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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 35 (1994), S. 5869-5884 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A class of (1+1)-dimensional integrable systems which are constrained from the Kadomtsev–Petviashvili (KP) hierarchy is studied. The bilinear equations of these integrable systems are shown first, and then by using the free fermion operators their rational and soliton solutions which are closely related to the τ functions of the KP hierarchy are obtained. The result implies that a large family of solutions of the (2+1)-dimensional KP hierarchy can be obtained by solving these (1+1)-dimensional integrable systems; in particular, the N-soliton solutions of the KP hierarchy can be deduced from the soliton solutions of these (1+1)-dimensional integrable systems.
    Type of Medium: Electronic Resource
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  • 2
    Publication Date: 2016-07-12
    Description: We present a real-time and fully integrated quantum random number generator (QRNG) by measuring laser phase fluctuations. The QRNG scheme based on laser phase fluctuations is featured for its capability of generating ultra-high-speed random numbers. However, the speed bottleneck of a practical QRNG lies on the limited speed of randomness extraction. To close the gap between the fast randomness generation and the slow post-processing, we propose a pipeline extraction algorithm based on Toeplitz matrix hashing and implement it in a high-speed field-programmable gate array. Further, all the QRNG components are integrated into a module, including a compact and actively stabilized interferometer, high-speed data acquisition, and real-time data post-processing and transmission. The final generation rate of the QRNG module with real-time extraction can reach 3.2 Gbps.
    Print ISSN: 0034-6748
    Electronic ISSN: 1089-7623
    Topics: Electrical Engineering, Measurement and Control Technology , Physics
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  • 3
    Publication Date: 2014-06-11
    Description: Computer simulations based on the particle-in-cell/Monte Carlo collision method are performed to study the plasma characteristics and especially the transition in electron heating mechanisms in a hybrid direct current (dc)/dual-frequency (DF) capacitively coupled CF 4 discharge. When applying a superposed dc voltage, the plasma density first increases, then decreases, and finally increases again, which is in good agreement with experiments. This trend can be explained by the transition between the four main heating modes, i.e., DF coupling, dc and DF coupling, dc source dominant heating, and secondary electron dominant heating.
    Print ISSN: 0021-8979
    Electronic ISSN: 1089-7550
    Topics: Physics
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