QUANTUM BROWNIAN MOTION AND NUCLEAR FISSION

  • Based on a simplified Hamiltonian model the transition from quantum to classical diffusion behaviours for a system has been shown.The approximation of a locally harmonic oscillator and reduced density operator in the harmonic oscillator are generalized to calculate the escape tate over the barrier for the system in a fission potential consisting of a ground state well and barrier.
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  • [1] L. R. Senitzky, Phys.: Rev., 119(1960),670.[2] H. Mori, Prog. Theor. Phys., 33(1965), 423.[3] R. Zwanzig, J. Chem. Phys., 33(1960), 1338.[4] S. Nakajima, Prog. Theor. Phys., 20(1958), 948.[5]卓益忠,吴锡真,高能物理与核物理,3(1979),501,[6]卓益忠,张竟上,吴锡真,马中玉,高能物理与核物理,4(1980),752,[7] A. O. Caldeira, A. J. Leggett, Physica, 121A(1983), 587.[8] 吴锡真,卓益忠,高能物理与核物理,4(1980),113.[9] 吴锡真,卓益忠,原子核物理,2(1980),275.[10] F. .Scheuce:z, H. Hofmann, Nucl. Phys., A394(1983);477.[11] R. Zwanzig J. Math. Phys., 9(1973), 215.[12] S. Chandrasekhat, Rev: Mod. Phys., 15(1943), 1.[13] 冯仁发,吴锡真,卓益忠,裂变系统扩散过程的研究(I)一趋向平衡过程现象分析,原子核物理,10(1988),16[14] 孙豁民,吴锡真,卓益忠,布朗运动中的量子及非以Markov效应,高能物理与核物理,待发表.[15] 冯仁发,吴锡真,卓益忠,裂变系统扩散过程的研究(II)一准稳态现象的分析.原子核物理,10(1988),120.
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WU Xi-Zhen, LI Zhu-Xia and ZHUO Yi-Zhong. QUANTUM BROWNIAN MOTION AND NUCLEAR FISSION[J]. Chinese Physics C, 1990, 14(4): 345-351.
WU Xi-Zhen, LI Zhu-Xia and ZHUO Yi-Zhong. QUANTUM BROWNIAN MOTION AND NUCLEAR FISSION[J]. Chinese Physics C, 1990, 14(4): 345-351. shu
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Received: 1900-01-01
Revised: 1900-01-01
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QUANTUM BROWNIAN MOTION AND NUCLEAR FISSION

    Corresponding author: WU Xi-Zhen,
  • Institute of Atomic Energy of China,Beijing

Abstract: Based on a simplified Hamiltonian model the transition from quantum to classical diffusion behaviours for a system has been shown.The approximation of a locally harmonic oscillator and reduced density operator in the harmonic oscillator are generalized to calculate the escape tate over the barrier for the system in a fission potential consisting of a ground state well and barrier.

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