QUANTUM BROWNIAN MOTION AND NUCLEAR FISSION

WU Xi-Zhen; LI Zhu-Xia; ZHUO Yi-Zhong

Chinese Physics C> 1990, Vol. 14> Issue(4) : 345-351

QUANTUM BROWNIAN MOTION AND NUCLEAR FISSION

Institute of Atomic Energy of China,Beijing

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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.

References

[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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[20]	HE ZE-JUN , LEE PAN-LIN . THE MICROSCOPIC CALCULATION OF THE STATISTICAL THEORY OF NUCLEAR FISSION. Chinese Physics C, 1978, 2(4): 350-349.

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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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1.
沈阳化工大学材料科学与工程学院沈阳 110142

QUANTUM BROWNIAN MOTION AND NUCLEAR FISSION

Corresponding author: WU Xi-Zhen,

Institute of Atomic Energy of China,Beijing

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1990-04-05

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.