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1.
After taking into account energy conservation and the particle’s self-gravitation interaction, Hawking radiation of the massive particle as tunneling from Schwarzshild-anti-de Sitter black hole is studied by using Parikh-Wilczek’s semi-classical quantum tunneling approach. Meanwhile, Hawking radiation as tunneling from the black hole is reexamined by developing Angheben–Nadalini–Vanzo–Zerbini (ANVZ) covariant method to cover energy conservation and the particle’s self-gravitation interaction. Both the results perfectly generalize those obtained by Parikh and Wilczek, and show that the tunneling rate is related to the change of Bekenstein-Hawking entropy, and the factual emission spectrum is not exactly thermal, but satisfies the underlying unitary theory. PACS: 04.70-s, 9760. Lf.  相似文献   
2.
In this paper, the notion of gap functions is extended from scalar case to vector one. Then, gap functions and generalized functions for several kinds of vector equilibrium problems are shown. As an application, the dual problem of a class of optimization problems with a system of vector equilibrium constraints (in short, OP) is established, the concavity of the dual function, the weak duality of (OP) and the saddle point sufficient condition are derived by using generalized gap functions. This work was supported by the National Natural Science Foundation of China (10671135) and the Applied Research Project of Sichuan Province (05JY029-009-1).  相似文献   
3.
《Tetrahedron》2006,62(2-3):346-351
l-Proline amides were evaluated for catalyzing the direct aldol reaction of 4-nitrobenzaldehyde with chloroacetone. The presence of 30 mol% (S)-pyrrolidine-2-carboxylic acid (2,4,6-trimethyl-phenyl)-amide catalyzed the direct aldol reactions of a range of aldehydes with chloroacetone to give anti-α-chloro-β-hydroxyketones with high regio-, diastereo- and enantioselectivity.  相似文献   
4.
5.
Graphene platelet (GP)-Ru(phen) 3 2+ assembles have been prepared through self-assembly of poly sodium styrenesulfonate (PSS) functionalized GPs and Ru(phen) 3 2+ driven by electrostatic attraction interactions in aqueous solution. The resultant assembled GP-Ru(phen) 3 2+ hybrid structure modified electrode exhibits excellent electrochemiluminescence (ECL) behaviors because of the ECL active species Ru(phen) 3 2+ contained therein.  相似文献   
6.
Iron is the cheapest and one of the most abundant transition metals. Natural [FeFe]‐hydrogenases exhibit remarkably high activity in hydrogen evolution, but they suffer from high oxygen sensitivity and difficulty in scale‐up. Herein, an FeP nanowire array was developed on Ti plate (FeP NA/Ti) from its β‐FeOOH NA/Ti precursor through a low‐temperature phosphidation reaction. When applied as self‐supported 3D hydrogen evolution cathode, the FeP NA/Ti electrode shows exceptionally high catalytic activity and good durability, and it only requires overpotentials of 55 and 127 mV to afford current densities of 10 and 100 mA cm2, respectively. The excellent electrocatalytic performance is promising for applications as non‐noble‐metal HER catalyst with a high performance–price ratio in electrochemical water splitting for large‐scale hydrogen fuel production.  相似文献   
7.
 采用脉冲激光沉积(PLD)方法在Si(100)衬底上制备了NaF薄膜。在激光重复频率2 Hz,能量密度3 J/cm2,本底真空度5×10-5 Pa的条件下,研究衬底温度对薄膜沉积速率及结构的影响。台阶仪分析表明:薄膜的沉积速率随衬底温度增加呈指数函数增加,算出NaF薄膜的反应激活能为48.67 kJ/mol。原子力显微镜分析表明:薄膜致密而光滑,均方根粗糙度为0.553 nm。扫描电镜截面微观形貌分析表明:薄膜呈现柱状结构。X射线衍射分析表明:NaF薄膜为面心立方晶体结构,并具有显著的择优取向;当衬底温度约为400 ℃时,平均晶粒尺寸最大(129.6 nm),晶格微应变最小(0.225%)。  相似文献   
8.
吴明忠 《数学研究》2008,41(2):113-118
求出了(n-3)-filiform李代数的极大环面,并证明了(n-3)-filiform李代数是可完备化的.  相似文献   
9.
1 IntroductionAccurate results of high-lying vibrational energies and molecular dissociation energy De of diatomic electronic states are very important for thermodynamics, molecular spec- troscopy, reactive scatterings, and the collision physics of ultracold atoms. For example, the binding energy of the highest bound vibrational state to the ground vibrational state determines the s-wave scattering length. This in turn determines the low- energy (pre- dominantly s-wave) atomic elastic-scatteri…  相似文献   
10.
谢莉  李纯红  李进东 《数学杂志》2006,26(2):197-202
本文研究了圆内零级亚纯函数的充满圆序列,获得了在关于型函数的Borel点附近存在充满圆序列,从而得到了Hayman点的存在性.  相似文献   
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