2 is an example of even complex dimension m + 1. The limiting case is characterized by the fact that here appear eigenspinors of D2 which are Kählerian twistor-spinors. 相似文献
75.
Helga Baum 《Journal of Geometry and Physics》1987,4(4):503-522
Let
(P) be the moduli space of irreducible connections of a G-principal bundle P over a closed Riemannian spin manifold M. Let DA be the Dirac operator of M coupled to a connection A of P and f a smooth function on M. We consider a smooth variation A(u) of A with tangent vector ω and denote Tω:=
(DA(u)−f) (u=0. The coefficients of the asymptotic expansion of trace (Tω · e-t(DA−f)2) near t=0 define 1-forms a(k)f, K=0, 1, 2, … on
(P). In this paper we calculate aa(0)f, a(1)f, a(2)f and study some of their properties. For instance using the 1-form a(2)f for suitable functions f we obtain a foliation of codimension 5 of the space of G-instantons of S4. 相似文献
76.
The shot noise properties in a graphene-based multi-quantum well structure are investigated theoretically. It is found that when the number of the potential barriers (quantum wells) is big enough and the width of the barriers and the wells is shorter than the mean free path, another Dirac-like point at which the Fermi energy equals half of the barrier height appears. The transport is almost forbidden at this new Dirac-like point, the conductivity gets the minimum, and the Fano factor approaches 1/3. With the random potential barrier being taken into consideration, the conductance enhances clearly, meanwhile the Fano factor is suppressed much more. 相似文献
77.
We analyze the relation between the Dirac spectrum and the gauge field in SU(3) lattice QCD. We focus on how a certain component of the gauge field is related to the Dirac spectrum. First, we consider momentum components of the gauge field. It turns out that the broad momentum region is relevant for the low-lying Dirac spectrum and topological charges. The connection with chiral random matrix theory is also discussed. Second, we consider an SU(2) subgroup component of the SU(3) gauge field. The SU(2) subgroup component behaves like the SU(2) gauge field in the low-lying Dirac spectrum. 相似文献
78.
We consider the 1D Dirac operator on the half-line with compactly supported potentials. We study resonances as the poles of scattering matrix or equivalently as the zeros of modified Fredholm determinant. We obtain the following properties of the resonances: (1) asymptotics of counting function, (2) estimates on the resonances and the forbidden domain. 相似文献
79.
Associated with the Dirac operator and partial derivatives, this paper establishes some real Paley-Wiener type theorems to characterize the Clifford-valued functions whose Clifford Fourier transform (CFT) has compact support. Based on the Riemann-Lebesgue theorem for the CFT, the Boas theorem is provided to describe the CFT of Clifford-valued functions that vanish on a neighborhood of the origin. 相似文献
80.