中国物理B ›› 2012, Vol. 21 ›› Issue (8): 83201-083201.doi: 10.1088/1674-1056/21/8/083201

• ATOMIC AND MOLECULAR PHYSICS • 上一篇    下一篇

On long-time limit behavior of the solution of atom's master equation

陈俊华a, 范洪义a, 姜年权b   

  1. a Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;
    b School of Physical Science and Electronic Information Engineering, Wenzhou University, Wenzhou 325035, China
  • 收稿日期:2011-09-16 修回日期:2012-04-11 出版日期:2012-07-01 发布日期:2012-07-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11105133).

On long-time limit behavior of the solution of atom's master equation

Chen Jun-Hua (陈俊华)a, Fan Hong-Yi (范洪义)a, Jiang Nian-Quan (姜年权 )b   

  1. a Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;
    b School of Physical Science and Electronic Information Engineering, Wenzhou University, Wenzhou 325035, China
  • Received:2011-09-16 Revised:2012-04-11 Online:2012-07-01 Published:2012-07-01
  • Contact: Chen Jun-Hua E-mail:cjh@ustc.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11105133).

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摘要： We study long-time limit behavior of the solution of atom's master equation, for the first time we derive that the probability of the atom being in the α-th (α =j+1-jz, j is the angular momentum quantum number, jz is the z-component of angular momentum) state is {(1-K/G)/[1-(K/G)2j+1]}(K/G)α-1 as t→+∞, which coincides with the fact that when K/G > 1, the larger the α is, the larger probability of the atom being in the α-th state (the lower excited state). We also consider the case for some possible generalizations of the atomic master equation.

关键词: master equation, angular momentum, long-time limit behavior

Abstract: We study long-time limit behavior of the solution of atom's master equation, for the first time we derive that the probability of the atom being in the α-th (α =j+1-jz, j is the angular momentum quantum number, jz is the z-component of angular momentum) state is {(1-K/G)/[1-(K/G)2j+1]}(K/G)α-1 as t→+∞, which coincides with the fact that when K/G > 1, the larger the α is, the larger probability of the atom being in the α-th state (the lower excited state). We also consider the case for some possible generalizations of the atomic master equation.

Key words: master equation, angular momentum, long-time limit behavior

中图分类号:  (Properties of atoms)

  • 32.10.-f