中国物理B ›› 1998, Vol. 7 ›› Issue (7): 510-517.doi: 10.1088/1004-423X/7/7/005

• • 上一篇    下一篇

PATH INTEGRAL CALCULATION OF QUANTUM TUNNELING FOR CUBIC POTENTIAL AT FINITE TEMPERATURE

梁九卿1, 张云波2, 蒲富恪2   

  1. (1)Department of Physics, Shanxi University, Taiyuan 030006, China; Institute of Physics and Center for Condensed Matter Physics, Academia Sinica, Beijing 100080, China; (2)Institute of Physics and Center for Condensed Matter Physics, Academia Sinica, Beijing 100080, China; Department of Physics, Shanxi University, Taiyuan 030006, China
  • 收稿日期:1997-11-17 出版日期:1998-07-20 发布日期:1998-07-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China.

PATH INTEGRAL CALCULATION OF QUANTUM TUNNELING FOR CUBIC POTENTIAL AT FINITE TEMPERATURE

Zhang Yun-bo (张云波)ab, Liang Jiu-qing (梁九卿)ab, Pu Fu-cho (蒲富恪)ac   

  1. a Institute of Physics and Center for Condensed Matter Physics, Academia Sinica, Beijing 100080, China; b Department of Physics, Shanxi University, Taiyuan 030006, China; c Department of Physics, Guangzhou Normal College, Guangzhou 510400, China
  • Received:1997-11-17 Online:1998-07-20 Published:1998-07-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China.

PDF (PC)

1047

赞

摘要： The periodic instanton method is used to study the decay rates of metastable ground state and excited states of the cubic potential. The imaginary part of the energy is calculated through the standard procedure in the path-integral scheme. A formula of the decay rate valid for the entire region of energy is obtained. This formula provides a linkage between classical thermal activation at high temperatures and purely quantum tunneling at zero temperature. It is shown that in the low energy limit this more general result reduces exactly to the vacuum result. The temperature dependence of the decay rate agrees with earlier works in the literature.

Abstract: The periodic instanton method is used to study the decay rates of metastable ground state and excited states of the cubic potential. The imaginary part of the energy is calculated through the standard procedure in the path-integral scheme. A formula of the decay rate valid for the entire region of energy is obtained. This formula provides a linkage between classical thermal activation at high temperatures and purely quantum tunneling at zero temperature. It is shown that in the low energy limit this more general result reduces exactly to the vacuum result. The temperature dependence of the decay rate agrees with earlier works in the literature.

中图分类号:  (Electronic transport in mesoscopic systems)

  • 73.23.-b
73.40.Gk (Tunneling) 74.50.+r (Tunneling phenomena; Josephson effects)