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Chinese Physics C> 1999, Vol. 23> Issue(11) : 1108-1114 

Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (I) The Formalism of the Propagation of Coherent States in Potential

  •  Research Center of Nuclear Theory of National laboratory of HeaVy IOn Acceleratorof Lanzhou, Lanzhou 730000Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000

  • The temporal variation characteristics of nonstationary wave functions are investigated, which enables us to carry out the study of quantum chaotic dynamics with the same starting point as in corresponding classical case, especially to realize the sensitivity of the quantum state with respect to the initial condition. Here the coherent states under the dynamical symmetry of asymmetrical two dimensional harmonic oscillator, in which the minimum uncertainty Principle is satisfied, are usedas an initial state. The formalism of the temporal variation of the expectation values and the uncertainty measurements of canonical variables of the quantum state under the broken symmetry by the additional octupole deformed potential is fulfilled.
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    [1] Verbaarschot J J M Weidenmuller H A, Zirnbauer M K Phys. Rev. Lett., 1984, 52:1597; Phys. Rep. 1985, 129:3672 Bohigas O. In The Compound Nucleus: A Classically Chaotic Quantum System. In: Durell J L et al. Procee.Inter. Nucl. Phys. Confe. U. K: Harrogate 1986, 511 3 Gutzwiller M C Chaotic in Classical and Quantum Mechanics.New York: Springer, 1990 4 Lichtenberg J, Lieberman M A. Regular and Stochastic Motion. New York: Springer, 19835 Xu Gong–ou, Yang Ya–tian. Chin. Phys. Lett, 1999, 16:6 6 Glauber Roy J. Phys. Rev., 1963, 130:2529; 1963, 131:2766 7 Li Junqing. J. Phys., 1998, G24: 1021. 8 Heiss W D, Nazmitdinov R G, Radu S. Phys. Rev. Lett, 1994, 72:23519 Li Junqing. Phys. Rev. Lett., 1997, 79:2387 10 Blaizot, Jean–Paul. Qyabtyn theory of finite systems, Massachusetts: Massachusetts Institute of Technology,1986

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Liu Fang, Li Xiguo, Li Junqing and Luo Yixiao. Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (I) The Formalism of the Propagation of Coherent States in Potential[J]. Chinese Physics C, 1999, 23(11): 1108-1114.
Liu Fang, Li Xiguo, Li Junqing and Luo Yixiao. Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (I) The Formalism of the Propagation of Coherent States in Potential[J]. Chinese Physics C, 1999, 23(11): 1108-1114. shu
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Received: 1998-07-30
Revised: 1900-01-01
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Chaotic Motion of a Nucleon in Mean Field Potential With Octupole Deformation (I) The Formalism of the Propagation of Coherent States in Potential

    Corresponding author: Liu Fang,
  • Research Center of Nuclear Theory of National laboratory of HeaVy IOn Acceleratorof Lanzhou, Lanzhou 730000Institute of Modern Physics, The Chinese Academy of Sciences, Lanzhou 730000
  • Received Date: 1998-07-30
  • Accepted Date: 1900-01-01
  • Available Online: 1999-11-05

Abstract: The temporal variation characteristics of nonstationary wave functions are investigated, which enables us to carry out the study of quantum chaotic dynamics with the same starting point as in corresponding classical case, especially to realize the sensitivity of the quantum state with respect to the initial condition. Here the coherent states under the dynamical symmetry of asymmetrical two dimensional harmonic oscillator, in which the minimum uncertainty Principle is satisfied, are usedas an initial state. The formalism of the temporal variation of the expectation values and the uncertainty measurements of canonical variables of the quantum state under the broken symmetry by the additional octupole deformed potential is fulfilled.

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