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31.
The principles of the causal interpretation are embodied in a conformally invariant theory in Weyl space. The particle is represented by a spherically symmetric thin-shell solution to Einstein's equations. Use of the Gauss-Mainardi-Codazzi formalism yields new insights into the issues of nonlocality, the quantum potential, and the guidance mechanism.1. The issue of negative probabilities associated with second-order wave equations in the causal interpretation is discussed in Ref. 19. 相似文献
32.
Null isotropy in a spacetime is defined. The relation of null isotropy to the constant curvature and infinitesimal spatial
isotropy is investigated. The influence of null isotropy on conjugate points along null geodesics and curvature singularities
is investigated. 相似文献
33.
This is a basically expository article, with some new observations, tracing connections of the quantum potential to Fisher information, to Kähler geometry of the projective Hilbert space of a quantum system, and to the Weyl-Ricci scalar curvature of a Riemannian flat spacetime with quantum matter.Á Denise 相似文献
34.
We prove that a compact almost Kähler manifold satisfying that a certain part of thedivergence W of the Weyl conformal tensor W vanishes isKähler. 相似文献
35.
Virginia Re Marco Bruni David R. Matravers Frances T. White 《General Relativity and Gravitation》2003,35(8):1351-1363
We develop an algebraic procedure to rotate a general Newman-Penrose tetrad in a Petrov type I spacetime into a frame with Weyl scalars 1 and 3 equal to zero, assuming that initially all the Weyl scalars are non vanishing. The new frame highlights the physical properties of the spacetime. In particular, in a Petrov type I spacetime, setting 1 and 3 to zero makes apparent the superposition of a Coulomb-type effect 2 with transverse degrees of freedom 0 and 4. 相似文献
36.
We build examples of Norden metrics on × S
1, where R
2 n
n
is either a pseudosphere or a pseudohyperbolic space. These turn out to be locally conformal to flat anti-Kählerian metrics, strongly non anti-Kählerian, and with a parallel Lee form. Conversely, any connected complete anti-Hermitian manifold possessing these properties is shown to be locally analytically homothetic to × S
1. 相似文献
37.
Philippe Caldero 《Proceedings of the American Mathematical Society》2000,128(4):943-951
Let be a complex not a root of unity and be a semi-simple Lie -algebra. Let be the quantized enveloping algebra of Drinfeld and Jimbo, be its triangular decomposition, and the associated quantum group. We describe explicitly and as a quantum Weyl field. We use for this a quantum analogue of the Taylor lemma.
38.
Let X be a Riemann surface equipped with a projective structure. Let
be a square-root of the holomorphic cotangent bundle K
X
. Consider the symplectic form on the complement of the zero section of
obtained by pulling back the symplectic form on K
X
using the map 2. We show that this symplectic form admits a natural quantization. This quantization also gives a quantization of the complement of the zero section in K
X
equipped with the natural symplectic form. 相似文献
39.
Martin Bohner 《Applied mathematics and computation》2010,216(10):2855-2976
In this work, we establish Weyl-Titchmarsh theory for symplectic difference systems. This paper extends classical Weyl-Titchmarsh theory and provides a foundation for studying spectral theory of symplectic difference systems. 相似文献
40.
weyl群的定义关系及其应用 总被引:1,自引:0,他引:1
首 先深化 R. Steinberg 关于 W eyl 群定义 关系的一个定 理,作为应 用,对 Bl , Cl 型 W eyl群分别构造了一 个指数为2的正 规子群 相似文献