数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (1): 113-121.

• 论文 • 上一篇    下一篇

HEISENBERG’S INEQUALITY IN SOBOLEV SPACES

 齐民友, 田谷基   

  1. School of Mathematical Sciences, Wuhan University, Wuhan 430072, China
  • 出版日期:2000-01-07 发布日期:2000-01-07
  • 基金资助:

    Supported by the Tian-yuan Mathematical Foundation of CNNSF and the Hua-Chen Mathematical Foundation.

HEISENBERG’S INEQUALITY IN SOBOLEV SPACES

 JI Min-You, TIAN Gu-Ji   

  1. School of Mathematical Sciences, Wuhan University, Wuhan 430072, China
  • Online:2000-01-07 Published:2000-01-07
  • Supported by:

    Supported by the Tian-yuan Mathematical Foundation of CNNSF and the Hua-Chen Mathematical Foundation.

摘要:

Using the correspondence between psedodifferential operator and its symbol,the authors obtain Heisenberg’s inequality in Sobolev spaces and therefore a kind of quan-titative representation of uncertainty principle.

关键词: Uncertainty principle, h-Fourier transform, pseudodifferential operator,Weyl symbol, Planck constant

Abstract:

Using the correspondence between psedodifferential operator and its symbol,the authors obtain Heisenberg’s inequality in Sobolev spaces and therefore a kind of quan-titative representation of uncertainty principle.

Key words: Uncertainty principle, h-Fourier transform, pseudodifferential operator,Weyl symbol, Planck constant

中图分类号: 

  • 58G35