Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (1): 113-121.

• Articles • Previous Articles     Next Articles

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.

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

CLC Number: 

  • 58G35
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