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911.
Mario Rabinowitz 《International Journal of Theoretical Physics》2007,46(5):1403-1415
As shown previously, quantum mechanics directly violates the weak equivalence principle in general, and thus indirectly violates
the strong equivalence principle in all dimensions. The present paper shows that quantum mechanics also directly violates
the strong equivalence principle unless it is arbitrarily abetted in hindsight. Vital domains are shown to exist in which
quantum gravity would be non-applicable. There are classical subtleties in which the strong equivalence principle appears
to be violated, but is not. Neutron free fall interference experiments in a gravitational field are examined, as is Galileo's
falling body assertion and the misconception it leads to. 相似文献
912.
微分方程dx/dt=Ax f(x)(其中A的特征根实部异于零)拓扑线性化的经典结论是由Hartman与 Grobman给出的,但是他们的结论都是局部拓扑线性化,即要求同胚函数限制在原点的小邻域内.如 果要延伸到全局上的话,必须f(x)有界.本文研究了系统(1.3),证明当此系统满足适当的条件时可全 局线性化. 相似文献
913.
E. I. Zelenov 《Theoretical and Mathematical Physics》2008,157(3):1707-1712
We consider C*-algebras of commutation relations over the fields ℚ
p, p = 2, 3, 5, …, ∞. We describe all the irreducible separable representations of these algebras. We prove that the algebras
are not isomorphic at different p.
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 157, No. 3, pp. 406–412, December, 2008. 相似文献
914.
We determine the affine equivalence classes of the eight variable degree three homogeneous bent functions using a new algorithm. Our algorithm applies to general bent functions and can systematically determine the automorphism groups. We provide a partial verification of the enumeration of eight variable degree three homogeneous bent functions obtained by Meng et al. We determine the affine equivalence classes of these functions. 相似文献
915.
Wei-ping Yin & An WANG School of Mathematical Sciences Capital Normal University Beijing China 《中国科学A辑(英文版)》2007,50(2):183-200
In this paper we study the complete invariant metrics on Cartan-Hartogs domains which are the special types of Hua domains. Firstly, we introduce a class of new complete invariant metrics on these domains, and prove that these metrics are equivalent to the Bergman metric. Secondly, the Ricci curvatures under these new metrics are bounded from above and below by the negative constants. Thirdly, we estimate the holomorphic sectional curvatures of the new metrics, and prove that the holomorphic sectional curvatures are bounded from above and below by the negative constants. Finally, by using these new metrics and Yau's Schwarz lemma we prove that the new metrics are equivalent to the Einstein-Kahler metric. That means that the Yau's conjecture is true on Cartan-Hartogs domains. 相似文献
916.
Systems with long range interactions in general are not additive, which can lead to an inequivalence of the microcanonical and canonical ensembles. The microcanonical ensemble may show richer behavior than the canonical one, including negative specific heats and other non-common behaviors. We propose a classification of microcanonical phase transitions, of their link to canonical ones, and of the possible situations of ensemble inequivalence. We discuss previously observed phase transitions and inequivalence in self-gravitating, two-dimensional fluid dynamics and non-neutral plasmas. We note a number of generic situations that have not yet been observed in such systems. 相似文献
917.
918.
随机康托集的概率性质 总被引:2,自引:2,他引:0
本文讨论了两类随机康托集。关于一类随机康托集,证明它们相交等价于稳定从属过程;关于另一类随机康托集,该文证明了由它们产生的随机过程的密度函数与稳定从属过程的密度函数有很大的相似性。 相似文献
919.
Ramón Ardanuy J. López-Fidalgo Patrick J. Laycock Weng Kee Wong 《Annals of the Institute of Statistical Mathematics》1999,51(3):531-540
We discuss conditions under which an equally weighted design is D-optimal. The concept of a model being maximally invariant with respect to a set is introduced and is shown to be useful in this work. Several illustrative examples are given, including two biomedical applications using compartmental and segmented models. 相似文献
920.
Julien Melleray 《Mathematical Logic Quarterly》2007,53(2):128-131
We compute here the Borel complexity of the relation of isometry between separable Banach spaces, using results of Gao, Kechris [2], Mayer‐Wolf [5], and Weaver [8]. We show that this relation is Borel bireducible to the universal relation for Borel actions of Polish groups. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献