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991.
本文利用矩阵行的初等变换 ,采用递推的方法 ,求出了有限域 k上 n次一般线性群 GLn(k)和 n次特殊线性群 SLn(k)的阶 . 相似文献
992.
Droplets of Co-16%Cu and Co-71.6%Cu peritectic alloys were solidified during containerless processing in a 3_m drop tube. The microstructures of Co-16%Cu alloy droplets were characterized by dendritic or equiaxed α-Co phase with a small amount of Cu-rich solid solution distributed on α-Co phase boundaries. Two thresholds of droplet diameter were observed for Co-16%Cu alloy at which "equiaxed-dendritic-equiaxed" morphological transitions occur to primary α-Co phase. This conspicuous refinement of primary α-Co grains results from the fragmentation of α-Co dendrites caused by recalescence effect. For Co-71.6%Cu alloy, the primary α-Co phase forms as coarse columnar dendrites in large droplets and equiaxed dendrites in small droplets. Theoretical calculations indicate that Marangoni migration contributes more to the growth of disperse Co-rich spheres by stimulating collision and coalescence than Stokes motion caused by the residual gravity in the falling Co-71.6%Cu alloy droplets. 相似文献
993.
Zhenya YAN Institute of Mathematical Science Dalian University of Technology Dalian China e-mail: zhanghq@dlut. edu.cn 《Communications in Nonlinear Science & Numerical Simulation》2000,(1)
IntroductionDuring the study of water wave, many completely iategrable models were derived, such as(1+1)-dimensional KdV equation, MKdV equation, (2+1)-dimensional KdV equation, Boussinesq equation and WBK equations etc. Many properties of these models had been researched,such as BAcklund transformation (BT), converse rules, N-soliton solutions and Painleve property etc.II--8]. In this paper, we would like to consider (2+1)-dimensional variable coefficientgeneralized KP equation which … 相似文献
994.
Crystal growth is a process that only takes place under non‐equilibrium conditions and a necessary prerequisite is that the crystal is exposed to a phase that is supersaturated in the material the crystal is composed of, be it a solution, a vapour or a supercooled melt. In industrial mass crystallization the growth rate for a population of crystals (in suspension growth processes [1]) rarely exceeds mean linear velocities of 10‐7 ms‐1. Here we present a mass crystallization process which is accompanied by rapid crystal growth several orders of magnitude faster and into a region of solution that is without inherent supersaturation. The material investigated is a solid hydrate that exhibits a solution mediated phase transition to its anhydrous form in the presence of methanol [2]. The phase transition is initiated simply by placing an amount of hydrate crystals into the solvent and is characterized by the rapid emergence of needle‐shaped crystals. The needles emanate from the crystal faces of the hydrate crystals and grow into the solution, which is nominally free of the substance to be crystallized. The high growth rate of the crystals, which of the order of up to 10‐4 ms‐1 is surprising. Although rapid needle growth has been observed before [3‐9], to date a satisfactory explanation for needles growing under the abovementioned conditions is still outstanding. Based upon the topology of the crystals we propose a tentative mechanism for this phenomenon capable of explaining the unusually rapid growth and highlight those questions that need addressing in order to verify this mechanism. X‐ray powder diffraction is used to characterize the crystal phase of the needles; confocal fluorescence microscopy reveals that the needles are hollow. The width of these needles is between 0.5 and 5 μm, their length appears to be limited only by the amount of hydrate available for their formation. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
995.
Two simple schemes for probabilistic teleportation of an arbitrary unknown two-particle state using a non-maximally
entangled EPR pair and a non-maximally entangled GHZ state as quantum channels are proposed. After receiving Alice's Bell state measurement results, Bob performs a collective unitary transformation on his inherent particles without introducing the auxiliary qubit. The original state can be probabilistically teleported. Meanwhile, quantum circuits for realization of successful teleportation are also presented. 相似文献
996.
Based on the exact solution of the time-dependent Schr\"{o}dinger
equation for two-species Bose--Einstein condensates (BECs)
consisting of two hyperfine states of the atoms coupled by a tuned
adiabatic and time-varying Raman coupling, we obtain analytically
the entanglement dynamics of the system with various initial
states, particularly the SU(2) coherent state, for both of
cases with and without the nonlinear interactions. It is shown
that the effect of nonlinear interaction on the entanglement
appears only in a longer time period depending on the BEC
parameters. 相似文献
997.
This paper proposes a scheme for teleporting a kind of essential three-particle
non-symmetric entangled state, which is much more valuable than a GHZ and W state
for some applications in quantum information processing. In comparison with previous
proposal of teleportation, the resources of entangled states as quantum channel and
the number of classical messages required by our scheme can be cut down. Moreover,
it is shown that there exists a class of transformations which ensure the success of
this scheme, because the two-particle transformation performed by the receiver in
the course of teleportation may be a generic two-particle operation instead of a
control-NOT (CNOT) operation. In addition, all kinds of transformations performed by
sender and receiver are given in detail. 相似文献
998.
ZHAN You-Bang 《理论物理通讯》2006,45(2):275-278
In this paper, two schemes for teleporting an unknown three-particle
three-level entangled state are proposed. In the first scheme, two partial three-particle three-level entangled states are used as the quantum
channels, while in the second scheme, three two-particle three-level
non-maximally entangled states are employed as quantum channels. It is shown that the teleportation can be successfully realized with certain
probability, for both two schemes, if a receiver adopts some appropriate
unitary transformations. It is shown also that the successful probabilities
of these two schemes are different. 相似文献
999.
WANG Zheng-Chuan 《理论物理通讯》2006,46(5):857-858
In the well-known treatment of quantum teleportation, the receiver should convert the state of his EPR particle into the replica of the unknown quantum state by one of four possible unitary transformations. However, the importance of these unitary transformations must be emphasized. We will show in this paper that the receiver cannot transform the state of his particle into an exact replica of the unknown state which the sender wants to transfer if he has not a proper implementation of these unitary transformations. In the procedure of converting state, the inevitable coupling between EPR particle and environment which is needed by the implementation of unitary transformations will reduce the accuracy of the replica. 相似文献
1000.